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 |
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