index int64 0 1.74k | image stringlengths 1.02k 414k | question stringlengths 31 488 | option stringlengths 38 473 | answer stringclasses 5
values |
|---|---|---|---|---|
200 | iVBORw0KGgoAAAANSUhEUgAAAP8AAADpCAYAAADrh+FMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABB0SURBVHhe7dxPaBtpmsdx3+ok9qST0UkHHwYfcgkBszS6uDHk4L5k6IBJg5nDBLLoEprgiwccBtZ7iBmYwNaQZRmH1mFIL3hJunNQSEOchCwhhjXBjUmWjINjgwPxHAR1ebZe1SvHduqV5eItuep9vx94UVyq91X9eX5SqaqUEQHgJcIPeIrwA54i/ICnCD/gKcIPeIrwA54i... | As shown in the figure, use a ruler to measure the length of the rectangle's side. What is the length of BC in cm? | A. 3; B. 4; C. 5; D. No correct answer | A |
201 | iVBORw0KGgoAAAANSUhEUgAAAP8AAADoCAYAAAAg2zLpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyFSURBVHhe7d1NSBxpGsDxvvWpmVOfpE996EPwkIsIsgxeMgg5KAsZHGgyICxsw4BzcIM4BwcigXEPysDm0EsWFkUZBufgkqweDA47Gslu0IMrBkmDa3AUDCgsQl2era/WbtN21+tmxtf3+f+GgqQse6Dr/VdV10cnJQBUIn5AKeIHlCJ+QCniB5QifkAp4geUIn5AKeIHlCJ+... | As shown in the figure, the area of rectangle ABCD is 6 cm². What is the length of CD? | A. 2; B. 3; C. 4; D. 5; E. No correct answer | A |
202 | iVBORw0KGgoAAAANSUhEUgAAAP4AAADqCAYAAACC0fjcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA+FSURBVHhe7d1PSJxpgsfxutWpmFOdQp3qUIfgIRcRiqXxkiDkoCzYRFbSjDDsCIGagxskw2IPkcC4h0hgXHiXLCxKpLsxB3fTrQfFJm2UzKR1aNdVJIJrMAYMVMEivJffvv9Kq7Ssqtcx8fV9vp/wQnx9Vaj3+db7XxMCYBzCBwxE+ICBCB8wEOEDBiJ8wECEDxiI8AEDET5g... | As shown in the figure, point B can be represented by the coordinates (2, 2). What are the coordinates of point D? | A. (4, 5); B. (5, 4); C. (2, 2); D. No correct answer | B |
203 | iVBORw0KGgoAAAANSUhEUgAAAP8AAADpCAYAAADrh+FMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABB0SURBVHhe7dxPaBtpmsdx3+ok9qST0UkHHwYfcgkBszS6uDHk4L5k6IBJg5nDBLLoEprgiwccBtZ7iBmYwNaQZRmH1mFIL3hJunNQSEOchCwhhjXBjUmWjINjgwPxHAR1ebZe1SvHduqV5eItuep9vx94UVyq91X9eX5SqaqUEQHgJcIPeIrwA54i/ICnCD/gKcIPeIrwA54i... | As shown in the figure, point B can be represented by the coordinates (2, 2), and the area of the rectangle is 6 cm². What are the coordinates of point D? | A. (5, 4); B. (5, 3); C. (4, 5); D. No correct answer | A |
204 | iVBORw0KGgoAAAANSUhEUgAAAlgAAAEhCAYAAACjo95IAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC/nSURBVHhe7d0HnBxl/cdx/dt7713svffee8feuyJVQSMqVUGlSO+gggUEEQuIBRBpISAlEBJaQEpyd7ncpfc8//nOb5/7PTfM3t3GmeNu5vN++RhyO9ncbnZnPzPzzNwdAgAAACpFYAEAAFSMwAIAAKgYgQUAAFAxAgsAAKBiBBYAAEDFCCwAAICKEVgAAAAVI7AAAAAqRmAB... | Lisa arranges several 1 cm edge-length cubic blocks into a rectangular cuboid. As shown in the figure, the images are views from the front and the top of the rectangular cuboid. What are the length, width, and height of this rectangular cuboid respectively in cm? | A. 4, 5, 6; B. 5, 4, 3; C. 4, 3, 2; D. No correct answer | C |
205 | iVBORw0KGgoAAAANSUhEUgAAAlcAAAEgCAYAAACZ9FZgAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABS2SURBVHhe7d1BaJz3ncdhQQM6tIIeqpMrKIjFhcWHQAmi7tL4EjclLS6FLBiMC+4uVJCiPRhRUqih9pbiS0IOOsziHtbZGlrsgpY2EqyMQvDatJvUYBNkjHcxLrUISpF7EMyhv51X88qWNJLj2H/Z+r3zPPAFz3/GSmMc9Omr0auBAACgGHEFAFCQuAIAKEhcAQAUJK4AAAoS... | As shown in the figure, Lisa uses several 1 cm edge length cubic wooden blocks to form the following rectangular cuboid. What is its volume in cm³? | A. 10; B. 18; C. 24; D. No correct answer | C |
206 | iVBORw0KGgoAAAANSUhEUgAAAlkAAAEhCAYAAABMYbV2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABHxSURBVHhe7d1faJzlgsfxgMJc5UoCQhso9CKCFiwsReiFhEJLZV3SG0WhnIWyF1voEoReFC8sS6sXXdBelSWQhT0Vi+zWhUI9FrbFw1pP93h6FJRSV8yiPdYKKbR7UZgLn5138iad5J1JJsk8M/M8+Xzkd2Ey+dvAfHnnnXdGAgAAPSeyAAAiEFkAABGILACACEQWAEAEIgsA... | What is the volume of the rectangular cuboid shown in the diagram, in cubic decimeters (dm³)? | A. 0.024; B. 0.012; C. 0.02; D. 0.027; E. No correct answer | A |
207 | iVBORw0KGgoAAAANSUhEUgAAAlgAAAEhCAYAAACjo95IAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC/nSURBVHhe7d0HnBxl/cdx/dt7713svffee8feuyJVQSMqVUGlSO+gggUEEQuIBRBpISAlEBJaQEpyd7ncpfc8//nOb5/7PTfM3t3GmeNu5vN++RhyO9ncbnZnPzPzzNwdAgAAACpFYAEAAFSMwAIAAKgYgQUAAFAxAgsAAKBiBBYAAEDFCCwAAICKEVgAAAAVI7AAAAAqRmAB... | Lisa used several 1 cm³ cubic wooden blocks to form a rectangular cuboid. As shown in the figure, the images are views from the front and the top of the rectangular cuboid. What is the volume of this rectangular cuboid in cubic decimeters (dm³)? | A. 0.024; B. 0.012; C. 0.02; D. 0.027; E. No correct answer | A |
208 | iVBORw0KGgoAAAANSUhEUgAAAoYAAAD+CAYAAACnZMT8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEkASURBVHhe7Z0HmBRVuoa5rt5x18XVxTEhJtyLiKiYFV0XA4IZA4ZdREVlQZAxIGZAxVUxgKCoYySJ6xIURTCMgEhYlCQsogioIIIRdC86Xvdc3jN1mpqxJ9RMV3dX1fc+z3nE7p6enuoKb/3n//9TzwghhBBCCLERiaEQQgghhLBIDIUQQgghhEViKIQQQgghLBJDIYQQQghh... | As shown in the figure, a cylindrical piece of wood is cut vertically along the diameter of its base into two parts. Compared to the original cylinder, the surface area increases by 60 dm². What is the area of the rectangle ABCD in the figure in dm²? | A. 30; B. 40; C. 50; D. 60; E. No correct answer | A |
209 | iVBORw0KGgoAAAANSUhEUgAAAogAAAD+CAYAAAC5rfRPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFTQSURBVHhe7Z0JmBTVvfa50XxjYibGxNEkOG5jLhokilHUoNegEUWNgmskwQ2jEbdxIYhGRQU3ooKoqKO4gZIYQcUNjIO4ghoWhSCIYhSDEDcwhtje3P83v9N1empmepae6Zrurnp/z3Mepbu6p7rqVJ23/msXE0IIIYQQIoQEohBCCCGEaIAEohBCCCGEaIAEohBCCCGEaIAE... | A cylindrical wooden log is cut vertically along the diameter of its base into two parts (as shown in the figure), resulting in two rectangular cut surfaces. What is the diameter of the base of this cylindrical wooden log in decimeters (dm)? | A. 6; B. 4; C. 5; D. 3; E. No correct answer | A |
210 | iVBORw0KGgoAAAANSUhEUgAAAogAAAD7CAYAAADpYGX8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAE2/SURBVHhe7Z0HmBRF3ocxfeud4pnQM2Di/BARFBXFQ8wYz4ABxXiIipk1ICIG5MCEqAgn6oIBJJhAQUEMKKgIeiBgQDwUMyd+KKIeyp3Wx1vbNfQss+z07vSE6t/7PPWwzPTMzvZUV/36H+sZIYQQQgghQkggCiGEEEKINCQQhRBCCCFEGhKIQgghhBAiDQlEIYQQQgiRhgSi... | A cylindrical wooden log is cut vertically along the diameter of its base into two parts (as shown in the figure), resulting in two rectangular cut surfaces. What was the original surface area of the cylindrical wooden log in square decimeters (dm²)? | A. 18π; B. 48π; C. 72π; D. 132π; E. No correct answer | B |
211 | iVBORw0KGgoAAAANSUhEUgAAAoYAAAD+CAYAAACnZMT8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEkASURBVHhe7Z0HmBRVuoa5rt5x18XVxTEhJtyLiKiYFV0XA4IZA4ZdREVlQZAxIGZAxVUxgKCoYySJ6xIURTCMgEhYlCQsogioIIIRdC86Xvdc3jN1mpqxJ9RMV3dX1fc+z3nE7p6enuoKb/3n//9TzwghhBBCCLERiaEQQgghhLBIDIUQQgghhEViKIQQQgghLBJDIYQQQghh... | A cylindrical wooden log with a height of 5 dm is cut vertically along the diameter of its base into two parts. Compared to the original cylinder, the surface area increases by 60 dm². What was the original surface area of the cylindrical log in dm²? | A. 18π; B. 48π; C. 72π; D. 132π; E. No correct answer | B |
212 | iVBORw0KGgoAAAANSUhEUgAAAN0AAAC3CAYAAACWq1smAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAa4SURBVHhe7do/aFtXGIZxbZo8agqaPHgwGbyYggfjJSXQIV4SCIgavKSGgjqkwXSoGxCFekjToRkEyeKACUUtBFKigkIzODWhIRlCcDBxMSmJBxXsxXCXt/fKV7Ziq+kSPn/y9/zgDDq6lgfp4Zz7pyAApogOMEZ0gDGiA4wRHWCM6ABjRAcYIzrAGNEBxogOMEZ0gDGiA4wR... | As shown in the figure, the area of the rectangle is 630 cm². What is the width of the rectangle in cm? | A. 21 cm; B. 30 cm; C. 25 cm; D. No correct answer | A |
213 | iVBORw0KGgoAAAANSUhEUgAAAN4AAACyCAYAAAAtUXGWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAncSURBVHhe7dpBSFt5AsdxbznlmFPJKQcPi4deiiDL4GWkIMW5OFAoDvS0gRm8SBjmsD3Y3YMXXWGFfUtOCkKX6YDs7MQFJTNuxzKzrQ66xSAWXGX0kIG4h8C7/Pb/kn/axGZsF2bz/5v/9wPvkL/vvWjil//7v2RAAHqO8AAHCA9wgPAABwgPcIDwAAcID3CA8AAHCA9wgPAA... | From the rectangle shown in the figure, a largest possible square is cut out. What is the side length of the square ( ) cm? | A. 16; B. 21; C. 32; D. No correct answer | B |
214 | iVBORw0KGgoAAAANSUhEUgAAANwAAAC1CAYAAAA0oZETAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAsfSURBVHhe7dpBaBvZGQdw3eako07GJx10CDn4IkJ1CNqDQ6AUm8IWG4xDQ5fW4EU9GGOytD7Ea1gfGveiUoGhRMEmhGRBbLwW1CYtsWsCabKsa7QIqxgvig02WFAEc/n3jTSKJfmtk4PyZT7P/wcD9tOM5vnT9+fNjBwBEYlh4IgEMXBEghg4IkEMHJEgBo5IEANHJIiBIxLE... | From the rectangle shown in the figure, a largest possible square is cut out. What is the area of the square in cm²? | A. 410; B. 198; C. 441; D. No correct answer | C |
215 | iVBORw0KGgoAAAANSUhEUgAAAN0AAAC3CAYAAACWq1smAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAa4SURBVHhe7do/aFtXGIZxbZo8agqaPHgwGbyYggfjJSXQIV4SCIgavKSGgjqkwXSoGxCFekjToRkEyeKACUUtBFKigkIzODWhIRlCcDBxMSmJBxXsxXCXt/fKV7Ziq+kSPn/y9/zgDDq6lgfp4Zz7pyAApogOMEZ0gDGiA4wRHWCM6ABjRAcYIzrAGNEBxogOMEZ0gDGiA4wR... | As shown in the figure, the area of the rectangular piece of paper is 630 cm². If the largest possible square is cut from this piece of paper, what is the area of this square in square centimeters? | A. 30; B. 70; C. 441; D. 900; E. No correct answer | C |
216 | iVBORw0KGgoAAAANSUhEUgAAAXsAAACcCAYAAACeCAuFAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFBqSURBVHhe7d0JrH3X9AdwMRNijCAi0hiDIEo0JIaIOUhIkIioSIxRtKaqoaO22tJBzUNrHlpaQ9GipTWreZ5rplW05uH+fY6u99+OM+x97rnv9967+5vcvOneM+yz93d913etc96lFhUVFRUVOx6V7CsqKirWAJXsKyoqKtYAlewrKioq1gCV7CsqKirWAJXsKyoqKtYAlewr... | As shown in the figure, using a protractor to measure one of the angles of the triangular glass fragment, the measured angle is ()°? | A. 40; B. 50; C. 60; D. No correct answer | A |
217 | iVBORw0KGgoAAAANSUhEUgAAAXgAAACbCAYAAABoOoA+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAzcSURBVHhe7d07iFT9Gcdx7wpaWIg3LCwsLLZQsBDGQoLwClFQsFiCESFbGDSwxQYsBAsRBQsRixUWXgsJBiQRFSNkYSUIsbCQIC8SXBBiIUQSSSyEWJzs7+x5xv+end2ZM+cy5zzz/cBhd+6zOzO/8z//yzMrIgCASwQ8ADhFwAOAUwQ8ADhFwAOAUwQ8ADhFwAOAUwQ8ADhF... | As shown in the figure, a piece of triangular glass is missing. What is the missing angle of this triangle ( )°? | A. 105; B. 95; C. 120; D. No correct answer | A |
218 | iVBORw0KGgoAAAANSUhEUgAAAXgAAACdCAYAAAC+Y2MjAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA5TSURBVHhe7d1PiBxlGsfxAYOIJqgg4kFCDsE/EFmRHAIdiQdBwSAJqJsFYcOSQzZ46ENAxcC4xMVDDjHkMIc+5DAsBgLJIYchESaEgH8QNgGXHdRmA1FxF9FgPATGw7v9q6635u3q7pnu6qrqqqe/H6g1M9Uz0e2qX7/11FvPO+cAACYR8ABgFAEPAEYR8ABgFAEPAEYR8ABg... | The three angles of a triangle are shown in the figure. What type of triangle is this? | A. Right-angled; B. Acute-angled; C. Obtuse-angled; D. No correct answer | C |
219 | iVBORw0KGgoAAAANSUhEUgAAAXkAAACbCAYAAACH+OsAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFHXSURBVHhe7d0JrEVXVT7wEjQIDmCqxhgjopioUcFoGCUogcSIGhBI1RD/BGrRSmKBgoQAMrUMMrXMVuZKkUKZh5ZJBhlkLDJKmcoMLVUok4r339+x67G7e4a9zzn3jftLbt579557hj1861vfXue8YzYNDQ0NDYcWjeQbGhoaDjEayTc0NDQcYjSSb2hoaDjEaCTf0NDQcIjR... | A piece of triangular glass, with fragments shown in the figure, originally was a () triangle. | A. Obtuse; B. Acute; C. Right; D. Cannot be determined; E. No correct answer | A |
220 | iVBORw0KGgoAAAANSUhEUgAAAPUAAAB0CAYAAABdXXQYAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABWrSURBVHhe7Z15kBVVlof51//aGGfR7p6YmTZ0RltnHGNaW3DDngiZdhc3LBYXFhHKAhUUkUVFdBAUaDdKmRZFXHBDFEEooYDCoqDYQfZNkFV2QVDP8N16JzmVvCpqeVVU5TtfxI2Xee/Nm/ky7y/P3bOJOI6TKFzUjpMwXNSOkzBc1I6TMFzUjpMwXNSOkzBc1I6TMFzUjpMw... | As shown in the figure, using a triangular ruler to measure the angle ∠A, what is the degree of ∠A? | A. 30°; B. 95°; C. 110°; D. No correct answer | A |
221 | iVBORw0KGgoAAAANSUhEUgAAAPcAAABzCAYAAABErZSdAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABKxSURBVHhe7Z1VrCRFG4b3jsAVhCtIuIUAAQIkuAVIcHeH4O7u7izuzgK7sLi7u7u7u7vUz1PnvIfv1M4Mu3vmzJm/5n2STndXV1f3VNVb9ZV0zahkjKkSi9uYSrG4jakUi9uYSrG4jakUi9uYSrG4jakUi9uYSrG4jakUi9uYSrG4jakUi9uYSrG4jakUi9uYSrG4jakUi9uY... | A piece of triangular glass (as shown in the figure) has a missing angle of ()°. | A. 105; B. 95; C. 110; D. No correct answer | C |
222 | iVBORw0KGgoAAAANSUhEUgAAAPcAAABzCAYAAABErZSdAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAsXSURBVHhe7Z1daFRJGoYDBiJiboR4MwQFxVysgkIMAxGNEmZcEIx3IuoGvFCCgy0ax3UUV/wFERcRF7fxB4koCCqubEiExAiuipJkcSVEg8Fxoq46K1Ew0iLf9nu66nSdnyTdnb/u6veBwsmpkx5SfZ5TX32nTlWBEEKshHITYimUmxBLodyEWArlJsRSKDchlkK5CbEUyk2I... | The three angles of a triangle are shown in the figure. What type of triangle is this? | A. Right-angled; B. Acute-angled; C. Obtuse-angled; D. No correct answer | C |
223 | iVBORw0KGgoAAAANSUhEUgAAAPUAAAB0CAYAAABdXXQYAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABWrSURBVHhe7Z15kBVVlof51//aGGfR7p6YmTZ0RltnHGNaW3DDngiZdhc3LBYXFhHKAhUUkUVFdBAUaDdKmRZFXHBDFEEooYDCoqDYQfZNkFV2QVDP8N16JzmVvCpqeVVU5TtfxI2Xee/Nm/ky7y/P3bOJOI6TKFzUjpMwXNSOkzBc1I6TMFzUjpMwXNSOkzBc1I6TMFzUjpMw... | A piece of triangular glass, with fragments shown in the figure, originally was a () triangle. | A. Acute; B. Right; C. Obtuse; D. No correct answer | C |
224 | iVBORw0KGgoAAAANSUhEUgAAAgcAAAC/CAYAAABqp38KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAH2oSURBVHhe7d0H2DTVeR5+2ZJzueRKsWQ7iZW/HUei14+O6IgqehFVqFMEAlGFQALRexO9N4EAUUQXHUTvoF4cFSdWcSzLTW6JM//9neV5v3lHs7uzb/nqc1/XuXZ3dsqZMzPnvp9yzrypSiQSiUQikaghxUEikUgkEolJSHGQSCQSiURiElIcJBKJRCKRmIQUB4lEIpFIJCYh... | As shown in the figure, use a protractor to measure one of the angles of the triangular glass shard. The measured angle is ()°? | A. 40; B. 50; C. 60; D. No correct answer | A |
225 | iVBORw0KGgoAAAANSUhEUgAAAgkAAADACAYAAACOGvCtAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADrYSURBVHhe7Z0HmBVVtoXHMI5hZszOcxzH5zygydBNzjkpOUgWSRJFchYEAcmCgRwkR8kZBImSk6CoMyo6EnQURREFnf1q7dv7crqoJnXuXv/3ra/qVrp1wzln1T7pd0IIIYQQEgBNAiGEEEICoUkghBBCSCA0CYQQQggJhCaBEEIIIYHQJBBCCCEkEJoEQgghhARCk0AIIYSQ... | As shown in the figure, a piece of triangular glass is missing. What is the measure of the missing angle in this triangle ( )°? | A. 105; B. 90; C. 110; D. No correct answer | B |
226 | iVBORw0KGgoAAAANSUhEUgAAAgsAAADBCAYAAABBs/M1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACPdSURBVHhe7Z1fcBRlvvenandnNbvUkoJjtIwVFAp0iRUkFAY3FimJe4hygHKjFV6zhGVBI/oixlhQAQ5KssYjFYPEQ1KAgSKKYjaGQ/jnGwhupWY5FBdecOGFF1x4sRdceLEXXOzF753fM/10epKeMElmkp6Zz6fqW2J3TyeZ6X76M93P83tCAgAAADAOyAIAAACMC7IAAAAA... | The three angles of a triangle are shown in the figure. What type of triangle is this? | A. Right-angled; B. Acute-angled; C. Obtuse-angled; D. No correct answer | A |
227 | iVBORw0KGgoAAAANSUhEUgAAAgcAAAC/CAYAAABqp38KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAH2oSURBVHhe7d0H2DTVeR5+2ZJzueRKsWQ7iZW/HUei14+O6IgqehFVqFMEAlGFQALRexO9N4EAUUQXHUTvoF4cFSdWcSzLTW6JM//9neV5v3lHs7uzb/nqc1/XuXZ3dsqZMzPnvp9yzrypSiQSiUQikaghxUEikUgkEolJSHGQSCQSiURiElIcJBKJRCKRmIQUB4lEIpFIJCYh... | As shown in the figure, a piece of triangular glass has shattered, leaving behind fragments. What was its original shape? | A. Acute triangle; B. Right triangle; C. Obtuse triangle; D. No correct answer | B |
228 | iVBORw0KGgoAAAANSUhEUgAAAf0AAADFCAYAAABekiv8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFnTSURBVHhe7Z0NmJxVdce3n2M/Utvi2g/caru10WKwqEBoRBqLCRSKiQJCaowQrJKCXSgRUrQuGBRMVQJKxBUUSCCAIm0KkVQTIpKQopgoEYOYWEiERENN/NgyVW739878d8/eve/szu7MZmbn/J7nPjPzzvve9+vee84999xz20KT8rWvfS0ce+yx4XnPe174yEc+Enp7e8v/... | As shown in the figure, using a ruler to measure the side lengths of triangle ABC, what type of triangle is triangle ABC? | A. Isosceles; B. Right-angled; C. Equilateral; D. No correct answer | A |
229 | iVBORw0KGgoAAAANSUhEUgAAAdYAAAC3CAYAAACvxX8RAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADh6SURBVHhe7Z0HmF1F+Yfj37JSIrYAihE0ArYIEQxIRAwiggWJ9GYQJEhAQSEqRUQQBJESQBFDESGAICAGgURFQQihg4IKohSDgBqlKOpa5p/37P1tvp09u3uTPXd3772/93nmOX3OnDnzzTflm5lRyRhjjDGVYcVqjDHGVIgVqzHGGFMhVqzGGGNMhVixGmOMMRVixWqMMcZU... | As shown in the figure, triangle ABC is an isosceles triangle. What is the measure of ∠B in degrees? | A. 25; B. 35; C. 10; D. No correct answer | A |
230 | iVBORw0KGgoAAAANSUhEUgAAAfwAAADDCAYAAABnCaPfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEWTSURBVHhe7Z0LmF5FecfTm1vbprTFtbWYShttsGmgUUFoVBptk1KtEpUISEyUajUFGyiBpvESaFBwqxBB0a6gSMCAFtAIGNRAKAZSKCY2wSYiKCRKwKCJ1ujWMt3f2e+/+36z59v7br7d8/89zzznPmfOnHnnnes7k5IxxhhjJjxW+MYYY0wFsMI3xhhjKoAVvjHGGFMBrPCN... | As shown in the figure, triangle ABC is an isosceles triangle, ∠B = 25°, then the angle of ∠1 is ( ) | A. 95°; B. 145°; C. 120°; D. No correct answer | C |
231 | iVBORw0KGgoAAAANSUhEUgAAAf0AAADFCAYAAABekiv8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFnTSURBVHhe7Z0NmJxVdce3n2M/Utvi2g/caru10WKwqEBoRBqLCRSKiQJCaowQrJKCXSgRUrQuGBRMVQJKxBUUSCCAIm0KkVQTIpKQopgoEYOYWEiERENN/NgyVW739878d8/eve/szu7MZmbn/J7nPjPzzvve9+vee84999xz20KT8rWvfS0ce+yx4XnPe174yEc+Enp7e8v/... | As shown in the figure, using a ruler to measure the side length AB of triangle ABC, from the information in the figure, it can be calculated that ∠1 is ( ). | A. 95°; B. 145°; C. 120°; D. No correct answer | C |
232 | iVBORw0KGgoAAAANSUhEUgAAAPEAAADDCAYAAABTefevAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD34SURBVHhe7d0NsCVVeS7gUVOMMRlNYgZDEFEBRyBDgolEi1SuXhKRYBQ0ZQVuqJu6oKWpUM5N6ZUURiGawgQtnSiOgBJRFPDfICgYQUURhAAaEVEERYyCwQT8IQ7quvOsOd/QNN29u/fZZ+bsPuut2nXO2bt/117v977ft9bqsyoVFBTMNQqJCwrmHIXEBQVzjkLigoI5RyFx... | As shown in the figure, the protractor measures the degree of ∠B as ()°? | A. 42; B. 50; C. 60; D. No correct answer | A |
233 | iVBORw0KGgoAAAANSUhEUgAAAO4AAADBCAYAAADIFIzBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABCKSURBVHhe7d0LkE5lGAdwbNIF7VKimrARTWVMS0KN6SqxkWZqJNZdalxKhVGpHc3kUhGtQsqktLI23aSLLsva7CokbSopl13KhiXXPPk/+5717bc3e/n2O+85/9/MGb73fEx1+u85533eSzUhIuswuEQWYnCJLMTgElmIwSWyEINLZCEGl8hCDC6RhRhcIgsxuEQWYnCJLMTg... | As shown in the figure, in the right triangle ABC, ∠A = ( )° | A. 42; B. 90; C. 48; D. No correct answer | B |
234 | iVBORw0KGgoAAAANSUhEUgAAAO4AAADECAYAAACY2R1yAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABN3SURBVHhe7Z0JcE3XH8eD+qeLqKVRullC6bQMRS1px+imilKdYVCC2KKDtKphtKVGZ0q0pZRWNK0ptZSkmpamSzRFpJY2UWuqqC2hpRIUoX7/9z3v3HiJLLI8eefe72fmTvLOvcmQ+z7vnHt+5/c7fkIIMQ6KS4iBUFxCDITiEmIgFJcQA6G4hBgIxSXEQCguIQZCcQkxEIpL... | As shown in the figure, in the right triangle CAB, ∠A = 90°, then ∠C = ( )° | A. 48°; B. 58°; C. 45°; D. 68°; E. No correct answer | A |
235 | iVBORw0KGgoAAAANSUhEUgAAAPEAAADDCAYAAABTefevAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD34SURBVHhe7d0NsCVVeS7gUVOMMRlNYgZDEFEBRyBDgolEi1SuXhKRYBQ0ZQVuqJu6oKWpUM5N6ZUURiGawgQtnSiOgBJRFPDfICgYQUURhAAaEVEERYyCwQT8IQ7quvOsOd/QNN29u/fZZ+bsPuut2nXO2bt/117v977ft9bqsyoVFBTMNQqJCwrmHIXEBQVzjkLigoI5RyFx... | As shown in the figure, in the right triangle CAB, ∠C = ( )°. | A. 48; B. 58; C. 45; D. 68; E. No correct answer | A |
236 | iVBORw0KGgoAAAANSUhEUgAAASQAAACyCAYAAADrsbIGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFOySURBVHhe7d0J1HVVXT9wstTSZtMyKzNLW6XVajJ6NUssUrQySk1zWEuotFQWpliE/Z2zhMAAJcCcULTBEgS0xLQktTKHFC0SFRQx51kqz5/PeZ/fZb/7PcM+59773OE533eddZ/3DmfYZ/+++/sb9j6HVFuED37wg9Vf/MVfVM973vOqD33oQ9U//dM/Va94xSuqK664onrX... | As shown in the figure, what is the degree measure of the angle measured with the protractor? ( )°? | A. 110; B. 100; C. 90; D. No correct answer | A |
237 | iVBORw0KGgoAAAANSUhEUgAAASUAAAC1CAYAAAAZdumAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABYfSURBVHhe7Z1PiFxVFsZjNP5DoogSRRcKIqLCCIo0REFQHEGRKJJxQBidCSjBRS8yKEQwgzNm4cIZXATpARe9iCCMiywcDbRKwCjiKCOMODYIOuKAiIwuAu3iTf9e1ancev1e1XuvXr26f74fXLq7qrqSrrr1vXPP/c652zIhhPAIiZIQwiskSkIIr5AoCSG8QqIkhPAKiZIQ... | As shown in the figure, ∠2 = ()° | A. 52; B. 70; C. 72; D. 38; E. No correct answer | B |
238 | iVBORw0KGgoAAAANSUhEUgAAASUAAACwCAYAAABJu3gzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaJSURBVHhe7Z1vqFxFmsY1UVAUFFHwg6AQBUFhFESEqOOSYLIYUEFWZ1EmuH4w4sIVHMZhAw64Sz4IGhGJcHH9EFYFcfwgjMwIia4wziDEAZkV17DCuIs7IzOy+kG4fqi9v3PO27f69Onb5293narnB8XN7e7b6T91nqp663nfOsMJIURASJSEEEEhURJCBIVESQgRFBIlIURQ... | As shown in the figure, it is known that ∠2 = 70°. Then ∠1 = ( )° | A. 52; B. 70; C. 72; D. 38; E. No correct answer | C |
239 | iVBORw0KGgoAAAANSUhEUgAAASQAAACyCAYAAADrsbIGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFOySURBVHhe7d0J1HVVXT9wstTSZtMyKzNLW6XVajJ6NUssUrQySk1zWEuotFQWpliE/Z2zhMAAJcCcULTBEgS0xLQktTKHFC0SFRQx51kqz5/PeZ/fZb/7PcM+59773OE533eddZ/3DmfYZ/+++/sb9j6HVFuED37wg9Vf/MVfVM973vOqD33oQ9U//dM/Va94xSuqK664onrX... | As shown in the figure, use a protractor to measure the angle in the diagram and calculate ∠1 = ()°. | A. 52; B. 70; C. 72; D. 38; E. No correct answer | C |
240 | iVBORw0KGgoAAAANSUhEUgAAAWkAAADbCAYAAACvDmCEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEqISURBVHhe7d0PtGV1Xf//65IfQy1pkUIhKGqgaDCKiTgBLkAQNEYb+pqiQqXiSpFydM0kApbxR1QkQVTKSTSFxD/hH1IEDMM/KGWKCRqIYkSaGpioYdOf/ZvHZ87nsufM3mf/uefe2Wfm/Vxrr3vvuefsv2e/Pu/P6/3+fPZcEQRBEAyWEOkgCIIBEyIdBEEwYEKkgyAIBkyI... | As shown in the figure, what is the degree measure of ∠3 using the protractor? ( )°? | A. 40; B. 50; C. 60; D. No correct answer | B |
241 | iVBORw0KGgoAAAANSUhEUgAAAWoAAADYCAYAAADCrakpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhCSURBVHhe7d1/aFTnnsdx/yhESlOEmlJQQaqQgspqEQlYWANSWzZ/TEtpvUWprF7oihcCjVRRVsGKvWShin8E7rAKq6UuXfSPQF0VEryl5op7G13XdVPFgHGxNkTRsgSmf3x3PifnGU9+n5k55+TMnPcLnmtzZiZzMz8+88xznu/zzDMAQKoR1ACQcgQ1AKQcQQ0AKUdQA0DK... | As shown in the figure, in the triangle, ∠2 = ( ) | A. 95°; B. 85°; C. 105°; D. No correct answer | B |
242 | iVBORw0KGgoAAAANSUhEUgAAAWcAAADXCAYAAADGBZBMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABnrSURBVHhe7d1vaFzXncZxFQoytGbzwipdbFGDvHUhNrFBKUNccAwiTkAsMi0iG2Js4rB4hQt6Ya9iYoiLYvxCL5KsS7V0qE2xjQ0J8QvRKLaphdvFf3ATxWt7jWI1BjuhcYVSlFAE0xe/vc/VPeMraSTNn3tHd+79fuA28tWMVN2ZeebMOed3TpMBABKHcAaABCKcASCBCGcA... | Calculate the degree of angle ∠1 based on the degrees of the other angles shown below (). | A. 95°; B. 85°; C. 105°; D. No correct answer | A |
243 | iVBORw0KGgoAAAANSUhEUgAAAWkAAADbCAYAAACvDmCEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEqISURBVHhe7d0PtGV1Xf//65IfQy1pkUIhKGqgaDCKiTgBLkAQNEYb+pqiQqXiSpFydM0kApbxR1QkQVTKSTSFxD/hH1IEDMM/KGWKCRqIYkSaGpioYdOf/ZvHZ87nsufM3mf/uefe2Wfm/Vxrr3vvuefsv2e/Pu/P6/3+fPZcEQRBEAyWEOkgCIIBEyIdBEEwYEKkgyAIBkyI... | As shown in the figure, use a protractor to measure the angle in the diagram. Given that ∠4 = 45°, calculate ∠1 = ( ). | A. 95°; B. 85°; C. 105°; D. No correct answer | A |
244 | iVBORw0KGgoAAAANSUhEUgAAAVsAAADRCAYAAABikxHnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFKBSURBVHhe7d0JsGVVeS/wW5k6WiEvVuwYgx2tgJIKkGBJkfYRRaoMTxO1IM8BLYhaYooQ0NaEACrKQ4EwqOAQVAxOoDgAaitE1HZChDgriBiURDEKESM4JR3Nfv3bfb/r7t17WHufc0+fe+/6V5269557zh7W8P/+37DWXigyMjIyMpYdmWwzMjIyZoBMthkZGRkzQCbbjIyM... | As shown in the figure, what is the measure of ∠B using the protractor? ( )°? | A. 40; B. 50; C. 60; D. No correct answer | B |
245 | iVBORw0KGgoAAAANSUhEUgAAAVoAAADPCAYAAAC0jRkyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABpDSURBVHhe7d1vaFTnngfw9O+UYtiCHSitASG9pKValIpNV9sakF6FsESQ1hal0nhBgl5yQVGxoItk8yIvrPgi0Fla2Noqt3fNQsCskY3YXmIltK5rXbEVhdWLWjdboi8C0xe/ne/J8xtP4mRyZuY8c55zzvcDB5OTP2ZOMt95zvP8nudpECIisopBS0RkGYOWiMgyBi0RkWUM... | As shown in the figure, in △ABC, what is ∠A + ∠C? | A. 150°; B. 140°; C. 130°; D. No correct answer | C |
246 | iVBORw0KGgoAAAANSUhEUgAAAVoAAADPCAYAAAC0jRkyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABpDSURBVHhe7d1vaFTnngfw9O+UYtiCHSitASG9pKValIpNV9sakF6FsESQ1hal0nhBgl5yQVGxoItk8yIvrPgi0Fla2Noqt3fNQsCskY3YXmIltK5rXbEVhdWLWjdboi8C0xe/ne/J8xtP4mRyZuY8c55zzvcDB5OTP2ZOMt95zvP8nudpECIisopBS0RkGYOWiMgyBi0RkWUM... | As shown in the figure, in △ABC, ∠A + ∠C = 130°. If ∠B is cut along the dashed line in the figure, then ∠1 + ∠2 equals ( ) | A. 130°; B. 230°; C. 270°; D. 310°; E. No correct answer | B |
247 | iVBORw0KGgoAAAANSUhEUgAAAVsAAADRCAYAAABikxHnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFKBSURBVHhe7d0JsGVVeS/wW5k6WiEvVuwYgx2tgJIKkGBJkfYRRaoMTxO1IM8BLYhaYooQ0NaEACrKQ4EwqOAQVAxOoDgAaitE1HZChDgriBiURDEKESM4JR3Nfv3bfb/r7t17WHufc0+fe+/6V5269557zh7W8P/+37DWXigyMjIyMpYdmWwzMjIyZoBMthkZGRkzQCbbjIyM... | As shown in the figure, use a protractor to measure the degree of ∠B in △ABC. If ∠B is cut along the dashed line in the figure, then ∠1 + ∠2 equals ( ). | A. 130°; B. 230°; C. 270°; D. 310°; E. No correct answer | B |
248 | iVBORw0KGgoAAAANSUhEUgAAAO4AAACYCAYAAADjldX+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEg3SURBVHhe7d0HgB5VtQdwFBR5gErxgSAoKlWqjS4q0kFBUVEQQVREEFDR9/Q9KyKCIMKTpqAUQVqQHqpSAgRCSYMkJLSEHkp6stndnHd/99sbJh/fbjYJLez8yezMN+XOneH87/+cc+/MLBI1WmLGjBlx1113xaBBg+KBBx6IIUOGxP333x+33HJLTJs2rWuvuaOzszOGDRsW... | As shown in the figure, what is the measure of the angle using the protractor? ( )°? | A. 67; B. 50; C. 60; D. No correct answer | A |
249 | iVBORw0KGgoAAAANSUhEUgAAAO4AAACYCAYAAADjldX+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADAtSURBVHhe7V0JgI3V+9Y6/FDZKi1KttAvlDalSNZs7aUFrVJZS3taiJTELyJSEpHI2thibKVIlC1E1uzL7HfunXn+7/N+99w5rkszMn/d6zzj3O98Z/sW7/O979nzwcHBIergiOvgEIVwxHVwiEI44jo4RCEccR0cohCOuA4OUQhHXAeHKIQjroNDFMIR18EhCuGI6+AQhXDE... | A triangle paper has one of its corners torn off (as shown in the figure). What is the measure of the angle that was torn off? ( ) | A. 50°; B. 40°; C. 67°; D. No correct answer | C |
250 | iVBORw0KGgoAAAANSUhEUgAAAOwAAACXCAYAAAAWNrcWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA1LSURBVHhe7Z1PiBTZHcd7wIMHDyoePHjwIKjgQcGD0EJMGNAQWUaQXRMmIDgHd1Hog7IGBtwwCXPwoKsHDxXjYXZRkOwchJjNwIgrxA2CIxEjxgYhZhl2ZVdWD0J7eKnv6/rVvumu6q7/1a/q+4HHulU1Pd099an3e69+9X4NRQixBgpLiEVQWEIsgsISYhEUlhCLoLCEWASF... | The triangle in the figure below is a ( ) triangle. | A. Equilateral; B. Isosceles; C. Obtuse; D. No correct answer | B |
251 | iVBORw0KGgoAAAANSUhEUgAAAO4AAACYCAYAAADjldX+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEg3SURBVHhe7d0HgB5VtQdwFBR5gErxgSAoKlWqjS4q0kFBUVEQQVREEFDR9/Q9KyKCIMKTpqAUQVqQHqpSAgRCSYMkJLSEHkp6stndnHd/99sbJh/fbjYJLez8yezMN+XOneH87/+cc+/MLBI1WmLGjBlx1113xaBBg+KBBx6IIUOGxP333x+33HJLTJs2rWuvuaOzszOGDRsW... | A triangle paper piece has one of its corners torn off (as shown in the figure), and the degree of one of its angles is measured using a protractor. What type of triangle is this? | A. Equilateral; B. Isosceles; C. Obtuse; D. No correct answer | B |
252 | iVBORw0KGgoAAAANSUhEUgAAAR4AAAFjCAYAAADrdWTJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACohSURBVHhe7d0LeBTlvQZwISEbSAKhgICCRAFBLgoKkgoCURRU0KgoyEWjokRFTS0ICuUiWvTkKFqooaSKFW1UqByFYw5iSS0tEbFERY2CGDViFIp4bVrsOd/h/c83YYFcdjez387svL/nmQf4b27szryZ/a7HKCIiwxg8RGQcg4eIjGPwEJFxDB4iMo7BQ0TGMXiIyDgGDxEZ... | As shown in the figure, using a triangular ruler to measure the degree of ∠3, what is the angle in degrees? | A. 30; B. 50; C. 60; D. No correct answer | A |
253 | iVBORw0KGgoAAAANSUhEUgAAARwAAAFhCAYAAACiSBX/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2wSURBVHhe7d1diFXnvcdxKYXpRaf0okO9qDBgIYEkkIAEwUKUykkLc2FAQkgtHagXPWLBAwYNSdFDT+jFXDRhDszFQISThggptSDUowUleEgTPCcv2BwxkQxES5ojpjS5EKYXz5nvcj3jHmfP7JdZ69nr5fuBhbpm9h5n77V+e63n5f9sCpKUiIEjKRkDR1IyBo6kZAwcSckY... | In the figure, there is an isosceles triangle. Then ∠1 ( ) ∠2. | A. >; B. =; C. <; D. No correct answer | B |
254 | iVBORw0KGgoAAAANSUhEUgAAARwAAAFhCAYAAACiSBX/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2wSURBVHhe7d1diFXnvcdxKYXpRaf0okO9qDBgIYEkkIAEwUKUykkLc2FAQkgtHagXPWLBAwYNSdFDT+jFXDRhDszFQISThggptSDUowUleEgTPCcv2BwxkQxES5ojpjS5EKYXz5nvcj3jHmfP7JdZ69nr5fuBhbpm9h5n77V+e63n5f9sCpKUiIEjKRkDR1IyBo6kZAwcSckY... | In an isosceles triangle (as shown in the figure), ∠1 = ∠2. What is the measure of ∠1 in degrees? | A. 150°; B. 70°; C. 75°; D. No correct answer | C |
255 | iVBORw0KGgoAAAANSUhEUgAAAR4AAAFjCAYAAADrdWTJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACohSURBVHhe7d0LeBTlvQZwISEbSAKhgICCRAFBLgoKkgoCURRU0KgoyEWjokRFTS0ICuUiWvTkKFqooaSKFW1UqByFYw5iSS0tEbFERY2CGDViFIp4bVrsOd/h/c83YYFcdjez387svL/nmQf4b27szryZ/a7HKCIiwxg8RGQcg4eIjGPwEJFxDB4iMo7BQ0TGMXiIyDgGDxEZ... | In an isosceles triangle (as shown in the figure), if the vertex angle ∠3 is measured using a triangular ruler, then ∠1 is equal to ( ) degrees. | A. 150°; B. 70°; C. 75°; D. No correct answer | C |
256 | iVBORw0KGgoAAAANSUhEUgAAATsAAADGCAYAAACtpye0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFMsSURBVHhe7d0LuGZlXTf+fWkyHkKzmgxwPFHRlZKH0gh6UywPvOIVZaFoSH8YT/yza/SVQFGkxAwQE0+I4yEVFEUhHZNAA1FESEUoT3giEUpMKEilpux+57Nm//a7Zs063Ot5npnZez/397rWzN7PYR3udf++v+/vsO69kAoKCgrmAIXsCgoK5gKF7AoKCuYChewKCgrmAoXs... | As shown in the figure, the protractor measures the degree of angle ∠B as ()°? | A. 80°; B. 60°; C. 85°; D. 70°; E. No correct answer | A |
257 | iVBORw0KGgoAAAANSUhEUgAAATsAAADGCAYAAACtpye0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABr+SURBVHhe7Z19aB1lm8bPH8IRNKDgQaVGi3FJpYa3VQllI2ikVItFU5C+bjG0EJFu0OW8YGlry1q21uJmwQYXIhxoYa3bsH23eSHSbiskVHlbS5d+vLZboqGBGqmtpJL6R+D4x71zzZn7ZHIy52NmzpkzH9cPHjRzPtpO5rnmfu7nvq9JCSGEJACKHSEkEVDsCCGJgGJHCEkE... | As shown in the figure, in triangle ABC, ∠A + ∠C = | A. 150°; B. 100°; C. 130°; D. No correct answer | B |
258 | iVBORw0KGgoAAAANSUhEUgAAATkAAADGCAYAAACpUveJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABcJSURBVHhe7Z1faBxXlsb1kNB+iLx5iCDEUWJQQIGJwIYwCJQhEQQTgQIyBE/+CQecGTImWbQQYxsbosUGweohMXrwQ4PNThwk1mA/9DKKHFZGkxl7FDOOROI1dkwEjoztNXKQ8yDoPJztr7pOu1Xqqu6qrqquuvX94GKpqrslt+p+fe6553zVJoQQYjAUOUKI0VDkCCFGQ5Ej... | As shown in the figure, in triangle ABC, it is known that ∠A + ∠C = 100°. If angle B is cut off along the line in the figure, then ∠1 + ∠2 equals ( ) | A. 80°; B. 100°; C. 260°; D. 270°; E. No correct answer | C |
259 | iVBORw0KGgoAAAANSUhEUgAAATsAAADGCAYAAACtpye0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFMsSURBVHhe7d0LuGZlXTf+fWkyHkKzmgxwPFHRlZKH0gh6UywPvOIVZaFoSH8YT/yza/SVQFGkxAwQE0+I4yEVFEUhHZNAA1FESEUoT3giEUpMKEilpux+57Nm//a7Zs063Ot5npnZez/397rWzN7PYR3udf++v+/vsO69kAoKCgrmAIXsCgoK5gKF7AoKCuYChewKCgrmAoXs... | As shown in the figure, in triangle ABC, if angle ∠B is cut off along the line in the figure, then ∠1 + ∠2 = ( ). | A. 80°; B. 100°; C. 260°; D. 270°; E. No correct answer | C |
260 | iVBORw0KGgoAAAANSUhEUgAAANQAAACQCAYAAABwF0ViAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABYlSURBVHhe7Z0LeBRVlsf7m3U2zkg0CFFGyfgICjPIACuwmUVFlCE8wgiI4W0CE1eIkQ0DMTgwCoLiENmAWc1IKwgBjcAkQFToEGlCAgRYkiBBTHgEA5FEXgJqnGZ2z9S5dau7ulOdrqaru6urz+/77pfk9O3qfH3rX/fec8+9xwQEQWgGCYogNIQERRAaQoIiCA0hQRGEhpCg... | As shown in the figure, the measure of angle ∠1 using a triangular ruler is ( ). | A. 90°; B. 60°; C. 45°; D. 30°; E. No correct answer | B |
261 | iVBORw0KGgoAAAANSUhEUgAAANUAAACQCAYAAACf1S5cAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABIYSURBVHhe7Z1faFxVHsdnqzA+mFbQAaWGLUQYQctakGxh/BfspsrKkoKILQaLdUFDs8xDu2uwaEC7hebBlj7kYWiLNEuDdu1DqpEIE1RsKGXVYmOIhgZqS2wklcaHgfHht+d77vklZyZ3/uZO5v75feBi5sy9s9t77veec37n9ydGgiB4iohKEDxGRCUIHiOiEgSPEVEJgseI... | The triangle in the figure is a () triangle, and ∠1 () ∠2. | A. Right, >; B. Isosceles, =; C. Obtuse, <; D. No correct answer | B |
262 | iVBORw0KGgoAAAANSUhEUgAAANUAAACQCAYAAACf1S5cAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABIYSURBVHhe7Z1faFxVHsdnqzA+mFbQAaWGLUQYQctakGxh/BfspsrKkoKILQaLdUFDs8xDu2uwaEC7hebBlj7kYWiLNEuDdu1DqpEIE1RsKGXVYmOIhgZqS2wklcaHgfHht+d77vklZyZ3/uZO5v75feBi5sy9s9t77veec37n9ydGgiB4iohKEDxGRCUIHiOiEgSPEVEJgseI... | Given that the triangle in the diagram is an isosceles triangle and ∠1 = ∠2, find the length of the third side of this triangle ( ). | A. 3cm; B. 6cm; C. 12cm; D. 8cm; E. No correct answer | B |
263 | iVBORw0KGgoAAAANSUhEUgAAANQAAACQCAYAAABwF0ViAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABYlSURBVHhe7Z0LeBRVlsf7m3U2zkg0CFFGyfgICjPIACuwmUVFlCE8wgiI4W0CE1eIkQ0DMTgwCoLiENmAWc1IKwgBjcAkQFToEGlCAgRYkiBBTHgEA5FEXgJqnGZ2z9S5dau7ulOdrqaru6urz+/77pfk9O3qfH3rX/fec8+9xwQEQWgGCYogNIQERRAaQoIiCA0hQRGEhpCg... | As shown in the figure, use a triangular ruler to measure the angles inside the triangle in the diagram. Find the length of the third side of this triangle ( ). | A. 3cm; B. 6cm; C. 12cm; D. 8cm; E. No correct answer | B |
264 | iVBORw0KGgoAAAANSUhEUgAAAS0AAACgCAYAAABZujpcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEk8SURBVHhe7d0L2HXlmAdwh+GjxIgwkcYYooSUohLFVc0w1NS4CMPlykylXB2EciaHlCgmVIZxZpRDjiHjVCJGzgYZjUOZcT7nsOb7Pd97f55vfeu4937f793v+/yva137ffdee61nPc99/+//fT/PWvsaVUFBQcEcoZBWQUHBXKGQVkFBwVyhkFZBQcFcoZBWQUHBXKGQ1grB... | The figure below shows a rectangular piece of paper. Using a protractor, the measure of ∠1 is ( ). | A. 50°; B. 60°; C. 65°; D. 70°; E. No correct answer | A |
265 | iVBORw0KGgoAAAANSUhEUgAAASsAAACgCAYAAABUpEobAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACg3SURBVHhe7Z0JmFZVGccxKzLDXHLDXTETt7RSU4tMcsmHJ1REMwk1UjMkFVFwwZUwNUPTxFDJEAMXNBEVFc1KU3MPF8zM0Ewt99Sy5dTvnfl/vHO4w8zo983cO7y/5znPvd/Z7rl37vnPuee+5709UhAEQQUIsQqCoBKEWAVBUAlCrIIgqAQhVkEQVIIQqyAIKkGIVRAElSDE... | The figure below shows a rectangular piece of paper. After folding the left side, ∠2 ( ) ∠3. | A. >; B. =; C. <; D. No correct answer | B |
266 | iVBORw0KGgoAAAANSUhEUgAAASsAAACfCAYAAAChiP9jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACnISURBVHhe7Z0JuFZF/ccxSzLDUsN9ByPBJa3UxEKSRPPPE7igmeRGaoSEKSIuSCphQoZboVchAwxc0ETEFbMUQQXFINRITXPBEreUvC3zv5+59/vyu3PPXcj3vfcc+H2eZ55z3tnOnHPPfO/MnN/MtAuO4zgFwMXKcZxC4GLlOE4hcLFyHKcQuFg5jlMIXKwcxykELlaO4xQC... | The figure below shows a rectangular piece of paper. Using a protractor, it is measured that ∠1 = 50°. After folding the left side, ∠2 = ∠3. The measure of ∠2 is ( ). | A. 50°; B. 60°; C. 65°; D. 70°; E. No correct answer | C |
267 | iVBORw0KGgoAAAANSUhEUgAAAS0AAACgCAYAAABZujpcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEk8SURBVHhe7d0L2HXlmAdwh+GjxIgwkcYYooSUohLFVc0w1NS4CMPlykylXB2EciaHlCgmVIZxZpRDjiHjVCJGzgYZjUOZcT7nsOb7Pd97f55vfeu4937f793v+/yva137ffdee61nPc99/+//fT/PWvsaVUFBQcEcoZBWQUHBXKGQVkFBwVyhkFZBQcFcoZBWQUHBXKGQ1grB... | The figure below shows a rectangular piece of paper. Measure the degree of ∠1 using a protractor, and then fold the left side up. What is the degree of ∠2? | A. 50°; B. 60°; C. 65°; D. 70°; E. No correct answer | C |
268 | iVBORw0KGgoAAAANSUhEUgAAAVgAAAEOCAYAAADMuw+qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAMBmSURBVHhe7P13nBRXlqeN935++779z86+Ozvb+868O6Z7enraSmp5AXJ4b8tS3nvvK7O8x3uQAAGSQN4hgxMIIS9kMfIegSTkMMIL6fzOczJvkVSXumWqkIA46CgyIyMjsjIjnvjec88992fimWeeeeZZr5gHWM8888yzXjIPsJ555plnvWQeYD3zzDPPesk8wHrmmWee9ZJ5... | The volume of each small cube is shown in the diagram. What is the volume of the small cube in cubic centimeters? | A. 10; B. 1; C. 0.1; D. No correct answer | B |
269 | iVBORw0KGgoAAAANSUhEUgAAAVgAAAEPCAYAAAAH59wPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAALjNSURBVHhe7f13mFRXsqeN3ue5z71/3W/uzJyZuWe+Oa5Pnz7t1S0vQA7vbVnKe+99ZZb3eA8SSIAkkHfIAgJ5iyxGQhLyQt5ghAcpbryRtYpUNeqWuknUoBU8wc7cudNU5t7v+q1YsWL9P8SbN2/evEXEPGC9efPmLULmAevNmzdvETIPWG/evHmLkHnAevPmzVuEzAPWmzdv... | As shown in the figure, the volume of each small cube is 1 cubic centimeter. What are the length, width, and height of the rectangular cuboid in centimeters? | A. 6, 5, 4; B. 4, 5, 4; C. 6, 5, 3; D. No correct answer | A |
270 | iVBORw0KGgoAAAANSUhEUgAAAVkAAAEMCAYAAABuscWfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAMPVSURBVHhe7P13uFTVtq+Nrue5z73+c9e555z9eb5zvr3de6/tXtuVdC2zgImc44zMnHPOc9bMmZxBAQEVFLOISpAg5oiSRBQTgoqKBEki2m57W1WfFFNUXDJxgaNhc1SNGhVm1Rhv//XWW2/9N+KZZ5555lmXmQdZzzzzzLMuNA+ynnnmmWddaB5kPfPMM8+60DzIeuaZZ551... | Given that the length, width, and height of the rectangular cuboid in the figure below, find the volume of the rectangular cuboid ( )in cm³. | A. 90; B. 100; C. 120; D. No correct answer | C |
271 | iVBORw0KGgoAAAANSUhEUgAAAVgAAAEOCAYAAADMuw+qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAMBmSURBVHhe7P13nBRXlqeN935++779z86+Ozvb+868O6Z7enraSmp5AXJ4b8tS3nvvK7O8x3uQAAGSQN4hgxMIIS9kMfIegSTkMMIL6fzOczJvkVSXumWqkIA46CgyIyMjsjIjnvjec88992fimWeeeeZZr5gHWM8888yzXjIPsJ555plnvWQeYD3zzDPPesk8wHrmmWee9ZJ5... | As shown in the figure, the volume of each small cube is 0.001 cubic decimeters. What is the volume of the large rectangular cuboid in cubic centimeters? | A. 90; B. 100; C. 120; D. No correct answer | C |
272 | iVBORw0KGgoAAAANSUhEUgAAAg4AAAEtCAYAAABga+g8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACK6SURBVHhe7d1haBzpnedxvQhUXkTcq84bpyHQL/TCGGJyCBO98IiAjSEMEglexiBs1rlwK/CiF6czYl5EHDbDng5mvIETS4PDMjIjLrd2QIe9FqyMhh1PhHM+axlhNOhs8NrY8iGDtISGepH/1VNd1aqWuroft556nqru7wd+yUhP+1Grurrrp+qq6gEBAADQRHEAAADaKA4A... | As shown in the figure, using a ruler to measure the length of the rectangular cuboid is () cm. | A. 10; B. 5; C. 4; D. 8; E. No correct answer | A |
273 | iVBORw0KGgoAAAANSUhEUgAAAg4AAAEwCAYAAADfI/l5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB0dSURBVHhe7d1xaJv3ncdxj44JxkTHmGFj027gMQeC/wiDYHAh1T/JypUj5ka6C4SUC5TVcEz3h+eG/lFzxFeKYasXqA9058JdAqEFh5G7pPYfDk5CmrAtdUrcnEOwwSRL0kMFu2wG/bHv6Ss9sh/bP8lf2Y+t5/np/YIPt0iPHJdTrDfSI7lNAAAAjAgHAABgRjgAAAAzwgEA... | If the rectangular cuboid in the figure below is cut into the largest possible cube, what is the side length of this cube? (Unit: cm) | A. 10; B. 5; C. 3; D. 4; E. No correct answer | D |
274 | iVBORw0KGgoAAAANSUhEUgAAAg0AAAEsCAYAAABAAICaAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACbtSURBVHhe7d1/aBz3/efxpS3dkmbBpSyEhoVSBVRwDBEcQnxVcPcfu+ZKkfkWhxqETd0riSCw/UMRJilRwUqofVD7chffZb91j0ZuRNOzIbpvbInL5is3cexvUkcudm05rkVdu7JDNkTqXYT2j75uPrOzq9nV7O5H9kjanX0+4E2j+bFWKqN5ZnZmNiYAAAALRAMAALBCNAAA... | If the rectangular cuboid in the diagram is cut into the largest possible cube, what is the volume of that cube in cubic centimeters? ( ) | A. 64; B. 125; C. 1000; D. No correct answer | A |
275 | iVBORw0KGgoAAAANSUhEUgAAAg4AAAEtCAYAAABga+g8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACK6SURBVHhe7d1haBzpnedxvQhUXkTcq84bpyHQL/TCGGJyCBO98IiAjSEMEglexiBs1rlwK/CiF6czYl5EHDbDng5mvIETS4PDMjIjLrd2QIe9FqyMhh1PhHM+axlhNOhs8NrY8iGDtISGepH/1VNd1aqWuroft556nqru7wd+yUhP+1Grurrrp+qq6gEBAADQRHEAAADaKA4A... | As shown in the figure, use a ruler to measure the length of the rectangular cuboid, and then cut the rectangular cuboid into a cube with the largest possible volume. What is the volume of this cube in cm³( )? (Unit: cm) | A. 64; B. 125; C. 1000; D. No correct answer | A |
276 | iVBORw0KGgoAAAANSUhEUgAAAQIAAADZCAYAAADLwT4IAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACCOSURBVHhe7Z0HmJTV9cZJYokJRgIBQSIBRIKooBQpEVAB6Z2giJFuKCpSFBCQCIpIV4oCUUCCCGJCaAKCqBBBUJQSOhFEDSooRaQYvX9+x/nIONnd2Zmd+Xb2+7+/57nPttmFmfnu+733nHPPzeWEEP/vkRAIISQEQggJgRDiLBICIYSEQAghIRBCnEVCIISQEAghJARCiLNI... | As shown in the figure, a cube with a surface area of 24 cm² is cut off from a rectangular cuboid. What is the edge length of the small cube in cm? | A. 4; B. 6; C. 2; D. No correct answer | C |
277 | iVBORw0KGgoAAAANSUhEUgAAAQYAAADaCAYAAABEvuzcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACW/SURBVHhe7Z0H2FV1HcfNEDQhGYkgSahIiAooIGABEUuRKUQqhrKM4UKQIbjAEAPBASiQghoiuIglyygxSVGUETIkxZWWpqA4q3/P59c9dLn3ve+589z1/TzPed51Ge+553zP9/9b/8OcEEJEIGEQQkQhYRBCRCFhEEJEIWEQQkQhYRBCRCFhEEJEIWEQQkQhYRBCRCFhEEJE... | As shown in the figure, the volume of the small cube that has been cut off is ( ) (unit: cm³) | A. 20 cm³; B. 8 cm³; C. 40 cm³; D. No correct answer | B |
278 | iVBORw0KGgoAAAANSUhEUgAAAQYAAADaCAYAAABEvuzcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACW/SURBVHhe7Z0H2FV1HcfNEDQhGYkgSahIiAooIGABEUuRKUQqhrKM4UKQIbjAEAPBASiQghoiuIglyygxSVGUETIkxZWWpqA4q3/P59c9dLn3ve+589z1/TzPed51Ge+553zP9/9b/8OcEEJEIGEQQkQhYRBCRCFhEEJEIWEQQkQhYRBCRCFhEEJEIWEQQkQhYRBCRCFhEEJE... | As shown in the figure, after cutting off a small cube with a volume of 8 cubic centimeters from a rectangular cuboid, the remaining volume is ( ) | A. 400 cubic centimeters; B. 8 cubic centimeters; C. 392 cubic centimeters; D. No correct answer | C |
279 | iVBORw0KGgoAAAANSUhEUgAAAQIAAADZCAYAAADLwT4IAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACCOSURBVHhe7Z0HmJTV9cZJYokJRgIBQSIBRIKooBQpEVAB6Z2giJFuKCpSFBCQCIpIV4oCUUCCCGJCaAKCqBBBUJQSOhFEDSooRaQYvX9+x/nIONnd2Zmd+Xb2+7+/57nPttmFmfnu+733nHPPzeWEEP/vkRAIISQEQggJgRDiLBICIYSEQAghIRBCnEVCIISQEAghJARCiLNI... | As shown in the figure, a cube with a surface area of 24 cm² has been cut off. The remaining volume is ( ). | A. 400 cubic centimeters; B. 8 cubic centimeters; C. 392 cubic centimeters; D. No correct answer | C |
280 | iVBORw0KGgoAAAANSUhEUgAAAMkAAADOCAYAAACUwya9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyoSURBVHhe7Z2/bhVJHkZhAAlmA/BOQsbIhKMVSIS7khMHM5oEaeRNRyskR6NNjUhInTmzxAPsCJHvJA4ISP0KCJ4AHsGj7879TPlSfft/d1X1OdInZq7vtd2/7uPuqq6qvnYBAFtBEoAakASgBiQBqAFJAGpAEoAakASghkpJ7t69e3Ht2jVCks1UVP4k/yJ7e3tkgFDL4fLo... | The white part in the figure is composed of 4 identical sectors. These four sectors can be combined to form ( ) | A. A semicircle; B. A circle; C. A sector that is neither a semicircle nor a circle; D. No correct answer | B |
281 | iVBORw0KGgoAAAANSUhEUgAAAMkAAADOCAYAAACUwya9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyoSURBVHhe7Z2/bhVJHkZhAAlmA/BOQsbIhKMVSIS7khMHM5oEaeRNRyskR6NNjUhInTmzxAPsCJHvJA4ISP0KCJ4AHsGj7879TPlSfft/d1X1OdInZq7vtd2/7uPuqq6qvnYBAFtBEoAakASgBiQBqAFJAGpAEoAakASghkpJ7t69e3Ht2jVCks1UVP4k/yJ7e3tkgFDL4fLo... | The white area in the figure is composed of 4 identical sectors, which can be combined to form a complete circle. What is the area of the white part in cm²? (Unit: cm) | A. π; B. 3π; C. 9π; D. 36π; E. No correct answer | C |
282 | iVBORw0KGgoAAAANSUhEUgAAAMkAAADOCAYAAACUwya9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyoSURBVHhe7Z2/bhVJHkZhAAlmA/BOQsbIhKMVSIS7khMHM5oEaeRNRyskR6NNjUhInTmzxAPsCJHvJA4ISP0KCJ4AHsGj7879TPlSfft/d1X1OdInZq7vtd2/7uPuqq6qvnYBAFtBEoAakASgBiQBqAFJAGpAEoAakASghkpJ7t69e3Ht2jVCks1UVP4k/yJ7e3tkgFDL4fLo... | The white part in the figure is composed of 4 identical sectors, and the area of the white part is (9π) cm². What is the area of the shaded part ( ) cm²? (Unit: cm) | A. 6 - 3π; B. 36 - 3π; C. 6 - 9π; D. 36 - 9π; E. No correct answer | D |
283 | iVBORw0KGgoAAAANSUhEUgAAAMkAAADOCAYAAACUwya9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyoSURBVHhe7Z2/bhVJHkZhAAlmA/BOQsbIhKMVSIS7khMHM5oEaeRNRyskR6NNjUhInTmzxAPsCJHvJA4ISP0KCJ4AHsGj7879TPlSfft/d1X1OdInZq7vtd2/7uPuqq6qvnYBAFtBEoAakASgBiQBqAFJAGpAEoAakASghkpJ7t69e3Ht2jVCks1UVP4k/yJ7e3tkgFDL4fLo... | The white part in the figure is composed of 4 identical sectors. The area of the shaded part is ( ) cm². (Unit: cm) | A. 6-3π; B. 36-3π; C. 6-9π; D. 36-9π; E. No correct answer | D |
284 | iVBORw0KGgoAAAANSUhEUgAAAUsAAACYCAYAAABtasurAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABGTSURBVHhe7d1faFRXHgfwPBTsQwUfFAqtUGhBHyp0oZRAfKjQBx9EUshDKy4KbSEpVUYwqEQw2AShKXSzCmEZSChGDCtsHgJNVRjZ1U2U7G4QDRIbFDYuqZZUtA+B6cNv7/fm/iaTmUlycpPM/Z073w/c1cxk653fvec35989p06IiGhFTJZERA6YLImIHDBZEhE5YLIkInLA... | Using a piece of wire, you can form the following square ①. The perimeter of the square is () cm. | A. 5; B. 20; C. 10; D. No correct answer | B |
285 | iVBORw0KGgoAAAANSUhEUgAAAUoAAACVCAYAAAA+NrNLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLNSURBVHhe7Z1faFRXHsd9KNiHyvbBglAXhAbaB8t2oSxC+tCCsC5IcUF2Wym0oAVdVObBUGVkDSZBtlnWzSrMw4BSjBhwWR8GHNrCyNLdqLggtg0SGxS2QrqKlOhDYPrw2/u99/5m7vzLzUySe3/nzvcDB2buTJKb3znne3/nnN/5nXVCCCFkSSiUhBASA4WSEEJioFASQkgM... | The diameter AB of circle ② is shown in the figure. What is the area of circle ② in square centimeters? ( )(π = 3.14) | A. 314; B. 628; C. 320.28; D. No correct answer | A |
286 | iVBORw0KGgoAAAANSUhEUgAAAUoAAACVCAYAAAA+NrNLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLNSURBVHhe7Z1faFRXHsd9KNiHyvbBglAXhAbaB8t2oSxC+tCCsC5IcUF2Wym0oAVdVObBUGVkDSZBtlnWzSrMw4BSjBhwWR8GHNrCyNLdqLggtg0SGxS2QrqKlOhDYPrw2/u99/5m7vzLzUySe3/nzvcDB2buTJKb3znne3/nnN/5nXVCCCFkSSiUhBASA4WSEEJioFASQkgM... | In the figure below, the area of rectangle ③ is 314 square centimeters. What is the width of the rectangle ( ) cm?(π = 3.14) | A. 3.14; B. 6.28; C. 15.7; D. No correct answer | C |
287 | iVBORw0KGgoAAAANSUhEUgAAAUsAAACYCAYAAABtasurAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABGTSURBVHhe7d1faFRXHgfwPBTsQwUfFAqtUGhBHyp0oZRAfKjQBx9EUshDKy4KbSEpVUYwqEQw2AShKXSzCmEZSChGDCtsHgJNVRjZ1U2U7G4QDRIbFDYuqZZUtA+B6cNv7/fm/iaTmUlycpPM/Z073w/c1cxk653fvec35989p06IiGhFTJZERA6YLImIHDBZEhE5YLIkInLA... | Using a piece of wire to form the square below, and the length of the wire is equal to the length of AB and CD, and the areas of figures ② and ③ are equal, what is the width of the rectangle ( ) cm?(π = 3.14) | A. 3.14; B. 6.28; C. 15.7; D. No correct answer | C |
288 | iVBORw0KGgoAAAANSUhEUgAAAgwAAADOCAYAAABSOVqZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACyQSURBVHhe7Z1vjFRXeubJQNsYA2b4kzY2NgQzNG2bP54QTGNMGsNgZiHIaoMZszAglgkQM7ZZIQbGDJghMbKZ4J5hSMNg5FYji5WQYikoYhKkoJE3slaW1ruLIhR5JT74A9JaO9bGH5DiD2f7d6i3fOr2KW51d3V11b3PT3oEXbe6uuqet+557jnvec8IJ4QQQgiRggyDEEII... | As shown in the figure, the diameter L of the semicircle is close to the circumference of the small circle on the left. Which of the following lengths is closest to L? (π=3.14) | A. 40; B. 30; C. 50; D. No correct answer | A |
289 | iVBORw0KGgoAAAANSUhEUgAAAgwAAADNCAYAAADUrSg3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACI/SURBVHhe7Z1/jJXVmcepigg4QllGKz+EImWkgIiloxQERmaxFmoowVKtsxJKI1LUYYO2tm7AmGJassou6UIzFY0/IgmJJksaNpJAjJsaY9KuJU1DNSUpNa0xpKn9g2T84yzfM/e5c+bMufedGebHe+/7+Zgn8v64d+5973nP832f85znjHIAAAAAGSAYAAAAIBMEAwAAAGSC... | As shown in the figure, a 4-meter-wide path is laid along the outer edge of a semicircular lawn. What is the radius of the circle composed of the path and the lawn? () meters. | A. 16; B. 24; C. 20; D. No correct answer | B |
290 | iVBORw0KGgoAAAANSUhEUgAAAgwAAADNCAYAAADUrSg3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACI/SURBVHhe7Z1/jJXVmcepigg4QllGKz+EImWkgIiloxQERmaxFmoowVKtsxJKI1LUYYO2tm7AmGJassou6UIzFY0/IgmJJksaNpJAjJsaY9KuJU1DNSUpNa0xpKn9g2T84yzfM/e5c+bMufedGebHe+/7+Zgn8v64d+5973nP832f85znjHIAAAAAGSAYAAAAIBMEAwAAAGSC... | As shown in the figure, a 4-meter-wide path is laid along the perimeter of a semicircular lawn. Given that the radius of the path is 24 meters, which of the following formulas should be used to find the area of the path? (π=3.14) | A. 3.14×(24^2－20^2)÷2; B. 3.14×(24^2－20^2); C. 3.14×(22^2－20^2)÷2; D. 3.14×(22^2－20^2); E. No correct answer | A |
291 | iVBORw0KGgoAAAANSUhEUgAAAgwAAADOCAYAAABSOVqZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACyQSURBVHhe7Z1vjFRXeubJQNsYA2b4kzY2NgQzNG2bP54QTGNMGsNgZiHIaoMZszAglgkQM7ZZIQbGDJghMbKZ4J5hSMNg5FYji5WQYikoYhKkoJE3slaW1ruLIhR5JT74A9JaO9bGH5DiD2f7d6i3fOr2KW51d3V11b3PT3oEXbe6uuqet+557jnvec8IJ4QQQgiRggyDEEII... | As shown in the figure, the diameter L of the semicircular lawn is close to the circumference of the small circle on the left. A 4-meter-wide path is laid around the semicircular lawn. Which of the following formulas should be used to find the area of the path?(Use π = 3.14) | A. 3.14×(24^2－20^2)÷2; B. 3.14×(24^2－20^2); C. 3.14×(22^2－20^2)÷2; D. 3.14×(22^2－20^2); E. No correct answer | A |
292 | iVBORw0KGgoAAAANSUhEUgAAAZYAAADfCAYAAADV2PWGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvnSURBVHhe7d2/i5zlGsfhxCQadf2BUQyIkMIitbWFYmOnRRAUhFQWQjBFEIuAYCMqmEKsFG2srBYLWwsr0drCIv4PlhbO2Xvdd+88z5lkNrv3zs7Mc13wxXAyJOcM796fmM3ZnJoBQCFhAaCUsABQSlgAKCUsAJQSFgBKCQsApYQFgFLCAkApYQGglLAAUEpYACglLACUEhYA... | As shown in the figure, the volume of the small cube is 1 cm³. What is the edge length of the small cube? ( ) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | D |
293 | iVBORw0KGgoAAAANSUhEUgAAAZYAAADfCAYAAADV2PWGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvnSURBVHhe7d2/i5zlGsfhxCQadf2BUQyIkMIitbWFYmOnRRAUhFQWQjBFEIuAYCMqmEKsFG2srBYLWwsr0drCIv4PlhbO2Xvdd+88z5lkNrv3zs7Mc13wxXAyJOcM796fmM3ZnJoBQCFhAaCUsABQSlgAKCUsAJQSFgBKCQsApYQFgFLCAkApYQGglLAAUEpYACglLACUEhYA... | As shown in the figure, multiple small cubes with a side length of 1 cm are combined to form a large rectangular cuboid. The length, width, and height of this rectangular cuboid are respectively () cm. | A. 4, 3, 2; B. 3, 2, 1; C. 3, 3, 2; D. 4, 2, 1; E. No correct answer | B |
294 | iVBORw0KGgoAAAANSUhEUgAAAZYAAADfCAYAAADV2PWGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABlNSURBVHhe7Z19iFTnvceXNnSaNNuGpGMlzdKXDWzASCuUYGMg2hZtir01tNhUDBFM/6ilsAlXRBKIqQlts38YyR+5sEXhqmiTkkCFbNYSxeTW6rWJGmIXX3DBmKgRU7JyGZhAf3d+55xnzovPnHnZMzNn5vl84IvZOWd2s795nt9nnzkvMyAAAAAZglgAACBTEAsAAGQKYgEA... | As shown in the figure, multiple small cubes with a side length of 1 cm each are combined to form a large rectangular cuboid. What is the surface area of this rectangular cuboid in cm²? | A. 22; B. 21; C. 20; D. 18; E. No correct answer | A |
295 | iVBORw0KGgoAAAANSUhEUgAAAZYAAADfCAYAAADV2PWGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvnSURBVHhe7d2/i5zlGsfhxCQadf2BUQyIkMIitbWFYmOnRRAUhFQWQjBFEIuAYCMqmEKsFG2srBYLWwsr0drCIv4PlhbO2Xvdd+88z5lkNrv3zs7Mc13wxXAyJOcM796fmM3ZnJoBQCFhAaCUsABQSlgAKCUsAJQSFgBKCQsApYQFgFLCAkApYQGglLAAUEpYACglLACUEhYA... | As shown in the figure, multiple small cubes with a volume of 1 cm³ each are combined to form a large rectangular cuboid. What is the surface area of this rectangular cuboid? | A. 22; B. 21; C. 20; D. 18; E. No correct answer | A |
296 | iVBORw0KGgoAAAANSUhEUgAAAWQAAAEWCAYAAABR8e3qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaQSURBVHhe7d1PiFTXnsDxIhjKRZrJpiAQZBYyJCASehPCtCBufAjDoCRk8UBsEAamYYZ+CxERJj1kMi6yiJKBt2jIYtBBEMxAg6GF6YfJw5fe5A8mBIMoiI/og37QumjoLH5Tp+493WVZf25V3XPP73fu9wOXtNXV3b+6p843ZXV12xAAgAoEGQCUIMgAoARBBgAlCDIAKEGQ... | As shown in the figure, quadrilateral OABC is a right trapezoid. Then ∠OAB = ∠ABC = ( )° | A. 45; B. 60; C. 72; D. 90; E. No correct answer | D |
297 | iVBORw0KGgoAAAANSUhEUgAAAWQAAAEWCAYAAABR8e3qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaQSURBVHhe7d1PiFTXnsDxIhjKRZrJpiAQZBYyJCASehPCtCBufAjDoCRk8UBsEAamYYZ+CxERJj1kMi6yiJKBt2jIYtBBEMxAg6GF6YfJw5fe5A8mBIMoiI/og37QumjoLH5Tp+493WVZf25V3XPP73fu9wOXtNXV3b+6p843ZXV12xAAgAoEGQCUIMgAoARBBgAlCDIAKEGQ... | In the tiling pattern shown in the figure, which is composed of identical right-angled trapezoids, the angle ∠AOC at the junction is equal to ( )°. | A. 45; B. 60; C. 72; D. 90; E. No correct answer | A |
298 | iVBORw0KGgoAAAANSUhEUgAAAWQAAAEYCAYAAABr+4yaAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABpMSURBVHhe7d1fiBTXnsDxfpCMDxn2JQOCkX2QxQeRxJcgO4IIwUQIQYksYbkSQViyA4a5DzIMwsaFKxeuD1Gy4MOACxtd5BpMQDA7wk6Ym4tRFkxCYkQjcUlc1ISJjD4I48Nv+9SpM1PdU11d1V1/zq/q+4EiMz3V3aer+nxT1nT3tAQA4AWCDACeIMgA4AmCDACeIMgA4AmC... | In the quadrilateral OABC shown in the figure, what is the measure of ∠OCB? | A. 135; B. 130; C. 120; D. 90; E. No correct answer | A |
299 | iVBORw0KGgoAAAANSUhEUgAAAWQAAAEWCAYAAABR8e3qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABaQSURBVHhe7d1PiFTXnsDxIhjKRZrJpiAQZBYyJCASehPCtCBufAjDoCRk8UBsEAamYYZ+CxERJj1kMi6yiJKBt2jIYtBBEMxAg6GF6YfJw5fe5A8mBIMoiI/og37QumjoLH5Tp+493WVZf25V3XPP73fu9wOXtNXV3b+6p843ZXV12xAAgAoEGQCUIMgAoARBBgAlCDIAKEGQ... | As shown in the figure, quadrilateral OABC is a right trapezoid. The 8 right trapezoids in the figure are completely identical and form a tessellation pattern. What is the measure of ∠OCB? ( ) degrees | A. 135; B. 130; C. 120; D. 90; E. No correct answer | A |
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