index int64 0 1.74k | image stringlengths 1.02k 414k | question stringlengths 31 488 | option stringlengths 38 473 | answer stringclasses 5
values |
|---|---|---|---|---|
0 | iVBORw0KGgoAAAANSUhEUgAAAP8AAAELCAYAAAAWfFBxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABtwSURBVHhe7Z19aBznnceXtnRbGkEpWSg4goACMjjibCjCoEAiKE4M5pC5kGtCjA1Oj9a4x/4R4xgHrGIZw6nQqvlD0AUHzjIS58MqCGyscBJu8Itwm9i0OiEqLLAVZDvIRSqHYPvH7+Y7+zzr2fdZaWef55n5fuDB1sxotc/zzOeZ531SQghJJJSfkIRC+QlJKJSfkIRC+QlJ... | As shown in the figure, a circle is drawn with vertex C of the square as the center. What is the measure of the central angle ∠ECF? ( )° | A. 45; B. 60; C. 72; D. 90; E. No correct answer | D |
1 | iVBORw0KGgoAAAANSUhEUgAAAP8AAAELCAYAAAAWfFBxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABtwSURBVHhe7Z19aBznnceXtnRbGkEpWSg4goACMjjibCjCoEAiKE4M5pC5kGtCjA1Oj9a4x/4R4xgHrGIZw6nQqvlD0AUHzjIS58MqCGyscBJu8Itwm9i0OiEqLLAVZDvIRSqHYPvH7+Y7+zzr2fdZaWef55n5fuDB1sxotc/zzOeZ531SQghJJJSfkIRC+QlJKJSfkIRC+QlJ... | As shown in the figure, a circle is drawn with vertex C of the square as the center, and the radius of the circle is as shown in the figure. The circumference of this circle is () cm. (Use π = 3.14) | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | B |
2 | iVBORw0KGgoAAAANSUhEUgAAAQEAAAENCAYAAAAPLtCGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB/fSURBVHhe7Z1vaFzHuca3fzeULvSDFwLO0oIKKjiCGIowqJdYEJyKhiLTEJIQ44Dc4oi07Acbxzhg5dbG3KtCresPgrvgcImMxE2xCgKrdqmE6hvHxsWxcYyuEmFdHAX/CXKR+kGw/fDe85w9sz672t0zu3t298yZ5weDveecXZ2Zed/nzMyZeSchhBCroQgQYjkUAUIshyJA... | As shown in the figure, a circle is drawn with the vertex C of a square as the center. The circumference of the circle is 25.12 cm. The length of the arc EF corresponding to the central angle ∠ECF is () cm. | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | D |
3 | iVBORw0KGgoAAAANSUhEUgAAAP8AAAELCAYAAAAWfFBxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABtwSURBVHhe7Z19aBznnceXtnRbGkEpWSg4goACMjjibCjCoEAiKE4M5pC5kGtCjA1Oj9a4x/4R4xgHrGIZw6nQqvlD0AUHzjIS58MqCGyscBJu8Itwm9i0OiEqLLAVZDvIRSqHYPvH7+Y7+zzr2fdZaWef55n5fuDB1sxotc/zzOeZ531SQghJJJSfkIRC+QlJKJSfkIRC+QlJ... | As shown in the figure, a circle is drawn with the vertex C of a square as the center. The circle intersects the sides BC and CD of the square at points E and F, respectively. What is the arc length of EF on this circle? ( ) cm.(π = 3.14) | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | D |
4 | iVBORw0KGgoAAAANSUhEUgAAAcYAAADVCAYAAADNV1CoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxvSURBVHhe7Z1diB1nGYBTWyXVigWLP5ALoQF7kYuiAQNbIYUgQYLkohcpBBHJRWhzsUguchEIWDBgwEIDBrLQShcMKDTQggFDVmjBgAEDrVhwQyMKFgwYMNCAguM+35nv7Hdm5+ye/TlzZuZ7Hnib7jlnz87M2X2feb/fXYWIiIgMUYwiIiIJilFERCRBMYqIiCQoRhERkQTF... | Mike has a conical water container. Each time he fills the cone with water and then pours it all into a cylindrical storage container. He repeats this process 6 times. How much water does he pour in total? ( ) cm3 | A. 314; B. 628; C. 1256; D. 2512; E. No correct answer | B |
5 | iVBORw0KGgoAAAANSUhEUgAAAcYAAADVCAYAAADNV1CoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxvSURBVHhe7Z1diB1nGYBTWyXVigWLP5ALoQF7kYuiAQNbIYUgQYLkohcpBBHJRWhzsUguchEIWDBgwEIDBrLQShcMKDTQggFDVmjBgAEDrVhwQyMKFgwYMNCAguM+35nv7Hdm5+ye/TlzZuZ7Hnib7jlnz87M2X2feb/fXYWIiIgMUYwiIiIJilFERCRBMYqIiCQoRhERkQTF... | As shown in the diagram, Mike uses a conical container to pour a total of 628 cm3 of water into a cylindrical water storage container, just enough to fill it. What is the height of the cylinder in cm? | A. 4; B. 8; C. 16; D. 20; E. No correct answer | B |
6 | iVBORw0KGgoAAAANSUhEUgAAAcYAAADVCAYAAADNV1CoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB5/SURBVHhe7Z1fiB1n3YD7F1PwIvAFLdKCSPDrRYqFLxeBVfBiLwIWDNiLCLkQXEoucrEXuehFQDBowID5aKCFLBhooAEFA0ZcsSRCCwYacMFCC25pwYABAwYUDCh03GfOec++Mzuzc87u+TMz7/PAj2TP/zPzzvuc3/v3sUxERERGKEYREZEIxSgiIhKhGEVERCIUo4iISIRi... | The height of the cylindrical water storage container is as shown in the figure. Its height is equivalent to ( ) meters. | A. 0.8; B. 0.08; C. 16; D. 8; E. No correct answer | B |
7 | iVBORw0KGgoAAAANSUhEUgAAAcYAAADVCAYAAADNV1CoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxvSURBVHhe7Z1diB1nGYBTWyXVigWLP5ALoQF7kYuiAQNbIYUgQYLkohcpBBHJRWhzsUguchEIWDBgwEIDBrLQShcMKDTQggFDVmjBgAEDrVhwQyMKFgwYMNCAguM+35nv7Hdm5+ye/TlzZuZ7Hnib7jlnz87M2X2feb/fXYWIiIgMUYwiIiIJilFERCRBMYqIiCQoRhERkQTF... | As shown in the figure, there is a cylindrical water storage container. Mike wants to fill it with water. He uses a conical water container, filling it completely with water each time and then pouring it all into the cylindrical container. After pouring water 6 times, the cylindrical container is just full. What is the... | A. 0.8; B. 0.08; C. 16; D. 8; E. No correct answer | B |
8 | iVBORw0KGgoAAAANSUhEUgAAAVcAAAEUCAYAAACf/XXaAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACAxSURBVHhe7d1baBxXmgfwHhioeUiz85CGAVsQ0IACtmAExhgUcBqCL4wYJNZkMsHCZpVZHGEv/RCtbRywwDZmthccjZYIphkF1jIW8RItNGNFDpFRkvEFzdrWOBohR1hgy/iGPMh+aOh5+La+qnNaJam7urq7Lqeq/j84xKruljrqqr9OnfrqnAQBAIDrEK4AAB5AuAIAeADh... | As shown in the figure, quadrilateral ABCD is a trapezoid, with the length of the lower base being twice the length of the upper base. What is the length of AD in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
9 | iVBORw0KGgoAAAANSUhEUgAAAVoAAAEVCAYAAAChXy3PAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACHLSURBVHhe7d1vaBtnngdwvSioL2roQQWFVBDQggONoYZgDA6kgpI/EA6HDdk2xKR7bpfUdBcfxDjGC/FdGwKrg8T1Cx+nw8teEmIuh7MgaDYutXHTOjG5TZxNjNdeU4OT4qTBKXY4BLMvfje/meeRx7L+jKSZ0TMz3w88NB6NbNWa+Xr0PL95nggBAICrELQAAC5D0AIAuAxB... | As shown in the figure, triangle DEC is rotated counterclockwise around point D by a certain angle, and it is found that point C' coincides with point A. What is the length of CD? ( ) cm | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
10 | iVBORw0KGgoAAAANSUhEUgAAAVcAAAEUCAYAAACf/XXaAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACYQSURBVHhe7d1/SBxpmgfwZlno/SOy+0caBhL3As7iQCKMEEQwkGkIJmHDoHshMxsSDOfskJEM9MI0TjDceBcl3PbCxAusxzRk4EZRLnt64BFXw3ZwM2Mi3iV6E/F0JYJxiE7oLBqOhto/nqun+n21uru6u7rt6q4f3w+8JFZXt61d/bX6fZ96Xx8BAEDJIVwBACyAcAUAsADC... | As shown in the figure, the perimeter of the isosceles trapezoid ABCD is () cm. | A. 4; B. 6; C. 8; D. 10; E. No correct answer | D |
11 | iVBORw0KGgoAAAANSUhEUgAAAVcAAAEUCAYAAACf/XXaAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACAxSURBVHhe7d1baBxXmgfwHhioeUiz85CGAVsQ0IACtmAExhgUcBqCL4wYJNZkMsHCZpVZHGEv/RCtbRywwDZmthccjZYIphkF1jIW8RItNGNFDpFRkvEFzdrWOBohR1hgy/iGPMh+aOh5+La+qnNaJam7urq7Lqeq/j84xKruljrqqr9OnfrqnAQBAIDrEK4AAB5AuAIAeADh... | As shown in the figure, quadrilateral ABCD is an isosceles trapezoid, with the length of the lower base being twice the length of the upper base. DE is the height of the isosceles trapezoid. After rotating triangle DEC counterclockwise by a certain angle around point D, point C' coincides with point A. What is the peri... | A. 4; B. 6; C. 8; D. 10; E. No correct answer | D |
12 | iVBORw0KGgoAAAANSUhEUgAAARIAAADNCAYAAAB0KP9tAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABZOSURBVHhe7Z1faBvXnsf1UFAfKrYPFRQcswUFXLg1NBCCwb00fkkaahaHW0q3xCRsciHXNIseapKSsjHbmHDxQ+P1gx8G7JcYmwaSBUMSu6yMt72u00AcNzapHRMviUviBqfYeRAoD7/Vb3SOPJb1Z0ZnzmiO/f3AIfHRkTSao99HZ86/iRAAACgCkQAAlIFIAADKQCQAAGUg... | As shown in the figure, the square DEOF is within a sector with a central angle of 90°. What is the length of OD in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | D |
13 | iVBORw0KGgoAAAANSUhEUgAAARIAAADMCAYAAAC/dCzIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABesSURBVHhe7Z1xaFTXnscHWhgpndI/HBA0rBBhChpQKCKkYAJiK/tYIpXWSoN2w0JfamEeNKtiS/O2StnNQs1j2cAOa/6oolsf5o+AwZRNmic1TX1U82w2JAYD1hK1JCXpH4Hxj9/O7879TW4md+7cO+eemXvi9wOHOGfu3Ln3nvl9POfcc8+JEQAAKAKRAACUgUgAAMpAJAAA... | As shown in the figure, quadrilateral DEOF is a square, and the diagonal OD = 1 cm. Then EF = ( ) cm, and OD and EF are ( ) to each other. | A. 4, parallel; B. 1, parallel; C. 2, perpendicular; D. 1, perpendicular; E. No correct answer | D |
14 | iVBORw0KGgoAAAANSUhEUgAAARAAAADNCAYAAABw3S9QAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxKSURBVHhe7Z19aBv5mcf1R2FaWtFSVrDgNRdwDxdSwxqKMbhHYih5oabYtOT2ljUOl72yK9jDBzFZk3Dro8mlXbUk3oUzVJDAxiaGFLtgSBoXnHpf8oKvsd2NMU5NDFmH2Buc4pRDoP7x3Dwzv0ceSSNpNBppZqTvB34QjeblN2M9n8zvPUIAAOASCAQA4BoIBADgGggEAOAa... | As shown in the figure, the diagonals of square DFEO are OD and EF. What is the area of square DFEO? ( ) cm² | A. 0.5; B. 3; C. 2; D. 1; E. No correct answer | A |
15 | iVBORw0KGgoAAAANSUhEUgAAARIAAADMCAYAAAC/dCzIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABesSURBVHhe7Z1xaFTXnscHWhgpndI/HBA0rBBhChpQKCKkYAJiK/tYIpXWSoN2w0JfamEeNKtiS/O2StnNQs1j2cAOa/6oolsf5o+AwZRNmic1TX1U82w2JAYD1hK1JCXpH4Hxj9/O7879TW4md+7cO+eemXvi9wOHOGfu3Ln3nvl9POfcc8+JEQAAKAKRAACUgUgAAMpAJAAA... | As shown in the figure, the square DEOF is within a sector with a central angle of 90°. What is the area of the square? ( ) cm² | A. 0.5; B. 3; C. 2; D. 1; E. No correct answer | A |
16 | iVBORw0KGgoAAAANSUhEUgAAAbAAAAESCAYAAACcmoDPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACXWSURBVHhe7d1/iBRnvu/x+SPQYdlhE0gvC2Y4wuxhAoncCCIDBpIBMRHCYWRDfhFRMPfgSgJzIF4dDGQ46hXOHIhz/GNgG1zOVcmwZvXAXJxoQHHd+AMvid7EK5N4HDDKqEHDKJeB3j++p77V9XTX9FRP/656nq73Cx50qn9MTXdVfeqpen50CQAADiLAAABOIsAAAE4iwAAA... | Given that quadrilateral ABCD is a trapezoid as shown in the figure, with an area of 20 cm², what is the height BF of trapezoid ABCD in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | A |
17 | iVBORw0KGgoAAAANSUhEUgAAAbAAAAESCAYAAACcmoDPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACXWSURBVHhe7d1/iBRnvu/x+SPQYdlhE0gvC2Y4wuxhAoncCCIDBpIBMRHCYWRDfhFRMPfgSgJzIF4dDGQ46hXOHIhz/GNgG1zOVcmwZvXAXJxoQHHd+AMvid7EK5N4HDDKqEHDKJeB3j++p77V9XTX9FRP/656nq73Cx50qn9MTXdVfeqpen50CQAADiLAAABOIsAAAE4iwAAA... | As shown in the figure, quadrilateral ABCE is a parallelogram, AB = 3 cm, then CE = ( ) cm | A. 4; B. 3; C. 2; D. 1; E. No correct answer | B |
18 | iVBORw0KGgoAAAANSUhEUgAAAbAAAAEUCAYAAABKw2PSAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC6hSURBVHhe7Z1/aBxHtu/FErYXdofNggcCttjABBRwxI3ACC/KJTtg7Bj8hwTBLzEWNjgXEpGAFqLnCIcb3ZcIQ7Rga/2HYOc+h72WsXi5yA/Es9YKyCghToTvdex4dYWyehI4NrId5CCZx0Dnj/P6dFfNtEbzo+dH91R1fT9wsFXdPRpVV9e3T9WpUy0EAAAAaAgEDAAAgJZA... | As shown in the figure, the area of triangle BCE is () cm². | A. 6; B. 3; C. 2; D. 1; E. No correct answer | A |
19 | iVBORw0KGgoAAAANSUhEUgAAAbAAAAESCAYAAACcmoDPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACXWSURBVHhe7d1/iBRnvu/x+SPQYdlhE0gvC2Y4wuxhAoncCCIDBpIBMRHCYWRDfhFRMPfgSgJzIF4dDGQ46hXOHIhz/GNgG1zOVcmwZvXAXJxoQHHd+AMvid7EK5N4HDDKqEHDKJeB3j++p77V9XTX9FRP/656nq73Cx50qn9MTXdVfeqpen50CQAADiLAAABOIsAAAE4iwAAA... | As shown in the figure, quadrilateral ABCD is a trapezoid, and quadrilateral ABCE is a parallelogram. Given that the area of trapezoid ABCD is 20 cm², what is the area of triangle BCE in cm²? | A. 6; B. 3; C. 2; D. 1; E. No correct answer | A |
20 | iVBORw0KGgoAAAANSUhEUgAAATIAAACXCAYAAACWYNcsAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA1fSURBVHhe7d1vSBxnHsDxfTd9I/emAwVZKCyHhbJcfSPhLKS+sQilRCgpOZAE5OAqBPbgrBXhTo5IuLNw8XqQF3u0bwx6d8UUhKTxhcGQ2oYcQaEiSohHm2ISMGXtC2H74nfz55l1XWf/uNmZZ2fm+4GBOo5GndnvPjPz7DYlABBxhAxA5BEyAJFHyABEHiEDEHmEDEDkETIA... | As shown in the figure, point B is directly north of point A, and point C is directly east of point B. What is the positional relationship between AB and BC? ( ) | A. Parallel; B. Perpendicular; C. Cannot be determined; D. No correct answer | B |
21 | iVBORw0KGgoAAAANSUhEUgAAATEAAACYCAYAAACMAd76AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA1pSURBVHhe7d1PaBtXHsBxHQrqxdA9zCkICjq4UMzWFxNwIfXFxRCWmIWULIQETGFrCOiwrjE+xJQYw2Zh420hB0F7kYl3NzgFQ9JowcGhdZvNkjpQE2xCBK1L/oADdg8CXX47f97Isjz6a8+T3sz3AwPpeOQ/mtFXTzNPakIAwGBEDIDRiBgAoxExAEYjYgCMRsQAGI2IATAa... | As shown in the figure, AB is perpendicular to BC. Mike needs 5 meters to walk from A to B, and 5 meters to walk from B to C. What is the measure of ∠BAC? ( )° | A. 45; B. 60; C. 72; D. 90; E. No correct answer | A |
22 | iVBORw0KGgoAAAANSUhEUgAAATAAAACXCAYAAACSlQcRAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA/wSURBVHhe7d1vSBxnAsfxfRGYvuhyfbNQkIXCBgykvhBKEOzRLpQEuePYkJISOUnAcnBCwINbJOS4CjUtd75oJC+EG2pe3HqVphdfWMzVF4a99owipAZqZa1EsBZj7lbQvhCmL343f55xZ/+6bnee3Wf294Gnjbuz1u6sX5+ZedaEQESkKAaMiJTFgBGRshgwIlIWA0ZEymLA... | As shown in the figure, Mike's initial position is at point A. He walks 5 meters north to reach point B, then walks 5 meters east to reach point C. In which direction is point C from point A? | A. North by west 45°; B. South by east 45°; C. North by east 45°; D. South by west 45°; E. No correct answer | C |
23 | iVBORw0KGgoAAAANSUhEUgAAATIAAACXCAYAAACWYNcsAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA1fSURBVHhe7d1vSBxnHsDxfTd9I/emAwVZKCyHhbJcfSPhLKS+sQilRCgpOZAE5OAqBPbgrBXhTo5IuLNw8XqQF3u0bwx6d8UUhKTxhcGQ2oYcQaEiSohHm2ISMGXtC2H74nfz55l1XWf/uNmZZ2fm+4GBOo5GndnvPjPz7DYlABBxhAxA5BEyAJFHyABEHiEDEHmEDEDkETIA... | As shown in the figure, Mike's initial position is at point A. He walks 5 meters north to reach point B, and then walks 5 meters east to reach point C. In which direction is point C from point A? | A. North by west 45°; B. South by east 45°; C. North by east 45°; D. South by west 45°; E. No correct answer | C |
24 | iVBORw0KGgoAAAANSUhEUgAAASoAAADNCAYAAAAPDD2hAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACBMSURBVHhe7Z1/iFTZlcdrYZIyYE+GYBEXp7OCQge0SQQxQgujEPzByqIwTCaJRqFDMDIDvexkJ6KgbCLCNkGb+cNAQYfsaJTM4EAabDS7iuOMP2gy2ptx3XYaGxwH7Rl0aP2jobJw9n3ve6d9dfu9qldV71W9V/X9wLGr7ntV9d6169vn3nvuOTkhhJCUQ6EihKQeChUhJPVQ... | As shown in the figure, triangle ABC is the cross-section of a cone cut along its middle. The height of the cone is as shown in the figure. What is the height of triangle ABC? ( ) cm | A. 4; B. 3; C. 2; D. 1; E. No correct answer | B |
25 | iVBORw0KGgoAAAANSUhEUgAAASoAAADNCAYAAAAPDD2hAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACBMSURBVHhe7Z1/iFTZlcdrYZIyYE+GYBEXp7OCQge0SQQxQgujEPzByqIwTCaJRqFDMDIDvexkJ6KgbCLCNkGb+cNAQYfsaJTM4EAabDS7iuOMP2gy2ptx3XYaGxwH7Rl0aP2jobJw9n3ve6d9dfu9qldV71W9V/X9wLGr7ntV9d6169vn3nvuOTkhhJCUQ6EihKQeChUhJPVQ... | As shown in the figure, the area of triangle ABC is 3 cm², and its height is equal to the height OA of the cone. What is the length of the base BC of the triangle? ( ) cm | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
26 | iVBORw0KGgoAAAANSUhEUgAAAS0AAADQCAYAAABSmDedAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACTRSURBVHhe7Z1xiFRXnu97NlkqC/asO6RIQDtk6MzrgCMbIYiMA6ZZMZEnswoZ1wnj2INZyDRx6ceOa0Qh/SYRYXvZsZ9/uEuBs7wo9qwZXWjQURldZ3ZtxZ2oOxHREX3EFqNBQxtmG2pYfu98z72/7tu376m6VXVv1b1d3w/8tOrcW9W3TlV963fO+Z3fr0MIISRHULQIIbmC... | As shown in the figure, the height of the cone is OA, and the diameter of the base is BC. What is the volume of the cone? ( ) cm³ | A. 3π; B. 1π; C. 2π; D. No correct answer | B |
27 | iVBORw0KGgoAAAANSUhEUgAAASoAAADNCAYAAAAPDD2hAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACBMSURBVHhe7Z1/iFTZlcdrYZIyYE+GYBEXp7OCQge0SQQxQgujEPzByqIwTCaJRqFDMDIDvexkJ6KgbCLCNkGb+cNAQYfsaJTM4EAabDS7iuOMP2gy2ptx3XYaGxwH7Rl0aP2jobJw9n3ve6d9dfu9qldV71W9V/X9wLGr7ntV9d6169vn3nvuOTkhhJCUQ6EihKQeChUhJPVQ... | If the cone shown in the figure is cut along the middle, the area of the triangle ABC at the cut surface is 3 cm², then what is the volume of the cone in cm³? | A. 3π; B. 1π; C. 2π; D. No correct answer | B |
28 | iVBORw0KGgoAAAANSUhEUgAAAVkAAADVCAYAAAD994PMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhnSURBVHhe7d1/aBznncfxpS1s/6i4/tGFgisoqKCAa1pDMQL3aAXFrmkKEgSnMTExpxYS1Tn0R3WucbioV5tw6KBRDWeu27M5YmPTBLmgw65VkHBztix858i0rlBqIkgTFDvIReofgu0f39vvzDyrkbS/Znee2fnxfsE09WjX1u4+z2dnnnnm+eYEAGANIQsAFhGyAGARIQsA... | As shown in the figure, quadrilateral ABCD is a trapezoid, with the lower base being three times the length of the upper base. When the upper base is extended to point E, it becomes a parallelogram, specifically parallelogram ABCE in the figure. What is the length of AD in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | B |
29 | iVBORw0KGgoAAAANSUhEUgAAAVcAAADTCAYAAAA1Z1BiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABssSURBVHhe7d1baBxXmgfwfgh0HiI2gTQEHEFCBxRwzEaQCIGCbUFwYkYsEmucOETYrLMhEfaiAWsdo0A0Gwsz0wOWxsvqoUGBjbQW40FeENixwkooF9nGM7a0sSPkGGtRFBw5yMHKg6Dy8G19Vee0qlt9qequU9f/DyqXktruyzn/rjp16nwJAgAA1yFcAQAUQLgCACiAcAUA... | As shown in the figure, quadrilateral ABCD is a trapezoid with an area of 48 cm². Its lower base is three times the length of its upper base, and the length of AD is as shown in the figure. What is the height AF of the trapezoid? ( ) cm | A. 6; B. 7; C. 8; D. 9; E. No correct answer | C |
30 | iVBORw0KGgoAAAANSUhEUgAAAVgAAADVCAYAAAASNejyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB3mSURBVHhe7Z1vaBznncf3RWH6ogspdMHgCgIbUMBVL4YiBAo42xYn5kyRuOA2osLm1IZUJLAHEapQwToSN1z2RaT6QIXlFLhIRNTBerFgn1VOQk0qWxhi6WqdkCqiQ1GQ7CIbqS8Ekxe/m9/M8+zO7s7uzuzuzM6f7wceJD07s9qd/T3ffeb3/PnGCAAAgCtAYAEAwCUgsAAA... | In parallelogram ABCE, the lengths of AF and AE are as shown in the figure. What is the area of parallelogram ABCE? ( ) cm² | A. 45; B. 60; C. 72; D. 90; E. No correct answer | C |
31 | iVBORw0KGgoAAAANSUhEUgAAAVkAAADVCAYAAAD994PMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhnSURBVHhe7d1/aBznncfxpS1s/6i4/tGFgisoqKCAa1pDMQL3aAXFrmkKEgSnMTExpxYS1Tn0R3WucbioV5tw6KBRDWeu27M5YmPTBLmgw65VkHBztix858i0rlBqIkgTFDvIReofgu0f39vvzDyrkbS/Znee2fnxfsE09WjX1u4+z2dnnnnm+eYEAGANIQsAFhGyAGARIQsA... | As shown in the figure, quadrilateral ABCD is a trapezoid with an area of 48 cm². Its lower base is three times the length of its upper base. When the upper base is extended to point E, it becomes a parallelogram, specifically parallelogram ABCE in the figure. What is the area of parallelogram ABCE in cm²? | A. 45; B. 60; C. 72; D. 90; E. No correct answer | C |
32 | iVBORw0KGgoAAAANSUhEUgAAAVIAAADuCAYAAABrqo9VAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACWSSURBVHhe7Z1fiF3VvcfHUphCm9IHB0o1tDSChSo1IOlAChoIqUIeDARvLQblJrd4Q6TzkGiCggErPkxBrQ+hDCilEYWIXhiuuSpEcr03VnLxz01tiIqCWqxXUok+BKYP685nn/2brDlz9jn7rHX+rbW/H1gY9zkzc87ae3/379/6rSknhBAiCgmpEEJEIiEVQohIJKRCCBGJ... | As shown in the figure, circles A and B have equal radii, both equal to 3 cm. A and B are the centers of the two circles, point A is on circle B, point B is on circle A, and point P is the intersection point of the two circles. Which of the following relationships between the lengths PA, PB, and AB is correct? | A. PA = PB = AB; B. PA > PB > AB; C. PA < PB < AB; D. PA = PB < AB; E. No correct answer | A |
33 | iVBORw0KGgoAAAANSUhEUgAAAVIAAADtCAYAAADtPv37AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADV5SURBVHhe7Z1tbBzntd/X175Z98a8zm2yQRqZSAC6pVGZbQi4BBEaVVi4VJQwAdUYTqxrgULpugohowSuVZqV2zANGQGXKExGARhgEfqiJmECCsgPvJEiCqBAv0giBOilFs1SFqRCpqAXgwqofCCw+XA6/5nn7D47nNmdndnl7sycH/BA4szs7swzM/85zznnOZMgQRAEIRAi... | In the given triangle PAB, the lengths of PA, PB, and AB are as shown in the diagram. What is the measure of ∠PBA? ( )° | A. 45; B. 60; C. 72; D. 90; E. No correct answer | B |
34 | iVBORw0KGgoAAAANSUhEUgAAAU8AAADrCAYAAADpNxS+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACg0SURBVHhe7Z1fqFXXve93k5bVh9ibh+62kMgtmGJpKo1QimCg8VBMAhKUUzw9UklAcykbc7GtYkoCDRhP4HqhsVJ8WGAfVCJHiA9yYjWgSIomeG6MGCuaEItNSGwxRfsgrD6Muz5zzd/eY8+9/o65/swx5/cDg52stfZ277HW+I7fv/EbU04IIcTASDyFECIAiacQQgQg8RRC... | As shown in the figure, the radius of circle B is marked, and point A is on circle B. A and B are the centers of two circles, and point P is the intersection point of the two circles. At this time, the arc length of segment PA is ( ) cm. | A. 3π; B. 1π; C. 2π; D. No correct answer | B |
35 | iVBORw0KGgoAAAANSUhEUgAAAVIAAADuCAYAAABrqo9VAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACWSSURBVHhe7Z1fiF3VvcfHUphCm9IHB0o1tDSChSo1IOlAChoIqUIeDARvLQblJrd4Q6TzkGiCggErPkxBrQ+hDCilEYWIXhiuuSpEcr03VnLxz01tiIqCWqxXUok+BKYP685nn/2brDlz9jn7rHX+rbW/H1gY9zkzc87ae3/379/6rSknhBAiCgmpEEJEIiEVQohIJKRCCBGJ... | As shown in the figure, circles A and B have equal radii. Point A is on circle B, and point B is on circle A. A and B are the centers of the two circles, respectively. Point P is the intersection point of the two circles. Connect PA and PB. At this time, the arc length corresponding to segment PA is () cm. | A. 3π; B. 1π; C. 2π; D. No correct answer | B |
36 | iVBORw0KGgoAAAANSUhEUgAAASkAAADuCAYAAABlA/E6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABs/SURBVHhe7Z1daFXXtsd3oXT3wZQWDBTacAsRIlSLBRHBgg3IqeGGSwSpnqI9BS14rb2EfnBatKdetMglDzbXh8DdFws3ioLQPAjmXC0Gj9RUhGoQybEtTTlarJW0aB8Cuw/j7P/KHDvLnf2xPveaa63/DyaatdfOx9pz/dcYY44xZkEIIcRiKFKEEKuhSBFCrIYiRQixGooU... | As shown in the figure, quadrilateral ABCD is a parallelogram. What is the relationship between the lengths of AB and CD? | A. AB = CD; B. AB > CD; C. AB < CD; D. No correct answer | A |
37 | iVBORw0KGgoAAAANSUhEUgAAASoAAADvCAYAAABFaJmcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAByhSURBVHhe7Z1taFVXl8fzoXALVZDSgFDDFCKk0AoWRAIVNCBPlZEhQtunT1FasAVH7EMsllqUqYMtZcgH60gJzB0URkWhUD8EzDNaDD5SUwlUg0gmtVR4arG2pEX9EIgf1tz/yV7X7fW+nHPuednn7v8PNibnvnhz7j7/s9baa63dJYQQ4jgUKkKI81CoCCHOQ6EihDgPhYoQ... | As shown in the figure, points A, B, and D are exactly on the circle with center C. Then the lengths of segments BC, AC, and CD satisfy ( ) | A. BC = AC = CD; B. BC > AC > CD; C. BC < AC < CD; D. BC = AC < CD; E. No correct answer | A |
38 | iVBORw0KGgoAAAANSUhEUgAAASoAAADvCAYAAABFaJmcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACMCSURBVHhe7Z1/aBznmccF/bGFVtS0FQ04agMKuOC41BCEwIFWEOKaM0GCoKRuRAROSyyaQ1ALxSg0Omo3HPojVn0g7rY4cLax7lzkP3RnWUqRUZM4dsVF8sWqkG2sYsvYSpGLbI6F7R/PzXd2ntXsan/M7M7svrvz/cBra0ezq93Zme88z/M+z/M2CCGEGA6FihBiPBQqQojx... | As shown in the figure, a circle is drawn with center C, and points A and B are exactly on the circle. The lengths of BC, AC, and CD are as shown in the figure, and AB = CD. What is the measure of ∠ABC? | A. 45°; B. 60°; C. 72°; D. 90°; E. No correct answer | B |
39 | iVBORw0KGgoAAAANSUhEUgAAASkAAADuCAYAAABlA/E6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABs/SURBVHhe7Z1daFXXtsd3oXT3wZQWDBTacAsRIlSLBRHBgg3IqeGGSwSpnqI9BS14rb2EfnBatKdetMglDzbXh8DdFws3ioLQPAjmXC0Gj9RUhGoQybEtTTlarJW0aB8Cuw/j7P/KHDvLnf2xPveaa63/DyaatdfOx9pz/dcYY44xZkEIIcRiKFKEEKuhSBFCrIYiRQixGooU... | As shown in the figure, quadrilateral ABCD is a parallelogram. A circle with a radius of 1 cm is drawn with center C, and the other three vertices of the parallelogram ABCD are exactly on the circle. What is the measure of ∠ABC? | A. 45°; B. 60°; C. 72°; D. 90°; E. No correct answer | B |
40 | iVBORw0KGgoAAAANSUhEUgAAAVMAAADYCAYAAABWSwDbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABeGSURBVHhe7d1vaFRXnwfwvBDGFw7rggOCDSukEMEGFCSETZdGEJ9K+yJCkVoIyqYsNrTLvNBViWyE6pMXeaBNA09gh7UsWgzrkrzIYjSFhKw2VnxWk0ezIRociBETJUrSFwPji9/e35l7kkk8k/mT30zP3PP9wEFzZzKTnPObb+6fc++tIAAA2DCEKQCAAIQpAIAAhCkAgACE... | In the quadrilateral ABCD shown in the figure, which is a rectangle with an area of 20 cm², what is the length of BA in cm? | A. 4; B. 3; C. 2; D. 5; E. No correct answer | A |
41 | iVBORw0KGgoAAAANSUhEUgAAAVgAAADaCAYAAADjY1onAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhsSURBVHhe7d1/aFTnnsfxgVuY/tFw7x8duGDDFiKk0AoKRcKm0AZEKzd/pNxif9BgWbvQDVfIHxtsUVa7TfGPKVy9QsMyrJeLEQOWeCG7tVpIkG7VYG+TbJWQNjjQRtSWeElkGZj+8d35njknORlnJvPjPGfOj/cLHjRnJjPJ9zz55MlznnNOQgAARhCwAGAIAQsAhhCwAGAI... | As shown in the figure, in rectangle ABCD, a sector with center B and radius BA intersects BC at point E. The square FBHG is inside the sector. What is the length of BG in cm? | A. 4; B. 3; C. 2; D. 5; E. No correct answer | A |
42 | iVBORw0KGgoAAAANSUhEUgAAAVYAAADWCAYAAACKaKrvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABejSURBVHhe7d1/aBznncfx7bmw/SNLc+AtOVxxBgVkiA01V4Q4BRJBsGOaP2Say8UlogY1PVfUsH/YpMY9rDY2/kOBxJeCKEsd2ihI1MYqCKxG5mRcN5aN09gm8QklwoJYRraDXKT8sbD943v7nZ2RVtL+3ucZz868XzDYml3trL7P6KNnn3lmJiYAAKMIVgAwjGAFAMMIVgAw... | Given the length of the diagonal BG of square FBHG, what is the area of square FBHG? ( ) cm² | A. 16; B. 8; C. 6; D. 4; E. No correct answer | B |
43 | iVBORw0KGgoAAAANSUhEUgAAAVMAAADYCAYAAABWSwDbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABeGSURBVHhe7d1vaFRXnwfwvBDGFw7rggOCDSukEMEGFCSETZdGEJ9K+yJCkVoIyqYsNrTLvNBViWyE6pMXeaBNA09gh7UsWgzrkrzIYjSFhKw2VnxWk0ezIRociBETJUrSFwPji9/e35l7kkk8k/mT30zP3PP9wEFzZzKTnPObb+6fc++tIAAA2DCEKQCAAIQpAIAAhCkAgACE... | As shown in the figure, quadrilateral ABCD is a rectangle with an area of 20 cm². Taking B as the center and BA as the radius, the sector intersects the length BC of the rectangle at point E. A square FBHG is drawn inside the sector. The area of square FBHG is () cm². | A. 16; B. 8; C. 6; D. 4; E. No correct answer | B |
44 | iVBORw0KGgoAAAANSUhEUgAAAQgAAADQCAYAAAD77P8JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA8FSURBVHhe7dxBSFsLvsfx7M4q3FVWxZULF8WFG5EnQ3FzS7ld6KYXCuIwbuYGLriRUIT3XNiBwU19s3AR8G0U5BXsBQd77SIliystZVp96CsWqdCxtF5IQd9COJv/O0lONGZMzd/5z8zfc76f4cB4jLfw//3yNzlJzAgAtMGCANAWCwJAWywIAG2xIAC0xYIA0BYLAkBbLAgA... | The perimeter of rectangle ABCD is 20 cm. What is the length of AB in cm? | A. 4; B. 3; C. 2; D. 5; E. No correct answer | A |
45 | iVBORw0KGgoAAAANSUhEUgAAAQgAAADOCAYAAADCMJziAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFqSURBVHhe7dxPSJv7mgfw7N5VOKusJKssXBQXbkRGLsVNpZwudOOBgngZN7eBgosJoQgzLnSGO250unARcOBeBZle7IEMbeMiJdDj6HROq4NOiUgFx1I9kEKchfBuvvN7/yRGT1L92efe++TN93N44eT1jdLn+ebJ+y+JgYioBQ4IImqJA4KIWuKAiBD36L9QeLOPaviY6Ftx... | As shown in the figure, the rectangle ABCD is a front view of a cylinder. The length and width are marked in the figure. What is the height of the cylinder ( ) cm, and what is the radius of the base ( ) cm? | A. 6, 4; B. 6, 3; C. 4, 2; D. 6, 2; E. No correct answer | D |
46 | iVBORw0KGgoAAAANSUhEUgAAAQgAAADQCAYAAAD77P8JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABceSURBVHhe7Z0PcBVFnsejYoICJVnNkQOiuQp1QQWNCqgXtgRkFUQxbGGIwT8s4JINruZWEBRQFDRgThERA2bVLeXUNSypFQoIWfOknsjfNSBspaBQtgRFlspyyl2lKqi/m29n5jnvZZ52IJ30i98P9avw5s2bPz3dn+nu+dNJQgghcaAgCCFxoSAIIXGhIAghcaEgCCFxoSAI... | As shown in the figure, the surface area of the following cylinder is () cm². | A. 24π; B. 16π; C. 32π; D. No correct answer | C |
47 | iVBORw0KGgoAAAANSUhEUgAAAQgAAADQCAYAAAD77P8JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA8FSURBVHhe7dxBSFsLvsfx7M4q3FVWxZULF8WFG5EnQ3FzS7ld6KYXCuIwbuYGLriRUIT3XNiBwU19s3AR8G0U5BXsBQd77SIliystZVp96CsWqdCxtF5IQd9COJv/O0lONGZMzd/5z8zfc76f4cB4jLfw//3yNzlJzAgAtMGCANAWCwJAWywIAG2xIAC0xYIA0BYLAkBbLAgA... | As shown in the figure, the rectangle ABCD is the front view of a cylinder. The perimeter of rectangle ABCD is 20 cm. What is the surface area of this cylinder in cm²? | A. 24π; B. 16π; C. 32π; D. No correct answer | C |
48 | iVBORw0KGgoAAAANSUhEUgAAAZAAAACeCAYAAAAcwlwIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyZSURBVHhe7d1PSFtrHsbx7M4qzCqrklUWLooLNyIThoubljJdWAYsFIrlurlXuJBNkOLAZMDOxk3DLFwc6GwsI1NGLzjYaxcpgbmO0plWh0pHkQodi/VCCjqLQDbPnCRvNP43p974vsfvp7xQ37xxc97feTznPW8SEwAAIRAgAIBQCBAAQCgECAAgFAIEABAKAQIACIUAAQCE... | As shown in the figure, the area of the rectangle is 12.56 cm². What is the length of AD (in cm)? | A. 50.24; B. 3.14; C. 12.56; D. 6.28; E. No correct answer | D |
49 | iVBORw0KGgoAAAANSUhEUgAAAY8AAACdCAYAAABM8/TDAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABE0SURBVHhe7d1PSCRpnsbxvMUp2VOeijzlwUPhQVhEVpbGi02xxWCxYLMFhcUIy7RQSw6sK1ID64BOH7yYOwcPAe7FYmR6VxtcqloXUrJ3yi2pbVuHEtdCFGotbBuyQIchIS7PvpERqZlp+ieqq9N4s76f5oU2MlLtjvcXT7zxvpEmBABARIQHACAywgMAEBnhAQCIjPAAAERG... | The lateral surface of a cylinder is unfolded into a rectangle ABCD as shown in the figure. What is the diameter of the base of this cylinder ( ) cm, and what is its height ( ) cm?(Use π = 3.14) | A. 6.28, 1; B. 1, 2; C. 6.28, 2; D. 2, 2; E. No correct answer | D |
50 | iVBORw0KGgoAAAANSUhEUgAAAY4AAACdCAYAAACjMZ/9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABOSSURBVHhe7d19cBVVmsdxVCRqwCIKikIspsIYfC0siS8lCkwpL8oi7DDIRBGEWCCDM7EkBkUkCizDpJTB6ABGwTdExILSuEaBTSZDVl7CEFhHI6CmCnAAqUwW+SNrKH22n5Pbl76XG0jDSTiB76fqKUjfvm/9x/ndc053nzYCAEAIBAcAIBSCAwAQCsEBAAiF4AAAhEJwAABC... | The lateral view of the cylinder is a rectangle ABCD as shown in the figure. Therefore, the front view of this cylinder is a (). | A. Cannot be determined; B. Circle; C. Rectangle; D. Square; E. No correct answer | D |
51 | iVBORw0KGgoAAAANSUhEUgAAAZAAAACeCAYAAAAcwlwIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyZSURBVHhe7d1PSFtrHsbx7M4qzCqrklUWLooLNyIThoubljJdWAYsFIrlurlXuJBNkOLAZMDOxk3DLFwc6GwsI1NGLzjYaxcpgbmO0plWh0pHkQodi/VCCjqLQDbPnCRvNP43p974vsfvp7xQ37xxc97feTznPW8SEwAAIRAgAIBQCBAAQCgECAAgFAIEABAKAQIACIUAAQCE... | The lateral view of the cylinder is a rectangle ABCD with an area of 12.56 cm² as shown in the figure. Therefore, the front view of this cylinder is a ().(π = 3.14) | A. Cannot be determined; B. Circle; C. Rectangle; D. Square; E. No correct answer | D |
52 | iVBORw0KGgoAAAANSUhEUgAAASgAAADQCAYAAAC0sfzZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABJCSURBVHhe7d1PaBxnmoDxPhj6ErG5NCQIZQM6yGDE4osRKBB0STAMiwzGQwImDGJgERh6WYwIXrAO1g6M5mDFBx0aDMvaWOCMfRA4icLKaOLINrPrkXCEkOOxwCuh2KENUg4NncO79VZVS9XVVa3uUv/5qur5wQdRqVpWvv76UVV1S50RADAUgQJgLAIFwFgECoCxCBQAYxEo... | As shown in the figure, the perimeter of square ABCD is given. What is the length of its side in cm? | A. 4; B. 3; C. 2; D. 5; E. No correct answer | C |
53 | iVBORw0KGgoAAAANSUhEUgAAASgAAADQCAYAAAC0sfzZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABOiSURBVHhe7d1NaBxnnoBxHQJ9sdhcmhicDgEdFAg+GIIxKw+OcpAxGwaLMQ4JGJkIlkQQ6MNobWHDaMDCDH2IRQ5atkGGiUS066x80KyNdZBRknGiNXgisNEqETJoZGQb5CCFoaF8+G+91VVSdXdVf1V/vFX1/KDA7m4pTtWrR/VdHQIAmiJQALRFoABoi0AB0BaBAqAtAgVA... | As shown in the figure, the volume of the rectangular cuboid is 4 cm³, and its base is a square. What is the height of the rectangular cuboid in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | D |
54 | iVBORw0KGgoAAAANSUhEUgAAASgAAADQCAYAAAC0sfzZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABU9SURBVHhe7d1vaBtngsdxvyioL6IXBxUtpIaAX6hQ/CJQjMGFVm9iDH3hQHFJwKTUUO4CBR/UGOOF+pZ4C9Ub6wLrBbF+sedcfc3ivBCXrF1q40vrxJR1Yhqfzq6JwE2InaCAXQ7B9MVv5xnNyCNpRpoZ688zM78PPLSWRnYYjb+eGc2fDhARSYqBIiJpMVBEJC0GioikxUAR... | As shown in the figure, the rectangular cuboid has a square base. What is the surface area of the rectangular cuboid? ( ) cm² | A. 16; B. 12; C. 6; D. 4; E. No correct answer | A |
55 | iVBORw0KGgoAAAANSUhEUgAAASgAAADQCAYAAAC0sfzZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABJCSURBVHhe7d1PaBxnmoDxPhj6ErG5NCQIZQM6yGDE4osRKBB0STAMiwzGQwImDGJgERh6WYwIXrAO1g6M5mDFBx0aDMvaWOCMfRA4icLKaOLINrPrkXCEkOOxwCuh2KENUg4NncO79VZVS9XVVa3uUv/5qur5wQdRqVpWvv76UVV1S50RADAUgQJgLAIFwFgECoCxCBQAYxEo... | As shown in the figure, the volume of the rectangular cuboid is 4 cm³. Its base is a square. The surface area of the rectangular cuboid is () cm². | A. 16; B. 12; C. 6; D. 4; E. No correct answer | A |
56 | iVBORw0KGgoAAAANSUhEUgAAAXgAAADyCAYAAABHwd6sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABm4SURBVHhe7Z1PaBxXmsB1CHQyM8qcBANOswEFPOD4oIsxeMCji0TAzEgXDTEYmxV7iMCghcjGZCHaYRUfdEiUGSKWnhUZRslqh6BZEEREw1p4sutMcMbESZysjInBseN4BgXsPQj6kG/fq6pXXd1d1apu9Z+vSr8ffGB39Z+q9733q1fvvSr1CQAA5BIEDwCQUxA8AEBOQfAA... | As shown in the figure, the rectangular cuboid can be divided into two identical cubes. The total length of the edges of each cube is marked in the figure. What is the edge length of one cube? ( ) cm | A. 4; B. 3; C. 2; D. 5; E. No correct answer | C |
57 | iVBORw0KGgoAAAANSUhEUgAAAXMAAADwCAYAAADy6YRQAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABQLSURBVHhe7d1vaFT3msDxtHU5UMyFfTHbggwrjHReiGx9sRKaQju+0AptSXdb1xvIGsibtXAv86JpGyzohXphzYvqvqiXzGpfGIlwWwWl1sgmWl3/YfUq11izTQ1We2MkEQ33KjMv+uz5zZxJZiZn5oxJJnnOL98PPNCc38koTv16PH/GOgEAhB4xBwALEHMAsAAxBwALEHMA... | As shown in the figure, the rectangular cuboid can be split into two identical cubes. What are the length, width, and height of the original rectangular cuboid in cm? | A. 2, 2, 4; B. 2, 4, 2; C. 2, 2, 2; D. 4, 2, 2; E. No correct answer | D |
58 | iVBORw0KGgoAAAANSUhEUgAAAXUAAADyCAYAAACyP1UcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABSaSURBVHhe7d1faFRnn8DxgRYGSgcs7Vy8hGELc5GCeOGNZJuC5i0oghfKCylvQVo2UDAgnYvNvgQvdFm7LAZa2wu7zayWknQVtrpg9tXqbtLaEjVrFd2N26SxSqvvxpSkqLybMHPR355z5jxx8uTMTCaZPz+ffj/wQzPnZJSMzzfHM2cmMQEAOIOoA4BDiDoAOISoA4BDiDoA... | As shown in the figure, the rectangular cuboid can be split into two identical cubes. What is the surface area of the rectangular cuboid? ( ) cm² | A. 48; B. 40; C. 32; D. 20; E. No correct answer | B |
59 | iVBORw0KGgoAAAANSUhEUgAAAXgAAADyCAYAAABHwd6sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABm4SURBVHhe7Z1PaBxXmsB1CHQyM8qcBANOswEFPOD4oIsxeMCji0TAzEgXDTEYmxV7iMCghcjGZCHaYRUfdEiUGSKWnhUZRslqh6BZEEREw1p4sutMcMbESZysjInBseN4BgXsPQj6kG/fq6pXXd1d1apu9Z+vSr8ffGB39Z+q9733q1fvvSr1CQAA5BIEDwCQUxA8AEBOQfAA... | As shown in the figure, the rectangular cuboid can be split into two identical cubes. The total length of the edges of each cube is marked in the figure. What is the surface area of this rectangular cuboid? ( ) cm² | A. 48; B. 40; C. 32; D. 20; E. No correct answer | B |
60 | iVBORw0KGgoAAAANSUhEUgAAAUsAAADiCAYAAADH0+UMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB/vSURBVHhe7Z1/aJTZuccDbZkWNtA/HCi4gUIK2bIGKoiERugKRVfwj8iVbVYM2kaolXXJBb1VXDD3qgRu/uha/5DLgP6hS+Rub/ZCwLQuV7n1qvWGWmXdG2LFFHWJP4hFtxCY/vHc+Z45T/adyTsz75yZeef98f3A2TVnZt457zNzvvOcc57znA4hhBBSE4olIYQEgGJJCCEB... | As shown in the figure, the volume and height of the cone are given. What is the radius of the base of this cone in cm?(π = 3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | D |
61 | iVBORw0KGgoAAAANSUhEUgAAAUUAAADfCAYAAABh/sHMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABx/SURBVHhe7Z1viFRl38eXCKYXLRS4ENiSsIGCBgkhSwYliBrIjUKEWZFkL8xuYR9IVArywUS490XPJjz7YiB5yFAeH/LFQqbBLvsUVshjdle3aKLgH8w79g7txcIW/J75njm/8drxnJlzzcw557rO+X7gQvfMOTNnrjPzmd+5/v36hBBCSANKkRBCDChFQggxoBQJIcSAUiSE... | As shown in the figure, the height and the base radius of the cone are given. Then the front view of the cone is a ( ) | A. Square; B. Rectangle; C. Equilateral triangle; D. Isosceles triangle; E. No correct answer | D |
62 | iVBORw0KGgoAAAANSUhEUgAAAUYAAADfCAYAAACKyXrPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABW+SURBVHhe7d1faFTX3sbxXBSmFwa8MCBoQIigoIKCiKBgAxItyCEBESlKBb2QoDAXBhWFI4gIzYVYX8jFgOWgL8rrQS8CTY9CRAQ9Ek5t62tDqijYFusrqagXgenF7521Z/2SnZ1JZtb82bPXnu8HNuqaTGZmOXmyZu9n9rQJAGAWghEAIghGAIggGAEggmAEgAiCEQAiCEYA... | As shown in the figure, the front view of the cone is the isosceles triangle below. The area of this triangle is () cm². | A. 4; B. 3; C. 2; D. 1; E. No correct answer | B |
63 | iVBORw0KGgoAAAANSUhEUgAAAUkAAADiCAYAAADDJjUxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB/hSURBVHhe7Z1viFTZmcYbklAJTEM+WBBwGgId6AljQwZEmihkhKAj+KFlZdIz2IyJQoyMgwu6GXFAd1WE7Q8Z4wdZCvSDDi072Z6FBjtxWGXjqnGbGGWcbXoi00Ed2j+0QSfQUPnwbj2nzttzq/rWrVun6t66f54fnBn7VNWtc9+q89R7znnPe3qEEEJIQyiShBASAEWSEEIC... | As shown in the figure, the volume and height of the cone are given. What is the area of the front view of this cone? ( ) cm².(π = 3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | B |
64 | iVBORw0KGgoAAAANSUhEUgAAAS0AAADYCAYAAAC+y7XwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaKSURBVHhe7d1vaFTnngfweVGYvjBsXzggaECIkIINKBQJG6EEin9YuRhWeotUFHShDRZmoSEWC5W14otc0OCLXBiwsOrqrrv6IqxWy0Zylai4NOY2ITdRFDSiVmKJvgiML373/M48v+RkMpM5M5k5z/M78/3AoebMjM15kvn6nHO+50yCAAAUQWgBgCoILQBQBaEFAKogtABA... | As shown in the figure, the area of triangle ABC is 48 cm², and it is the front view of a cone. What is the length of BC in cm? | A. 16; B. 8; C. 6; D. 4; E. No correct answer | B |
65 | iVBORw0KGgoAAAANSUhEUgAAASsAAADZCAYAAAB4iRYSAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABsRSURBVHhe7Z1RaBvXmsf1UJg+1NwuVFBIBQEXXEjN1lBCWBdSQ4kbNiwOlNCGhoR1d7kN7aKFepOQQl2aULZ+aH37EFhBCrcOMdtLUvASpy44pKF2vLm3dbbX+DoJNTgOTlKcYvfBMHn4dr6Zc+SRNJJmFOnonKP/Dw61z0iO9OnMr2dm/jqTIgAAMADICgBgBJAVAMAIICsA... | As shown in the figure, triangle ABC is the front view of a cone. What is the height of this cone in cm, and what is the radius of its base in cm? | A. 12, 4; B. 12, 2; C. 12, 8; D. 10, 4; E. No correct answer | A |
66 | iVBORw0KGgoAAAANSUhEUgAAASwAAADZCAYAAACaVQ1rAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABnLSURBVHhe7Z1fiBzVnscHEVrEQR8yIMQBYYQRTMRg0EAiZkCSXJBLRMmqJBrWPGRHhVnQew0OOOBKHubBG32Yh4aENZEElLgy4LCRneBmN9kQ1j/XG4ZZQwIaSXLDKIkPA+3Db/tbXb9JdU1Vd1VP1+lzTn0/cEimqrq76lSfT59z6pzz6xNCCHEECosQ4gwUFiHEGSgsQogz... | The height and the radius of the base of a cone are shown in the diagram. What is the volume of this cone in cm³? | A. 24π; B. 16π; C. 32π; D. 64π; E. No correct answer | D |
67 | iVBORw0KGgoAAAANSUhEUgAAAS0AAADYCAYAAAC+y7XwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaKSURBVHhe7d1vaFTnngfweVGYvjBsXzggaECIkIINKBQJG6EEin9YuRhWeotUFHShDRZmoSEWC5W14otc0OCLXBiwsOrqrrv6IqxWy0Zylai4NOY2ITdRFDSiVmKJvgiML373/M48v+RkMpM5M5k5z/M78/3AoebMjM15kvn6nHO+50yCAAAUQWgBgCoILQBQBaEFAKogtABA... | As shown in the figure, triangle ABC with an area of 48 cm² is the front view of a cone. What is the volume of this cone in cm³? | A. 24π; B. 16π; C. 32π; D. 64π; E. No correct answer | D |
68 | iVBORw0KGgoAAAANSUhEUgAAAVQAAAC/CAYAAAChZiRAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABmESURBVHhe7Z1taFXXmsdPX+zph6bTDx4oaKAQ4RRuLUqlBOLQCsVbGT8oiLViqkyEesXSDNSpJeVWUJFpPrSpHzJzz2AZtKPUSx0I1NGWSG9RK0Jf8GbEFxpQS6olKUk/BE4/PLP/++wn2Sc5OTlJ1t577bX/v7Ko2Tk52Tlr799e61nPWisnhBBCjEChEkKIIShUQggxBIVK... | As shown in the figure, the central angle of the sector is 90°, and its area is equal to the area of the circle shown below. What is the area of the sector in cm²?(Use π=3.14) | A. 50.24; B. 3.14; C. 12.56; D. 6.28; E. No correct answer | B |
69 | iVBORw0KGgoAAAANSUhEUgAAAVYAAAC/CAYAAAClk/R9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACBXSURBVHhe7Z1vaBzXuYe3f7eEivRCFwqpSukGFLDNrcG44qrgCoJTEVESWtxcE1fqdSnOklDd1kI1cW9UYtMP+hCrulQfFtxCJGJQsQOiduWCjG6MI2NuZLcSRqqxwVaw3eIUOVwE2w/vnd/svKvRane1K83OnDPze8Ih1mj/jObMPHPmPe85JyWEEEIChWIlhJCAoVgJISRg... | As shown in the figure, the area of the sector is marked. What is the radius of this sector in cm? (Use π=3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
70 | iVBORw0KGgoAAAANSUhEUgAAAVcAAAC/CAYAAABKUZ9DAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB62SURBVHhe7Z1/aBznmce3P7eEivagCwVXpVQBBWzTGoIqUMHVEeya6A+bK0ls4ko9l+KImKqtjSrsXnQXC0P0h63zcbpjwO0R+WzqIAd0dSoVZHxubQtTy75aJ+QaCxwFxw5ykcKxsP3jufnOziPNrlbSSpof78x8P+HF0Wi0Ozvvvp9553mf952MEEII8R3KlRBCAoByJYSQ... | The radius of the sector is shown in the figure, and the central angle is 90°. What is the area of triangle ABC? ( ) cm² | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
71 | iVBORw0KGgoAAAANSUhEUgAAAVQAAAC/CAYAAAChZiRAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABmESURBVHhe7Z1taFXXmsdPX+zph6bTDx4oaKAQ4RRuLUqlBOLQCsVbGT8oiLViqkyEesXSDNSpJeVWUJFpPrSpHzJzz2AZtKPUSx0I1NGWSG9RK0Jf8GbEFxpQS6olKUk/BE4/PLP/++wn2Sc5OTlJ1t577bX/v7Ko2Tk52Tlr799e61nPWisnhBBCjEChEkKIIShUQggxBIVK... | Given that the area of the sector with a central angle of 90° is equal to the area of a circle on the left, connect points A and C. What is the area of triangle ABC in cm²?（Use π=3.14） | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
72 | iVBORw0KGgoAAAANSUhEUgAAAYgAAAClCAYAAABGBmp6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABUESURBVHhe7d1taBTn3sfx7eOWtqFFXCvVgCVttQ8pDbRpIFJNETWtLQnHPnBaUe4otWmlQZpGq8UU9fRFWjT4IpS9b31hRKE3phBQopCQ0xs1eHNqTishVhRsilpJi/ZFYPvif/Y/OzPZXa/d7EMedme+H7hond1EM7OZ38x1Xf9rAgIAgAEBAQAwIiAAAEYEBADAiIAAABgR... | As shown in the figure, ABCD is a parallelogram. What is the measure of ∠B? ( )° | A. 45; B. 60; C. 30; D. 90; E. No correct answer | C |
73 | iVBORw0KGgoAAAANSUhEUgAAAYsAAACjCAYAAAB7aDJkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABUDSURBVHhe7d19aFTXusfx6euUthH7Mn1BQy1pia0GlNrUNm01pXi0FDFe21NKxUDk0AaF3FaxRbnm0lopEXz7wwsDSqupggctBJSopHp6jjYI0Zw22NSg0KZUT0mL7R+B6R/PnWfPWpOZySR7XpOZvb8f2Kizx7zMntm/vddaz1oBAQDABWEBAHBFWAAAXBEWAABXhAUAwBVh... | As shown in the figure, a sector is drawn with B as the vertex and AB as the radius, just passing through point C. Given that the area of this sector is 37.68 cm², what is the length of AB=BC= ( ) cm?(Use π=3.14) | A. 12; B. 8; C. 6; D. 4; E. No correct answer | A |
74 | iVBORw0KGgoAAAANSUhEUgAAAYsAAACoCAYAAAARr8KnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhuSURBVHhe7d1/aBznnQbwbVo6hXRDC93+wBVX2KbbNhVUEIRbpXUWgh1xJkht4jbGwgaX4iw2bNvoVONw1l2tGLOBWPVxurvlFO4sxSo5pMKCfVLpOkpiu8J3jnS1cNfxWeAoyHJuXeRSBNM/npvv7Dur3dGsZle7knZnng8MsWdkKdrZnWfmfd/v+wZARETkgmFBRESuGBZE... | As shown in the figure, quadrilateral ABCD is a parallelogram. What is the perimeter of this parallelogram in cm? | A. 48; B. 40; C. 32; D. 20; E. No correct answer | A |
75 | iVBORw0KGgoAAAANSUhEUgAAAYgAAAClCAYAAABGBmp6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABUESURBVHhe7d1taBTn3sfx7eOWtqFFXCvVgCVttQ8pDbRpIFJNETWtLQnHPnBaUe4otWmlQZpGq8UU9fRFWjT4IpS9b31hRKE3phBQopCQ0xs1eHNqTishVhRsilpJi/ZFYPvif/Y/OzPZXa/d7EMedme+H7hond1EM7OZ38x1Xf9rAgIAgAEBAQAwIiAAAEYEBADAiIAAABgR... | As shown in the figure, ABCD is a parallelogram. Using B as the vertex and AB as the radius, a sector is drawn that just passes through point C. Given that the area of this sector is 37.68 cm², what is the perimeter of this parallelogram in cm?(Use π=3.14) | A. 48; B. 40; C. 32; D. 20; E. No correct answer | A |
76 | iVBORw0KGgoAAAANSUhEUgAAAsIAAAFyCAYAAAD/MLwxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAADWzSURBVHhe7d0PkFX1dcDxQAIKFQTG4MSxuIIDiWZwBQsGKpIwQipNYQAHijhQIWU1NJKUGjRElhEsRBA2AbtoyKoJUWw2BCdrCyMwoGIlFhStjRjBQEUDEa2M4kAzt3M25+rv3PfYff/fvff3/cycUfbsv/fevb/f2d8793c/FQAAAAAeohAGAACAlyiEAQAA4CUKYQAAAHiJ... | As shown in the figure, quadrilateral ABCD is an isosceles trapezoid. What is the length relationship between AB and CD? ( ) | A. AB = CD; B. AB > CD; C. AB < CD; D. No correct answer | A |
77 | iVBORw0KGgoAAAANSUhEUgAAAsIAAAFyCAYAAAD/MLwxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAADWzSURBVHhe7d0PkFX1dcDxQAIKFQTG4MSxuIIDiWZwBQsGKpIwQipNYQAHijhQIWU1NJKUGjRElhEsRBA2AbtoyKoJUWw2BCdrCyMwoGIlFhStjRjBQEUDEa2M4kAzt3M25+rv3PfYff/fvff3/cycUfbsv/fevb/f2d8793c/FQAAAAAeohAGAACAlyiEAQAA4CUKYQAAAHiJ... | As shown in the figure, point E is taken on BC, and quadrilateral ABCD is folded along DE so that the folded point C coincides exactly with point A. What is the relationship between the lengths of CD and AD? | A. AD = CD; B. AD > CD; C. AD < CD; D. No correct answer | A |
78 | iVBORw0KGgoAAAANSUhEUgAAAsIAAAFyCAYAAAD/MLwxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAADWzSURBVHhe7d0PkFX1dcDxQAIKFQTG4MSxuIIDiWZwBQsGKpIwQipNYQAHijhQIWU1NJKUGjRElhEsRBA2AbtoyKoJUWw2BCdrCyMwoGIlFhStjRjBQEUDEa2M4kAzt3M25+rv3PfYff/fvff3/cycUfbsv/fevb/f2d8793c/FQAAAAAeohAGAACAlyiEAQAA4CUKYQAAAHiJ... | As shown in the figure, DC = AD = AB, and quadrilateral ABED is a parallelogram. What is the relationship between the lengths of DE and AD? | A. DE=AD; B. DE>AD; C. DE<AD; D. No correct answer | A |
79 | iVBORw0KGgoAAAANSUhEUgAAAsIAAAFyCAYAAAD/MLwxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAADWzSURBVHhe7d0PkFX1dcDxQAIKFQTG4MSxuIIDiWZwBQsGKpIwQipNYQAHijhQIWU1NJKUGjRElhEsRBA2AbtoyKoJUWw2BCdrCyMwoGIlFhStjRjBQEUDEa2M4kAzt3M25+rv3PfYff/fvff3/cycUfbsv/fevb/f2d8793c/FQAAAAAeohAGAACAlyiEAQAA4CUKYQAAAHiJ... | As shown in the figure, quadrilateral ABCD is an isosceles trapezoid. Point E is taken on BC, and the figure is folded along DE such that point C coincides exactly with point A after folding. At this time, a parallelogram ABED is formed. The relationship between the lengths of DE and AD is ( ) | A. DE=AD; B. DE>AD; C. DE<AD; D. No correct answer | A |
80 | iVBORw0KGgoAAAANSUhEUgAAAVIAAADYCAYAAAC5iWvlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABoVSURBVHhe7Z1/iFVVu8cHikaiAaEmpBwQRpqo5CaJiBYliq+FgS+JN6ThlWtESuEQ/kiSq2Q/iAnMhLxxIiEtDCWh4VpjvQ5aTIrdLMo7qNGAGeYrJpNcBo5/PPd899nPnn32rHPm7LOOOWc/3w980Tl77R/rOWt/z9rr124SQgghXtBICSHEExopIYR4QiMlhBBPaKSEEOIJ... | A rectangular steel plate with a length of 20.56 cm is shown in the diagram. The shaded part obtained by cutting the plate can be used to make a cylinder. What is the radius of the circular shaded part in cm?(Use π = 3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
81 | iVBORw0KGgoAAAANSUhEUgAAAVUAAADaCAYAAAAWndGXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB5tSURBVHhe7Z1/iBT33ccPErpSchBoN4jxQFip0vYgEhGJDSoWY4qBE4NJD48ISngi9ek29KJiQZ9WI+UCxgiRsEUhMdXUoA+5B9PT4KH2OT3ME5VExB/1wFhOI6doKAvrH59n3rPz2Z2d++6PuZtd9+b7fsEbz5nvzM73s99573e+v6ZFCCGERAZNlRBCIoSmSgghEUJTJYSQ... | As shown in the figure, the area of the shaded part of the circle is () cm² .(Use π=3.14) | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | C |
82 | iVBORw0KGgoAAAANSUhEUgAAAVUAAADaCAYAAAAWndGXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB5tSURBVHhe7Z1/iBT33ccPErpSchBoN4jxQFip0vYgEhGJDSoWY4qBE4NJD48ISngi9ek29KJiQZ9WI+UCxgiRsEUhMdXUoA+5B9PT4KH2OT3ME5VExB/1wFhOI6doKAvrH59n3rPz2Z2d++6PuZtd9+b7fsEbz5nvzM73s99573e+v6ZFCCGERAZNlRBCIoSmSgghEUJTJYSQ... | A rectangular steel plate is shown in the figure. The shaded part obtained by cutting can be used to make a cylinder. The area of the circular shaded part is 12.56 cm². What is the volume of this cylinder in cm³?(Use π = 3.14) | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | A |
83 | iVBORw0KGgoAAAANSUhEUgAAAVIAAADYCAYAAAC5iWvlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABoVSURBVHhe7Z1/iFVVu8cHikaiAaEmpBwQRpqo5CaJiBYliq+FgS+JN6ThlWtESuEQ/kiSq2Q/iAnMhLxxIiEtDCWh4VpjvQ5aTIrdLMo7qNGAGeYrJpNcBo5/PPd899nPnn32rHPm7LOOOWc/3w980Tl77R/rOWt/z9rr124SQgghXtBICSHEExopIYR4QiMlhBBPaKSEEOIJ... | A rectangular steel plate with a length of 20.56 cm is shown in the diagram. The shaded portion obtained after cutting can be used to make a cylinder. What is the volume of this cylinder in cm³? (Use π = 3.14) | A. 50.24; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | A |
84 | iVBORw0KGgoAAAANSUhEUgAAAU0AAADgCAYAAACHBTRAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABX1SURBVHhe7d1vaFTXn8fxPCiMDxpwwYFCDStESKEKCiKBFH4GxFpWlsiKtItSQSkl6JIfKKkYsIu6smTBulnIg1n0gZbKujQPAroaiOTXra24ayoqYisGNGCtRIllCUwffHc+d+4dR51objJz77n3vl/l0uTkn5k588m953zvOU0GAJgzQhMAQiA0ASAEQhMAQiA0ASAEQhMA... | The area of triangle ABC is 12 cm². What is the length of BC in cm? | A. 4; B. 5; C. 6; D. 3; E. No correct answer | C |
85 | iVBORw0KGgoAAAANSUhEUgAAAUwAAADgCAYAAABox19+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhESURBVHhe7d1vaBR5nsfxPFjofbABH0zDggYGMkcW3HAODBLIwkxgiMoNR2SXudlBMaALbnCOLOg5ohCX0Qt3eaDZWS4P+lBuzTDeDJiFgJ4KCZlddYOHf3A8yY5MQDM4jsQhsyyB3gffq091VafUTlJJuquqq96vodD8upOM3b/6dFX9vvX7NRgAIBQCEwBCIjABICQCEwBC... | As shown in the figure, what is the area of the circle with diameter BC in cm²? (Use π = 3.14) ( ) | A. 28.26; B. 25.12; C. 12.56; D. 6.28; E. No correct answer | A |
86 | iVBORw0KGgoAAAANSUhEUgAAAUwAAADgCAYAAABox19+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhESURBVHhe7d1vaBR5nsfxPFjofbABH0zDggYGMkcW3HAODBLIwkxgiMoNR2SXudlBMaALbnCOLOg5ohCX0Qt3eaDZWS4P+lBuzTDeDJiFgJ4KCZlddYOHf3A8yY5MQDM4jsQhsyyB3gffq091VafUTlJJuquqq96vodD8upOM3b/6dFX9vvX7NRgAIBQCEwBCIjABICQCEwBC... | As shown in the figure, triangle ABC is the front view of a cone. The base area of the cone is 28.26 cm². What is the volume of the cone ( ) cm³? | A. 50.24; B. 37.68; C. 125.6; D. 62.8; E. No correct answer | B |
87 | iVBORw0KGgoAAAANSUhEUgAAAU0AAADgCAYAAACHBTRAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABX1SURBVHhe7d1vaFTXn8fxPCiMDxpwwYFCDStESKEKCiKBFH4GxFpWlsiKtItSQSkl6JIfKKkYsIu6smTBulnIg1n0gZbKujQPAroaiOTXra24ayoqYisGNGCtRIllCUwffHc+d+4dR51objJz77n3vl/l0uTkn5k588m953zvOU0GAJgzQhMAQiA0ASAEQhMAQiA0ASAEQhMA... | As shown in the figure, triangle ABC is the front view of a cone. The area of triangle ABC is 12 cm². What is the volume of the cone with triangle ABC as its front view? ( ) cm³?(π = 3.14) | A. 50.24; B. 37.68; C. 125.6; D. 62.8; E. No correct answer | B |
88 | iVBORw0KGgoAAAANSUhEUgAAAp4AAAEbCAYAAABz44RlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAABuiSURBVHhe7d29jhvX3Qdgly7tbssAblS6cKFSndQpnZBK7hQXgdTJcJMAqVypNZDCpdOpUq3CF2DnAgzfgAFfAt/3x+w4w6Mz5PDrcHj4PMCBlrtcikv+MfPj+ZqPVgAA0IDgCQBAE4InAABNCJ4AADQheAIA0ITgCQBAE4InAABNCJ4AADQheAIA0ITgCQBAE4InAABNCJ4A... | As shown in the figure, two identical largest circles are cut out from a rectangular piece of paper. The circumference of each circle is 12.56 cm. What is the radius of each circle in cm? (Use π = 3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
89 | iVBORw0KGgoAAAANSUhEUgAAAeQAAADxCAYAAAAawsRlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAB7OSURBVHhe7Z2/rtRWF0ejSJ+EaBK6W1AkoghVlIKCMh3pSBVK0iGKiChFQDRJS5q0dCkpU6GUKXiA8AIoL4CUR5hPv8vdcGbfczz2jO2zj89a0hbMXM+Mx96zl88f2x/tAAAAoDoIGQAAIAAIGQAAIAAIGQAAIAAIGQAAIAAIGQAAIAAIGQAAIAAIGQAAIAAIGQAAIAAIGQAA... | As shown in the figure, two identical largest circles can be cut out from a rectangular piece of paper. What are the side lengths of the rectangle, AB = ( ) cm, AD = ( ) cm? | A. 2, 4; B. 8, 4; C. 4, 4; D. 4, 8; E. No correct answer | D |
90 | iVBORw0KGgoAAAANSUhEUgAAAl4AAAESCAYAAAAsU9sMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACWYSURBVHhe7d2xrhTJFcbxlSVLq01sMoINbBGYaOWAgHAznOHIhGyGCCyQA4NI7BQnm5I5JCRCDjfgAcwLoH0BJD/CWN/de+DMoaqne6b7VHX3/yeV4N7bM3fuzJmub6qrq786AAAAIAXBCwAAIAnBCwAAIAnBCwAAIAnBCwAAIAnBCwAAIAnBCwAAIAnBCwAAIAnBCwAAIAnB... | As shown in the figure, two identical largest circles can be cut out from the rectangular paper. What is the perimeter of the rectangle ABCD? (Use π = 3.14) ( ) cm | A. 48; B. 40; C. 32; D. 24; E. No correct answer | D |
91 | iVBORw0KGgoAAAANSUhEUgAAAp4AAAEbCAYAAABz44RlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAABuiSURBVHhe7d29jhvX3Qdgly7tbssAblS6cKFSndQpnZBK7hQXgdTJcJMAqVypNZDCpdOpUq3CF2DnAgzfgAFfAt/3x+w4w6Mz5PDrcHj4PMCBlrtcikv+MfPj+ZqPVgAA0IDgCQBAE4InAABNCJ4AADQheAIA0ITgCQBAE4InAABNCJ4AADQheAIA0ITgCQBAE4InAABNCJ4A... | As shown in the figure, two identical largest circles are cut out from a rectangular piece of paper. The circumference of one of the circles is 12.56 cm. What is the perimeter of the rectangle? (Use π = 3.14) ( ) cm² | A. 48; B. 40; C. 32; D. 24; E. No correct answer | D |
92 | iVBORw0KGgoAAAANSUhEUgAAA0AAAAIICAYAAABHH473AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAGx9SURBVHhe7d0H2BxVof9xQygBJEAgFCNgwAjeAKGEagQhIMRQpCNEUVqkExAwIZeLFCFggQgkIE2RBKUIFwIX/aNopClo8AIiTcqlSFMEREOZ//Ob95zknLOzuzOz5d3d8/08z3nyZqfs7O7M7PntmXPmQwkAAAAARIIABAAAACAaBCAAAAAA0SAAAQAAAIgGAQgAAABANAhA... | As shown in the figure, the area of square ABCD is () cm². | A. 16; B. 8; C. 6; D. 4; E. No correct answer | A |
93 | iVBORw0KGgoAAAANSUhEUgAAArkAAAHhCAYAAABqa6azAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEeUSURBVHhe7d1viFTXnu7xHiZnymHsOb6wGSHKCAoK0aEzI9JzFaIgOR1oLi0jdzzBEMHm4hFz6RkSNESuXkzwRb8w4ouGWxBhNLSMXL3Ql/QxguLJmXSCQ1SMNGpIQ/RgjBhRXzR0Xqxbz3av6l3bqur6s3fV2qu+H1iJvau6qru6+6lfrfrttboMAAAA4BmKXAAAAHiHIhcA... | As shown in the figure, the area of square ABCD is 16 cm². A circle with a radius of 2 cm is drawn inside the square. What is the area of the shaded portion in the lower right corner? (Use π = 3.14) | A. 0.86; B. 5.44; C. 12.56; D. Cannot be determined; E. No correct answer | A |
94 | iVBORw0KGgoAAAANSUhEUgAAA0AAAAIICAYAAABHH473AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAGx9SURBVHhe7d0H2BxVof9xQygBJEAgFCNgwAjeAKGEagQhIMRQpCNEUVqkExAwIZeLFCFggQgkIE2RBKUIFwIX/aNopClo8AIiTcqlSFMEREOZ//Ob95zknLOzuzOz5d3d8/08z3nyZqfs7O7M7PntmXPmQwkAAAAARIIABAAAACAaBCAAAAAA0SAAAQAAAIgGAQgAAABANAhA... | As shown in the figure, the area of square ABCD is 16 cm². A circle with a radius of 2 cm is drawn inside the square. The area of the shaded region S1 in the figure is 0.86 cm². Then, using point A as the center and AB as the radius, a sector ABD is drawn, forming another irregular shaded region S2. What is the area of... | A. 50.24; B. 3.44; C. 12.56; D. 2.58; E. No correct answer | D |
95 | iVBORw0KGgoAAAANSUhEUgAAA0AAAAIICAYAAABHH473AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAGx9SURBVHhe7d0H2BxVof9xQygBJEAgFCNgwAjeAKGEagQhIMRQpCNEUVqkExAwIZeLFCFggQgkIE2RBKUIFwIX/aNopClo8AIiTcqlSFMEREOZ//Ob95zknLOzuzOz5d3d8/08z3nyZqfs7O7M7PntmXPmQwkAAAAARIIABAAAACAaBCAAAAAA0SAAAQAAAIgGAQgAAABANAhA... | As shown in the figure, quadrilateral ABCD is a square. Inside the square, a circle with a radius of 2 cm is drawn, forming the shaded area S1. Then, using point A as the center and AB as the radius, a sector ABD is drawn, forming an irregular shaded area S2. The area of the shaded part S2 is () cm².(Use π = 3.14) | A. 50.24; B. 3.44; C. 12.56; D. 2.58; E. No correct answer | D |
96 | iVBORw0KGgoAAAANSUhEUgAABFMAAAHXCAYAAABwPRX4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEhKSURBVHhe7d0FtBxVujbgS3B3d5fBAsElQIIzOAQY3IMNBA/u7hbc3d3dB4IHC8F1cBkc9n+/c6vmP+mqhHRypOV51nrXMKldp/t07dq76jvVVf+TAAAAABhmiikAAAAAVVBMAQAAAKiCYgoAAABAFRRTAAAAAKqgmAIAAABQBcUUAAAAgCoopgAAAABUQTEFAAAAoAqKKQAA... | Placing a triangular ruler in the position shown in the figure, the two edges of the triangular ruler exactly coincide with the two edges of ∠A. What is the measure of ∠A? ( )° | A. 45; B. 60; C. 30; D. 90; E. No correct answer | C |
97 | iVBORw0KGgoAAAANSUhEUgAABIcAAAHJCAYAAAAfG1kgAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEuKSURBVHhe7d0FmOXk2T/gD3d3dy22sLizi1Pc3R2Ky+JatLi7tzjF3bW4w+JairRQSvH3/3/mS/jOnGR9zsw5J/d9Xb+rdPPmTOYkeZM8k7z5nwQAAABAZSkOAQAAAFSY4hAAAABAhSkOAQAAAFSY4hAAAABAhSkOAQAAAFSY4hAAAABAhSkOAQAAAFSY4hAAAABAhSkOAQAA... | As shown in the figure, triangle ABC is an isosceles triangle. A triangular ruler is placed at ∠A, and the two edges of the triangular ruler coincide exactly with the two sides of ∠A. What is ∠C equal to? ( )° | A. 45; B. 60; C. 30; D. 90; E. No correct answer | C |
98 | iVBORw0KGgoAAAANSUhEUgAABJYAAAGYCAYAAAAQpWikAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEvRSURBVHhe7d0FuBzV+QfgP+7u7losEFwCJEChFPfiDgWKS3B3hxKkWLHi7q6lxSG4FiiluBSH83++25l0787k5mZzZeV9n+f3lGbO7M7dnTln5tuR/0sAAAAAUAOFJQAAAABqorAEAAAAQE0UlgAAAACoicISAAAAADVRWAIAAACgJgpLAAAAANREYQkAAACAmigsAQAAAFAT... | As shown in the figure, triangle ABC is an isosceles triangle, ∠B = ( )° | A. 30; B. 60; C. 120; D. 150; E. No correct answer | C |
99 | iVBORw0KGgoAAAANSUhEUgAABFMAAAHXCAYAAABwPRX4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEhKSURBVHhe7d0FtBxVujbgS3B3d5fBAsElQIIzOAQY3IMNBA/u7hbc3d3dB4IHC8F1cBkc9n+/c6vmP+mqhHRypOV51nrXMKldp/t07dq76jvVVf+TAAAAABhmiikAAAAAVVBMAQAAAKiCYgoAAABAFRRTAAAAAKqgmAIAAABQBcUUAAAAgCoopgAAAABUQTEFAAAAoAqKKQAA... | As shown in the figure, triangle ABC is an isosceles triangle, and the two sides of the triangular ruler coincide exactly with the two sides of ∠A. What is the measure of ∠B? ( )° | A. 30; B. 60; C. 120; D. 150; E. No correct answer | C |
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