index int64 0 1.74k | image stringlengths 1.02k 414k | question stringlengths 31 488 | option stringlengths 38 473 | answer stringclasses 5
values |
|---|---|---|---|---|
100 | /9j/4AAQSkZJRgABAQAAkACQAAD/4QB0RXhpZgAATU0AKgAAAAgABAEaAAUAAAABAAAAPgEbAAUAAAABAAAARgEoAAMAAAABAAIAAIdpAAQAAAABAAAATgAAAAAAAACQAAAAAQAAAJAAAAABAAKgAgAEAAAAAQAAAsCgAwAEAAAAAQAAAWQAAAAA/+0AOFBob3Rvc2hvcCAzLjAAOEJJTQQEAAAAAAAAOEJJTQQlAAAAAAAQ1B2M2Y8AsgTpgAmY7PhCfv/iD9BJQ0NfUFJPRklMRQABAQAAD8BhcHBsAhAAAG1udHJSR0IgWFlaIAfo... | In the quadrilateral ABCD shown in the figure, ABCD is a right trapezoid, and line segment BE is perpendicular to CD. What is the length of BE in cm? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
101 | /9j/4AAQSkZJRgABAQAAkACQAAD/4QB0RXhpZgAATU0AKgAAAAgABAEaAAUAAAABAAAAPgEbAAUAAAABAAAARgEoAAMAAAABAAIAAIdpAAQAAAABAAAATgAAAAAAAACQAAAAAQAAAJAAAAABAAKgAgAEAAAAAQAAAsSgAwAEAAAAAQAAAVoAAAAA/+0AOFBob3Rvc2hvcCAzLjAAOEJJTQQEAAAAAAAAOEJJTQQlAAAAAAAQ1B2M2Y8AsgTpgAmY7PhCfv/iD9BJQ0NfUFJPRklMRQABAQAAD8BhcHBsAhAAAG1udHJSR0IgWFlaIAfo... | In triangle BEC, line segment BE is perpendicular to CD, then CE = ( ) cm | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
102 | /9j/4AAQSkZJRgABAQAAkACQAAD/4QB0RXhpZgAATU0AKgAAAAgABAEaAAUAAAABAAAAPgEbAAUAAAABAAAARgEoAAMAAAABAAIAAIdpAAQAAAABAAAATgAAAAAAAACQAAAAAQAAAJAAAAABAAKgAgAEAAAAAQAAAsCgAwAEAAAAAQAAAWQAAAAA/+0AOFBob3Rvc2hvcCAzLjAAOEJJTQQEAAAAAAAAOEJJTQQlAAAAAAAQ1B2M2Y8AsgTpgAmY7PhCfv/iD9BJQ0NfUFJPRklMRQABAQAAD8BhcHBsAhAAAG1udHJSR0IgWFlaIAfo... | As shown in the figure, quadrilateral ABDE is a rectangle. What is the length of CD in cm? | A. 5; B. 4; C. 3; D. 2; E. No correct answer | A |
103 | /9j/4AAQSkZJRgABAQAAkACQAAD/4QB0RXhpZgAATU0AKgAAAAgABAEaAAUAAAABAAAAPgEbAAUAAAABAAAARgEoAAMAAAABAAIAAIdpAAQAAAABAAAATgAAAAAAAACQAAAAAQAAAJAAAAABAAKgAgAEAAAAAQAAAsCgAwAEAAAAAQAAAWQAAAAA/+0AOFBob3Rvc2hvcCAzLjAAOEJJTQQEAAAAAAAAOEJJTQQlAAAAAAAQ1B2M2Y8AsgTpgAmY7PhCfv/iD9BJQ0NfUFJPRklMRQABAQAAD8BhcHBsAhAAAG1udHJSR0IgWFlaIAfo... | As shown in the figure, ABCD is a right trapezoid with a rectangle ABDE inside it. What is the length of CD? ( ) cm | A. 5; B. 4; C. 3; D. 2; E. No correct answer | A |
104 | iVBORw0KGgoAAAANSUhEUgAAAoIAAAFjCAYAAACpAGqvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACPUSURBVHhe7d0LrGVVeThwJdToxCoELKUYgQASGFLFUvCBj2qACFZJbIs4SESidgpBeT9Ki0iVRwudQq1DJ9YqKo8mKGnHOpS2yNhSjQo1HYS2PI0oTxEdHkKz///vsDbsvc+5j3Pvuffuu9bvl3wZ7l3rvPb++O539vN5FQAARdIIAgAUSiMIAFAojSAAQKE0ggAAhdIIAgAU... | In rectangle ABCD, the length of BC is () cm. | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
105 | iVBORw0KGgoAAAANSUhEUgAAAm0AAAEnCAYAAAD7IHQpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACQLSURBVHhe7d0JrFTV/cBxJdQosRYCllKMQAAJYqpYCi64VANEsEpiW0SQiKRaCkHZl9IqWmVpoRRqhRJrFZWlCUraZ8XSFsGWalSoKQhtWY0oq4iyKc39/3/jOXruuffN8t55M/Ob+X6SX+C9c2Z59/7mzO9u554WAQAAoOxRtAEAAChA0QYAAKAARRsAAIACFG0AAAAKULQB... | In rectangle ABCD, DAE and CBE are two sectors with radii AD and BC respectively. What is the length of AB? () | A. 4; B. 3; C. 2; D. 1; E. No correct answer | A |
106 | iVBORw0KGgoAAAANSUhEUgAAAssAAAGXCAYAAABFrB3KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAF0LSURBVHhe7d0HvBTV3f9xk6hYgp0HG/auiBhLFBv22AKxRRFR7GLBgqiPLVFiwViwRAVbrLErFrCGWDFR0aiIokSMCioooqIkz//8/R72N/x22OHeuXcvu9z5vF+v89oys+XuPXPmu2fPnJknAAAAAKiIsAwAAABkICwDAAAAGQjLAAAAQAbCMgAAAJCBsAwAAABkICwDAAAA... | As shown in the figure, DAE and CBE are two sectors with radii AD and BC, respectively. What is the perimeter of rectangle ABCD? ( ) cm | A. 16; B. 12; C. 6; D. 4; E. No correct answer | B |
107 | iVBORw0KGgoAAAANSUhEUgAAAoIAAAFjCAYAAACpAGqvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACPUSURBVHhe7d0LrGVVeThwJdToxCoELKUYgQASGFLFUvCBj2qACFZJbIs4SESidgpBeT9Ki0iVRwudQq1DJ9YqKo8mKGnHOpS2yNhSjQo1HYS2PI0oTxEdHkKz///vsDbsvc+5j3Pvuffuu9bvl3wZ7l3rvPb++O539vN5FQAARdIIAgAUSiMIAFAojSAAQKE0ggAAhdIIAgAU... | In rectangle ABCD, DAE and CBE are two sectors with radii AD and BC, respectively. What is the perimeter of rectangle ABCD? ( ) cm | A. 16; B. 12; C. 6; D. 4; E. No correct answer | B |
108 | iVBORw0KGgoAAAANSUhEUgAAAt8AAAIpCAYAAAB6wVTAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACMzSURBVHhe7d2xit171cdhbyDF22qnECurI9YpBKuAnXBqQazTCeJpLdLLKWxzAWIfsLASvAHvwAvQKi8rOp6VPWtO1vxm/3+z9t7PA180yZ7JZALrfBh2Zn/nAwAAsIX4BgCATcQ3AABsIr4BAGAT8Q0AAJuIbwAA2ER8AwDAJuIbAAA2Ed8AALCJ+AYAgE3ENwAAbCK+AQBg... | If the height of a rectangular cuboid is increased by 4 cm, it becomes a cube. What is the shape of the base of this rectangular cuboid? ( ) | A. Square; B. Rectangle; C. Parallelogram; D. Cannot be determined; E. No correct answer | A |
109 | iVBORw0KGgoAAAANSUhEUgAAAt8AAAIpCAYAAAB6wVTAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACMzSURBVHhe7d2xit171cdhbyDF22qnECurI9YpBKuAnXBqQazTCeJpLdLLKWxzAWIfsLASvAHvwAvQKi8rOp6VPWtO1vxm/3+z9t7PA180yZ7JZALrfBh2Zn/nAwAAsIX4BgCATcQ3AABsIr4BAGAT8Q0AAJuIbwAA2ER8AwDAJuIbAAA2Ed8AALCJ+AYAgE3ENwAAbCK+AQBg... | The base of a rectangular cuboid is a square. If the height of the rectangular cuboid is increased by 4 cm, and its surface area also increases by 128 cm², what is the side length of the base of the rectangular cuboid in cm? | A. 12; B. 8; C. 6; D. 4; E. No correct answer | B |
110 | iVBORw0KGgoAAAANSUhEUgAAAsEAAAJDCAYAAADqycmnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACaVSURBVHhe7d2xitzn9cdh34AKt0n3NyhVKpnUKgyuBOkMqgPBtTpDiFsX6o2LtLqA4F7gIlXAN+A78AU4lf45siY++u0Z7czu/t73zLzPA18caWdXsoxOPgyzux+9AQCAxYhgAACWI4IBAFiOCAYAYDkiGACA5YhgAACWI4IBAFiOCAYAYDkiGACA5YhgAACWI4IBAFiOCAYA... | A rectangular cuboid with a square base, if its height is increased by 4 cm, it becomes a cube. What is the original surface area of the rectangular cuboid in cm²? | A. 512; B. 64; C. 128; D. 256; E. No correct answer | D |
111 | iVBORw0KGgoAAAANSUhEUgAAAt8AAAIpCAYAAAB6wVTAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACMzSURBVHhe7d2xit171cdhbyDF22qnECurI9YpBKuAnXBqQazTCeJpLdLLKWxzAWIfsLASvAHvwAvQKi8rOp6VPWtO1vxm/3+z9t7PA180yZ7JZALrfBh2Zn/nAwAAsIX4BgCATcQ3AABsIr4BAGAT8Q0AAJuIbwAA2ER8AwDAJuIbAAA2Ed8AALCJ+AYAgE3ENwAAbCK+AQBg... | A rectangular cuboid, if its height is increased by 4 cm, becomes a cube. At this point, the surface area is increased by 128 cm² compared to the original. What was the original surface area of the rectangular cuboid in square centimeters? | A. 512; B. 64; C. 128; D. 256; E. No correct answer | D |
112 | iVBORw0KGgoAAAANSUhEUgAAAkwAAAKYCAYAAACBy6f6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAC06SURBVHhe7d0xcyRX9fBhEqocQubwX2UCQgIHhERABpkpEsjAEWRQJBCQOCJ15pCQyLEDPgB8AYovQBUfYd/37NnGrbu3p+dII2m6z/NU3bK1K2kljbrn17dv93zjDQAAFwkmAIAdggkAYIdgAgDYIZgAAHYIJgCAHYIJAGCHYAIA2CGYAAB2CCYAgB2CCQBgh2ACANghmAAA... | The circumference of the circle in the diagram is () cm.(Use π = 3.14) | A. 50.24; B. 3.14; C. 12.56; D. 6.28; E. No correct answer | C |
113 | iVBORw0KGgoAAAANSUhEUgAAAkwAAAKYCAYAAACBy6f6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAC06SURBVHhe7d0xcyRX9fBhEqocQubwX2UCQgIHhERABpkpEsjAEWRQJBCQOCJ15pCQyLEDPgB8AYovQBUfYd/37NnGrbu3p+dII2m6z/NU3bK1K2kljbrn17dv93zjDQAAFwkmAIAdggkAYIdgAgDYIZgAAHYIJgCAHYIJAGCHYAIA2CGYAAB2CCYAgB2CCQBgh2ACANghmAAA... | As shown in the figure, the diagram is the unfolded view of a cylinder. The circumference of each of the two circles in the diagram is 12.56 cm. What is the length of the rectangle in the diagram? ( ) cm | A. 50.24; B. 3.14; C. 12.56; D. 6.28; E. No correct answer | C |
114 | iVBORw0KGgoAAAANSUhEUgAAAkwAAAKYCAYAAACBy6f6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAC06SURBVHhe7d0xcyRX9fBhEqocQubwX2UCQgIHhERABpkpEsjAEWRQJBCQOCJ15pCQyLEDPgB8AYovQBUfYd/37NnGrbu3p+dII2m6z/NU3bK1K2kljbrn17dv93zjDQAAFwkmAIAdggkAYIdgAgDYIZgAAHYIJgCAHYIJAGCHYAIA2CGYAAB2CCYAgB2CCQBgh2ACANghmAAA... | As shown in the figure, the length of the rectangle is 12.56 cm. What is the area of the rectangle in cm²?(Use π = 3.14) | A. 50.24; B. 25.12; C. 12.56; D. 75.36; E. No correct answer | D |
115 | iVBORw0KGgoAAAANSUhEUgAAAkwAAAKYCAYAAACBy6f6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAC06SURBVHhe7d0xcyRX9fBhEqocQubwX2UCQgIHhERABpkpEsjAEWRQJBCQOCJ15pCQyLEDPgB8AYovQBUfYd/37NnGrbu3p+dII2m6z/NU3bK1K2kljbrn17dv93zjDQAAFwkmAIAdggkAYIdgAgDYIZgAAHYIJgCAHYIJAGCHYAIA2CGYAAB2CCYAgB2CCQBgh2ACANghmAAA... | As shown in the figure, the diagram is the unfolded view of a cylinder. What is the lateral surface area of this cylinder?(Use π = 3.14) ( ) cm² | A. 50.24; B. 25.12; C. 12.56; D. 75.36; E. No correct answer | D |
116 | iVBORw0KGgoAAAANSUhEUgAAATUAAADUCAYAAAD9cLSXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB9GSURBVHhe7Z0LdFTVucdtfcQHtK6SFCqwWhvuglZgYcvSXMCaACoipbEXLxG54gM15aGRGyoiFipavOYqtYBZJS3IQ2OFkquxotKbiEECpSVAkDcE5REQAxeQUkPlu/PfmT2cGc5M9kAymX3O/7fWt5LMKzNzzv6db78vEEII8RCUGiHEU1BqhBBPQakRQjwFpUYI8RSUGiHE... | If the height of a cylinder is reduced by 4 centimeters, and the surface area is reduced by 50.24 cm², what is the circumference of the base of the cylinder in centimeters? | A. 50.24; B. 3.14; C. 12.56; D. 6.28; E. No correct answer | C |
117 | iVBORw0KGgoAAAANSUhEUgAAATUAAADUCAYAAAD9cLSXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB9GSURBVHhe7Z0LdFTVucdtfcQHtK6SFCqwWhvuglZgYcvSXMCaACoipbEXLxG54gM15aGRGyoiFipavOYqtYBZJS3IQ2OFkquxotKbiEECpSVAkDcE5REQAxeQUkPlu/PfmT2cGc5M9kAymX3O/7fWt5LMKzNzzv6db78vEEII8RCUGiHEU1BqhBBPQakRQjwFpUYI8RSUGiHE... | As shown in the figure, the perimeter of the base of the solid is 12.56 cm. What is the radius of the base in cm? (Use π = 3.14) | A. 4; B. 3; C. 2; D. 1; E. No correct answer | C |
118 | iVBORw0KGgoAAAANSUhEUgAAAbIAAAFgCAYAAADehfw4AAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnluSkEBoAQSkhN4EASkBpITQQu8INkISIJQYE4KKHV1UcO1iARu6KqJgBcSO2FkEe18sKCjrYsGuvEkBXfeV753vm3v/+8+Z/5w5d24ZADROckSiPFQTgHxhgTg+NJA+JjWNTuoGCCDAxgAEDlciYsbGRgJog+e/27sb0BPaVUeZ1j/7/6tp8fgSLgBILMQZPAk3H+KDAOCVXJG4AACijLeYUiCSYdiAjhgmCPFCGc5S... | As shown in the figure, the circumference of the base of a cylinder is equal to its height. The circumference of the base is 12.56 cm. What is the surface area of the cylinder? (Use π = 3.14) | A. 502.4; B. 251.2; C. 125.6; D. 182.8; E. No correct answer | D |
119 | iVBORw0KGgoAAAANSUhEUgAAATUAAADUCAYAAAD9cLSXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB9GSURBVHhe7Z0LdFTVucdtfcQHtK6SFCqwWhvuglZgYcvSXMCaACoipbEXLxG54gM15aGRGyoiFipavOYqtYBZJS3IQ2OFkquxotKbiEECpSVAkDcE5REQAxeQUkPlu/PfmT2cGc5M9kAymX3O/7fWt5LMKzNzzv6db78vEEII8RCUGiHEU1BqhBBPQakRQjwFpUYI8RSUGiHE... | As shown in the figure, the circumference of the base of a cylinder is equal to its height. If the height is reduced by 4 centimeters, the surface area decreases by 50.24 square centimeters. What was the original surface area of this cylinder? | A. 502.4; B. 251.2; C. 125.6; D. 182.8; E. No correct answer | D |
120 | iVBORw0KGgoAAAANSUhEUgAAAfYAAAC8CAYAAACKX4wCAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACDlSURBVHhe7Z1/bJRVvsb7x6bdhIKEXylITQncwEY2LCk27BbXdgPckttIDURYL7LVKwl0y0oCamVxF+w24LZJNdXU2HshCAikCLiVraFaFbTdivyyYIWSWwu6dS8hG5cYEvzje+c5857pdHqKdJh5533P+3ySJ8q8M+30nDPzvOc850eaEEIIIcQaaOyEEEKIRdDYCSGEEIug... | As shown in the figure, there is a circle enclosed by a wire, and its area is marked in the figure. What is the radius of the circle? (Unit: cm) | A. 5; B. 3; C. 2; D. 1; E. No correct answer | A |
121 | iVBORw0KGgoAAAANSUhEUgAAAfMAAAC9CAYAAACnKpTjAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB5KSURBVHhe7Z1/bNXV3cebzHCXWIEUuqGjC6YmxeAiC3kanvJjtwv61Iy4GshwCFo3TQYrWZMidGw6oGvYUhIw1Wi8zwPRyYQUxT11qa5aHoRRK4NKCiKU56m0PkMlaoA8Ial/fJ77Pv2ey205hVLu/d7vOef9St5R2lt+nHPufX/PeZ/zOXlCCCGEEKuhmRNCCCGWQzMnhBBC... | As shown in the figure, there is a circle enclosed by a wire, with its radius marked in the diagram. What is the circumference of this circle? | A. 10π; B. 3π; C. 2π; D. π; E. No correct answer | A |
122 | iVBORw0KGgoAAAANSUhEUgAAAfQAAAC6CAYAAABY878iAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB48SURBVHhe7Z1/aJRXvsbzhzCC2kpwelfWLFn0koUoblBcqe7dDmi3hdCmKNeura57raBiIZfq6rrbTawr7iVCXLIgdCChq66W7F27ZDFXUyKpvdo0tOo1WY2Gm8W0q73BLrEsgfSP753nzHsmk8lJnJnMvD/O+3zgoTpJ1H7PmXnec57zo0QIIYQQEnho6IQQQogF0NAJIYQQ... | As shown in the figure, a wire is used to form the circle on the left. The same wire, with a length of 10π, can also be used to form the isosceles trapezoid on the right. What is the length of the legs of this trapezoid in π? (Unit: cm) | A. 4; B. 5; C. 3; D. No correct answer | C |
123 | iVBORw0KGgoAAAANSUhEUgAAAhoAAADICAYAAACu0EgrAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACcjSURBVHhe7Z1/bNRV3u/7x6bdRHCNiAG0SU1JiqEbJGjDY3WdbmRXcokMD8QaH3DrYp9gF5/tDXVBXFYekcCmTdAHNjU2W8IKUm9Z696qKGgR0GLlCq2ApcLdCuwuKOExSG5Iun987rzPfM8w0zktM9P5/n6/kneiM9PSOefM9/uec97ncwqEEEIIIcQmaDQIIYQQYhs0GoQQ... | As shown in the figure, there is a circle enclosed by a wire, and its area is as shown. Now, this wire is reformed into an isosceles trapezoid with the top and bottom as shown in the figure. What is the length of the leg of this trapezoid in π? (Unit: cm) | A. 4; B. 5; C. 3; D. No correct answer | C |
124 | iVBORw0KGgoAAAANSUhEUgAAAZEAAAFCCAYAAAAwi+DWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADGsSURBVHhe7Z1tiFXnufdN0takTWg+mCY0phEi1fZ4SA9IKjT0BdLUh9qntiStbdOcQC14Uj/4wfRJqMXkGI9UP5gwoVMZnJZnFKdUzIEBPSqMeOzxBSFRfGQwEYWYYF7QoPkwMP1wP/u3XNe4Zs/as/dee73ca63/D+5MZs9+Wft2reu37ut+m+WEEEKIhEgiQgghEiOJCCGE... | As shown in the figure, a triangular ruler is stacked with three circular paper pieces. What is the relationship between the lengths of the two perpendicular sides of the triangular ruler? | A. Equal; B. Not equal; C. Cannot be determined; D. No correct answer | A |
125 | iVBORw0KGgoAAAANSUhEUgAAAZEAAAFCCAYAAAAwi+DWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADGsSURBVHhe7Z1tiFXnufdN0takTWg+mCY0phEi1fZ4SA9IKjT0BdLUh9qntiStbdOcQC14Uj/4wfRJqMXkGI9UP5gwoVMZnJZnFKdUzIEBPSqMeOzxBSFRfGQwEYWYYF7QoPkwMP1wP/u3XNe4Zs/as/dee73ca63/D+5MZs9+Wft2reu37ut+m+WEEEKIhEgiQgghEiOJCCGE... | As shown in the figure, a right-angled triangle is overlapped with three circular paper pieces. The lengths of the two legs of the triangular ruler are equal. Circles 2 and 3 are identical, and the circumference of circle 1 is 20π cm. What is the radius of circle 2 in cm? | A. 2.5; B. 3; C. 2; D. 5; E. No correct answer | D |
126 | iVBORw0KGgoAAAANSUhEUgAAAZEAAAFECAYAAADm0gPLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADVASURBVHhe7Z19iF3lve/TUjvS1tZSo5ZjelNiG6ERLJWSYqXaylGp3FoavHqM1NL0kFoL84dBbYVINZVj/kgk1lg2TuFOgtObNikMGBK5E3LaYxJy0eRqSKMhgRiJL0RJymVg+sdz92fN+k3W3rNf1l5v+1lrfT/wZLLXfnv22vv5fdbzvsAJIYQQCZFEhBBCJEYSEUIIkRhJ... | As shown in the figure, a right-angled triangle and three circular paper pieces are stacked. The lengths of the two legs of the right-angled triangle are equal. The radius of circle 2 is as shown in the figure. What is the area of circle 2? ( ) cm² | A. 24π; B. 26π; C. 25π; D. No correct answer | C |
127 | iVBORw0KGgoAAAANSUhEUgAAAZEAAAFCCAYAAAAwi+DWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADGsSURBVHhe7Z1tiFXnufdN0takTWg+mCY0phEi1fZ4SA9IKjT0BdLUh9qntiStbdOcQC14Uj/4wfRJqMXkGI9UP5gwoVMZnJZnFKdUzIEBPSqMeOzxBSFRfGQwEYWYYF7QoPkwMP1wP/u3XNe4Zs/as/dee73ca63/D+5MZs9+Wft2reu37ut+m+WEEEKIhEgiQgghEiOJCCGE... | As shown in the figure, a triangular ruler is stacked with three circular paper pieces. Circles 2 and 3 are identical. It is known that the circumference of circle 1 is 20π cm. What is the area of circle 2 in cm²? | A. 24π; B. 26π; C. 25π; D. No correct answer | C |
128 | iVBORw0KGgoAAAANSUhEUgAAAZMAAADRCAYAAAAJ+1+yAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABO3SURBVHhe7d1vaFT3nsfxeVCYhTb0SQcKNtA2LClIoIFFQvOgJ1uIBHygCNqVioGwpQRc5omI5EJzb5u9sFmouT7IhQFlMVKrdxWaRZvcJZJWolndaiBBEkTBjVdzL1Hi5TJwHvS755zfmcnMZJL58ztn5vx5v+BT6JzEP8nkfHLmMxMTAgCAJsoEAKCNMgEAaKNMAADaKBMA... | As shown in the figure, there is an isosceles trapezoid made of wire. This wire can also be used to form a cube frame. The volume of the cube frame is shown in the figure. What is the edge length of the cube? | A. 1cm; B. 5cm; C. 2cm; D. No correct answer | A |
129 | iVBORw0KGgoAAAANSUhEUgAAAZIAAADQCAYAAAAtZecpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABgjSURBVHhe7Z1vaBv5nYcFLehgK/ZNVXp4BQUXXEhD12+CWb/IaBcSDKF1OMi24UIMgZI15FBfCJOm3LpHzPY2BxuvoX4hcF7EZk1zOEddNmv3kFGa88bdXccuNsapSQ6v3dg9lGLDIpgX/d7MaOSR5JEs+Tf6/zzwgfX8kdeSmCe/+cz8xicAAAAKIBIAAFACkQAAgBKIBAAA... | As shown in the figure, there is an isosceles trapezoid made of wire. This piece of wire can also be bent into a square frame on the right. What is the length of the wire? ( ) cm | A. 12 cm; B. 10 cm; C. 8 cm; D. No correct answer | A |
130 | iVBORw0KGgoAAAANSUhEUgAAAZIAAADQCAYAAAAtZecpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABgjSURBVHhe7Z1vaBv5nYcFLehgK/ZNVXp4BQUXXEhD12+CWb/IaBcSDKF1OMi24UIMgZI15FBfCJOm3LpHzPY2BxuvoX4hcF7EZk1zOEddNmv3kFGa88bdXccuNsapSQ6v3dg9lGLDIpgX/d7MaOSR5JEs+Tf6/zzwgfX8kdeSmCe/+cz8xicAAAAKIBIAAFACkQAAgBKIBAAA... | As shown in the figure, a 12 cm long wire is bent into an isosceles trapezoid. What is the length of the legs of the trapezoid in cm? | A. 4; B. 5; C. 2; D. No correct answer | C |
131 | iVBORw0KGgoAAAANSUhEUgAAAZMAAADRCAYAAAAJ+1+yAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABO3SURBVHhe7d1vaFT3nsfxeVCYhTb0SQcKNtA2LClIoIFFQvOgJ1uIBHygCNqVioGwpQRc5omI5EJzb5u9sFmouT7IhQFlMVKrdxWaRZvcJZJWolndaiBBEkTBjVdzL1Hi5TJwHvS755zfmcnMZJL58ztn5vx5v+BT6JzEP8nkfHLmMxMTAgCAJsoEAKCNMgEAaKNMAADaKBMA... | As shown in the figure, there is an isosceles trapezoid made of wire. This wire can also be used to form a right-angled cube frame, and the volume of the cube frame is shown in the figure. What is the length of the legs of the isosceles trapezoid in cm? | A. 4; B. 5; C. 2; D. No correct answer | C |
132 | iVBORw0KGgoAAAANSUhEUgAAAW4AAADCCAYAAABpCyiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABheSURBVHhe7d1xaBvZgcdxQxfmn4r7p/orFRT0h5cGc2tagjn/kYpCnPS2JYHFx4ULCRfuSAzbunDCmJRdU2JKV9C1m6M+dlj3j8as2YT4qGlc6VgbpTnHZreJc0QXZHIO+Owm7qKAcwTB/NHfzdPMSCNp9Cz7KfY86/cpj65kSUbR0zcvo5lRB4iISCsMNxGRZhhuIiLNMNxE... | There are two iron wires of the same length, which are respectively formed into the following cube frame and rectangular cuboid frame. Based on the edge length of the cube frame, what is the length of the iron wire? ( ) | A. 60cm; B. 80cm; C. 100cm; D. No correct answer | A |
133 | iVBORw0KGgoAAAANSUhEUgAAAW4AAADCCAYAAABpCyiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABheSURBVHhe7d1xaBvZgcdxQxfmn4r7p/orFRT0h5cGc2tagjn/kYpCnPS2JYHFx4ULCRfuSAzbunDCmJRdU2JKV9C1m6M+dlj3j8as2YT4qGlc6VgbpTnHZreJc0QXZHIO+Owm7qKAcwTB/NHfzdPMSCNp9Cz7KfY86/cpj65kSUbR0zcvo5lRB4iISCsMNxGRZhhuIiLNMNxE... | There are two iron wires, each 60 cm long, which are respectively formed into the following cube frame and rectangular cuboid frame. What is the height of the rectangular cuboid? | A. 7 cm; B. 8 cm; C. 9 cm; D. No correct answer | A |
134 | iVBORw0KGgoAAAANSUhEUgAAAW0AAAC/CAYAAAA1gI2yAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABp5SURBVHhe7d1faFvZgcdxPRQE0+qpFRRSQUFdVAihNV1MwLOkomAT2i72i4cETAzuDsQ0VFsqXJOHeEo8odHDxC3UCyou3bV3tDNTZ6mWyViwMp7MxPHO1GOX8RibEIHHwbFBAXsogvvQ395z/+ifr47+XP+5x/p94LBrWVJG1vG3x1f3jw9ERKQMRpuISCGMNhGRQhhtIiKF... | There are two iron wires, each 60 cm long, which are respectively formed into the following cube frame and rectangular cuboid frame. What is the volume of the rectangular cuboid in cm³? | A. 114; B. 125; C. 105; D. No correct answer | C |
135 | iVBORw0KGgoAAAANSUhEUgAAAW4AAADCCAYAAABpCyiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABheSURBVHhe7d1xaBvZgcdxQxfmn4r7p/orFRT0h5cGc2tagjn/kYpCnPS2JYHFx4ULCRfuSAzbunDCmJRdU2JKV9C1m6M+dlj3j8as2YT4qGlc6VgbpTnHZreJc0QXZHIO+Owm7qKAcwTB/NHfzdPMSCNp9Cz7KfY86/cpj65kSUbR0zcvo5lRB4iISCsMNxGRZhhuIiLNMNxE... | There are two iron wires of the same length, which are respectively formed into the following cube frame and rectangular cuboid frame. What is the volume of the rectangular cuboid? ( ) cm³ | A. 114; B. 125; C. 105; D. No correct answer | C |
136 | iVBORw0KGgoAAAANSUhEUgAAAloAAAD1CAYAAACIjlv4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABfsSURBVHhe7d1PSJx5gsbxur2nYk91kjoVSx2CLMIiYT1IXQyBZogsuGxAbBCWbiFQc8iKZA4uxJ2DA6NkGRdqyGFXByFNcnAnHYW1sTfjGLKbaBMJJdkIYo+xFwO6LMJ7efZ9q9636i19S0vjrzT1+36GL0xXlaVNhzeP9eethAAAAGAEQwsAAMAQhhYAAIAhDC0AAABDGFoA... | As shown in the figure, rectangle ABCD is formed by a piece of wire. What is the length of side CD? | A. 36cm; B. 12cm; C. 24cm; D. No correct answer | A |
137 | iVBORw0KGgoAAAANSUhEUgAAAlsAAAD4CAYAAADb0iMYAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB8aSURBVHhe7d1vaBz5nefxhgTqyTQEQkNANAR6oAeMIIZDmFPA009kzIUgPXEYg7BB3BGL+NATn0c4EGWRMnBaWIssJy61KBwjMWJn0DzQYls6TkKZ9R+dsx5psWLap7MOnRxZPiSwIDTUg3yvqvv3667u/rXULXeX/vzer/DZnanqf040X32muupXMQEAAEDLULYAAABaiLIF... | As shown in the figure, rectangle ABCD is formed by a piece of wire. If the side CD is cut off to form the cube on the right, what is the edge length of the cube? ( ) | A. 3cm; B. 4cm; C. 5cm; D. No correct answer | A |
138 | iVBORw0KGgoAAAANSUhEUgAAAlwAAAD4CAYAAAA5DjhhAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACfLSURBVHhe7d1hSJx5gufxerHwwMwW92KoV1LsQL1wIcitbyScHOm6F4ZwYVB2cegwkrDuwbSQowbGDZJmx4V4zbULE2eOk6MWj5votWw3ZsHZ2ApnsGfaRDJja9NOMIgebrLGDNWgw1HwvNjfPU/V81Q9VfVUrEosra7/97P8dsanytKeLv/+/D//5/9EBAAAgIaicAEAADQY... | As shown in the figure, rectangle ABCD is formed by a piece of wire. If the side CD is cut off and used to form a cube on the right, what is the volume of the cube? ( ) cm³ | A. 24; B. 52; C. 27; D. No correct answer | C |
139 | iVBORw0KGgoAAAANSUhEUgAAAloAAAD1CAYAAACIjlv4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABfsSURBVHhe7d1PSJx5gsbxur2nYk91kjoVSx2CLMIiYT1IXQyBZogsuGxAbBCWbiFQc8iKZA4uxJ2DA6NkGRdqyGFXByFNcnAnHYW1sTfjGLKbaBMJJdkIYo+xFwO6LMJ7efZ9q9636i19S0vjrzT1+36GL0xXlaVNhzeP9eethAAAAGAEQwsAAMAQhhYAAIAhDC0AAABDGFoA... | As shown in the figure, rectangle ABCD is formed by a piece of wire. If the side CD is cut off to form the cube on the right, what is the volume of the cube? ( ) cm³ | A. 24; B. 52; C. 27; D. No correct answer | C |
140 | iVBORw0KGgoAAAANSUhEUgAAAdMAAADyCAYAAAAWeS+KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACpjSURBVHhe7Z1xbBTXve9XSsUiBedFaYygxBKVeTIVQSGiRTxIbuyKJnBf9GJurEJoILSEK+CFd10RQhKSC2lAUGGJ+NInqvgKlAIxeVBI5RZuILULCSauWzAl1HESZRugJQSZCPjD0uaP35vv2Tnj9fp4vbszu3tm/f1IX4H3zO6eGY/Ox2fOmTMRIYQQQogvKFNCCCHEJ5Qp... | As shown in the figure, a circular frame is made of wire. Based on the information in the figure, what is the length of side CD? ( ) | A. 12 cm; B. 8 cm; C. 24 cm; D. No correct answer | A |
141 | iVBORw0KGgoAAAANSUhEUgAAAdQAAADyCAYAAAD0pTTzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACxrSURBVHhe7Z0PbBTX3a63SpRFAiMuiauQYF0qR3Iqf4ggUssC+sWW0gASaoyIAuFCcUpSJZRIvgHC3zakBJFeIwE3rVx1r4yS4ph8pDiV2zhAakpITagTIAnEGLi4AVICCBCgK0sbqb+77+ycnfH62N7dObs7s34f6W3Dntnd2fXxeXz+zJmQEEIIIcQzFCohhBBiAAqVEEII... | As shown in the figure, a circular wire frame is cut at section CD and formed into a cube. What is the edge length of the cube? ( ) | A. 1 cm; B. 2 cm; C. 3 cm; D. No correct answer | A |
142 | iVBORw0KGgoAAAANSUhEUgAAAdQAAADwCAYAAAC5bZX4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADQASURBVHhe7Z0PbBzVve+3KmWjNuYiYCsgrF4qVzJVYkEEtVwCjf1E80eKbp0HCuA2JNSNlLjJfVtRE5yUYkjStHVUxwWun7o8Ry1xYwo4992lMXFau06KHTcl2C2uMUnj4iQ1DnJQjKqVFqm/N7+zc3Zm18fr/TO7M7P+fqSvIHtmvbOzZ89nz8yZczwEAAAAgKyBUAEAAAAL... | As shown in the figure, a circular wire frame is cut at segment CD and formed into a cube. What is the volume of the cube? ( ) cm³ | A. 4; B. 5; C. 1; D. No correct answer | C |
143 | iVBORw0KGgoAAAANSUhEUgAAAdIAAADyCAYAAAD5u0S0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC2MSURBVHhe7Z19bBTXvff3j4hNU5wbEVxBg1taVyIVcUMEQTwhfbCvSEIkpBgRhZQbXhLCI7DIcy0RymsS0sQiV1gFi3tFb7YCpYFCZYp75RQCpOYhLwZKgkkDcQwoTgwtIYgg4A9LG6m/Z79n56xn1sfr3ZnZ3Zn19yN9hdmzLzO7Z89nz5kzZyJCCCGEENdQpIQQQogHKFJC... | As shown in the figure, a circular wire frame is cut at section CD and formed into a cube. What is the volume of the cube? ( ) cm³ | A. 4; B. 5; C. 1; D. No correct answer | C |
144 | iVBORw0KGgoAAAANSUhEUgAAAhcAAAEpCAYAAAAgQQAIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACZcSURBVHhe7d1/aBR5nv/x3i/u9Swkiyw2DDgBoQci6wgRJAgZGAOz4w6EQzmZcYQwchm+OMGFHGvOEReSY3SFb/5wMjku3Lfva/jeOhjGQw/C6JnZTXDc0QnhjNkdT6JijugQHYlDlC8NvX+8v/2priorne5O//h096eqng/4oKnqzo82Vr26XlWfiggAAIBGhAsAAKAV4QIA... | As shown in the figure, quadrilateral GBCD is an isosceles trapezoid with a perimeter of 40cm. What is the length of CD in cm? | A. 10; B. 8; C. 24; D. No correct answer | A |
145 | iVBORw0KGgoAAAANSUhEUgAAAhcAAAEpCAYAAAAgQQAIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABnySURBVHhe7d1NiFznnS/ghgTKCzdkkYaAIgj0ohdGEGUhBFokguBETBgkbrCxQ2ODmAsRMWgWusZ4YWeQMIMCsSYwCre59iIyFkmwFw3yWAspvsGKjbm2RSIaGWMNioJsh3aQsmioLP63TtWpVnWrP6qr3qo6H88DL5FOnepulSt1fn1+533PVAAAJCRcAABJCRcAQFLCBQCQ... | As shown in the figure, quadrilateral GBCD is an isosceles trapezoid, and quadrilateral ABCD is a parallelogram. What is the length of AB in cm? | A. 10; B. 7; C. 8; D. 9; E. No correct answer | A |
146 | iVBORw0KGgoAAAANSUhEUgAAAhcAAAErCAYAAABtiaEDAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB3GSURBVHhe7d1vaBv5ncdxFQrTJ+J6UD3KqoTqgQqLoYZiQg3N+kETwpUSQ9klAbNhDaUxG9BB3azJg7glJnDug6R7XB7o8HF3DjG3xTkQxBvDOaR0nZi0WeeI1ziY+AgJTlKUxc4Dg/rge/ObP7IsS9a/n6SZ37xfMCSaGcl/otV8dj7z+01MAAAANCJcAAAArQgXAABAK8IF... | As shown in the figure, quadrilateral GBCD is an isosceles trapezoid. The lengths of AB and GH are given in the figure. What is the area of triangle GAB in cm²? | A. 24; B. 50; C. 40; D. No correct answer | C |
147 | iVBORw0KGgoAAAANSUhEUgAAAhkAAAEsCAYAAABuRaEIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACpHSURBVHhe7d1/aFRpvufxYuihhDFs38ECQQuENERwhBZEwqYXDQxqM3KJrDjTYuiA7LAGe6k/zNWg0Jmls83eDLQZlw1ssTZ3O8EwDnGh9nYm+aNC2ml/0HPbuG1uNrYYsG1ilCiJfwRq/vjueU49p3KqUkn9yKk6v94veOjOqaqYH3rOp87nnOeJCAAAQA0QMgAAQE0QMgAA... | As shown in the figure, quadrilateral GBCD is an isosceles trapezoid (with a perimeter of 40 cm), and quadrilateral ABCD is a parallelogram. What is the area of triangle GAB in cm²? | A. 24; B. 50; C. 40; D. No correct answer | C |
148 | iVBORw0KGgoAAAANSUhEUgAAAmAAAAEZCAYAAAAwrplEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACwcSURBVHhe7d1/iFX3/edx2xSmLU42S51SyNgNGDA0FhKQMKCQTCuNZW0xrORriyGBZMGvWJBi0BKhgs2mu7OlzbowlAsJrCkKJfGPYb82EQzBb50Ev980YrNiEyIkKWkqJiT+IUz/+Ow8j+cz3rnemTtz77nnnh/PBxx0jtc7o3N+vObz/pzPe0WQJElSrgxgkiRJOTOASZIk... | As shown in the figure, ∠4 in the right triangle is equal to ∠5 in the left triangular ruler. What is the value of ∠4? | A. 45°; B. 60°; C. 120°; D. No correct answer | A |
149 | iVBORw0KGgoAAAANSUhEUgAAAl8AAAEXCAYAAACTXCGBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC3WSURBVHhe7d1/iFRnvufxzmSgZohNZmdsyBCbBDqgTOIwgoQGXTINwRhWhg4MuUnQSUAv9BUD/Yeikh7iYnJltxcmpheaocCB1aBLhgjTTHo0rOL1TpyMd43S44qJm17UYBLphCiXhpo/vluf0+dpT1dXdf166tQ5p94vOGifrq7+Uc8551PP85zn22UAAACIDeELAAAgRoQv... | As shown in the figure, the left triangle is a triangular ruler. What is the measure of angle ∠1 in the right triangle? | A. 55°; B. 45°; C. 65°; D. No correct answer | A |
150 | iVBORw0KGgoAAAANSUhEUgAAAmEAAAEYCAYAAAAUMCHfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC+aSURBVHhe7d1vaFV3vu9xcTrsPjBz2hkDw2iYMumdCCozhSDhKtgMGXUgc1CO4/EWpTLKxSPOJQyKlgojk/EKJw9axwc5wwYLN5UGZtBCOM1RORFP5lbFc9o61ptJ67VQW1pPsYOVS2DPg+/dn5X1iys7e2f/W3uvP/v9gkXNcmfvbbPWXp/8vr/1+y4xAAAANB0hDAAAIAKE... | In the triangle shown in the figure, the degrees of each angle are marked in the diagram. What is the value of ∠2 + ∠3 = ()°? | A. 200; B. 250; C. 260; D. No correct answer | C |
151 | iVBORw0KGgoAAAANSUhEUgAAAmAAAAEZCAYAAAAwrplEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACwcSURBVHhe7d1/iFX3/edx2xSmLU42S51SyNgNGDA0FhKQMKCQTCuNZW0xrORriyGBZMGvWJBi0BKhgs2mu7OlzbowlAsJrCkKJfGPYb82EQzBb50Ev980YrNiEyIkKWkqJiT+IUz/+Ow8j+cz3rnemTtz77nnnh/PBxx0jtc7o3N+vObz/pzPe0WQJElSrgxgkiRJOTOASZIk... | As shown in the figure, ∠4 in the right triangle is equal to ∠5 in the left triangular ruler. What is ∠2 + ∠3 = ()°? | A. 200; B. 250; C. 260; D. No correct answer | C |
152 | iVBORw0KGgoAAAANSUhEUgAAAc8AAADyCAYAAAAr607sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACbGSURBVHhe7d1/SBxp/ifwht2l549tdg4iDCTyDbiHgawwgSCCc2QbgknYcCgTsrNhJILLkpEEemG9RBK+kyOTr+y3v5C4CevOFuOQi57OaDTQFx1dtqU3uyaS20Rv4npmJELGYEwwQYejofaPz9Wn6imt/t3Vdnf9er+GZzf9qK1dXf28qz5V9ZSPAAAAwBSEJwAAgEkITwAA... | In a parallelogram-shaped pool, the shortest path from edge AB to edge CD is 4 meters. Which of the following corresponds to this path? What is its positional relationship with line segments AB and CD? | A. ①, perpendicular; B. ②, intersecting but not perpendicular; C. ②, perpendicular; D. ③, perpendicular; E. No correct answer | C |
153 | iVBORw0KGgoAAAANSUhEUgAAAc8AAADyCAYAAAAr607sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACbGSURBVHhe7d1/SBxp/ifwht2l549tdg4iDCTyDbiHgawwgSCCc2QbgknYcCgTsrNhJILLkpEEemG9RBK+kyOTr+y3v5C4CevOFuOQi57OaDTQFx1dtqU3uyaS20Rv4npmJELGYEwwQYejofaPz9Wn6imt/t3Vdnf9er+GZzf9qK1dXf28qz5V9ZSPAAAAwBSEJwAAgEkITwAA... | The shortest path from side AB to side CD is path ②, and path ② is perpendicular to AB. What is the height of the parallelogram in meters? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | A |
154 | iVBORw0KGgoAAAANSUhEUgAAAc8AAADyCAYAAAAr607sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACbGSURBVHhe7d1/SBxp/ifwht2l549tdg4iDCTyDbiHgawwgSCCc2QbgknYcCgTsrNhJILLkpEEemG9RBK+kyOTr+y3v5C4CevOFuOQi57OaDTQFx1dtqU3uyaS20Rv4npmJELGYEwwQYejofaPz9Wn6imt/t3Vdnf9er+GZzf9qK1dXf28qz5V9ZSPAAAAwBSEJwAAgEkITwAA... | The height of the parallelogram is 4m. What is the area of the parallelogram ABCD shown in the figure in square meters? | A. 12; B. 20; C. 24; D. No correct answer | C |
155 | iVBORw0KGgoAAAANSUhEUgAAAc8AAADyCAYAAAAr607sAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACbGSURBVHhe7d1/SBxp/ifwht2l549tdg4iDCTyDbiHgawwgSCCc2QbgknYcCgTsrNhJILLkpEEemG9RBK+kyOTr+y3v5C4CevOFuOQi57OaDTQFx1dtqU3uyaS20Rv4npmJELGYEwwQYejofaPz9Wn6imt/t3Vdnf9er+GZzf9qK1dXf28qz5V9ZSPAAAAwBSEJwAAgEkITwAA... | A parallelogram-shaped pool has a shortest distance of 4 meters from AB to CD. What is the area of this pool in square meters? | A. 12; B. 20; C. 24; D. No correct answer | C |
156 | iVBORw0KGgoAAAANSUhEUgAAAiUAAADgCAYAAADc1xbFAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2DSURBVHhe7d1/bBTnncdx/1FpKxFfUBJH+eUqkRMZFVCKGrkWJGStEn5I7tVRopIjIdCSnIJFJJ8SQmmSlvyw6MlIwHGST10JdBdcQEmhJ9+F2PSMgJwDR0tAwefaoHAitIYgE5n8YWkr9Xv7fXbGrNePx17j3X125v2SPiLsGJNknp35eHd2vmUCAADgAEoJAABwAqUEAAA4... | As shown in the figure, the isosceles trapezoid on the left is made of wire. What is the length of the wire? ( ) cm? | A. 12; B. 10; C. 8; D. No correct answer | A |
157 | iVBORw0KGgoAAAANSUhEUgAAAiUAAADgCAYAAADc1xbFAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2DSURBVHhe7d1/bBTnncdx/1FpKxFfUBJH+eUqkRMZFVCKGrkWJGStEn5I7tVRopIjIdCSnIJFJJ8SQmmSlvyw6MlIwHGST10JdBdcQEmhJ9+F2PSMgJwDR0tAwefaoHAitIYgE5n8YWkr9Xv7fXbGrNePx17j3X125v2SPiLsGJNknp35eHd2vmUCAADgAEoJAABwAqUEAAA4... | As shown in the figure, the isosceles trapezoid on the left is formed using a 12 cm long wire. This wire can also be used to form the three-dimensional shape on the right. What is the edge length of this three-dimensional shape in cm? | A. 1; B. 2; C. 3; D. No correct answer | A |
158 | iVBORw0KGgoAAAANSUhEUgAAAiYAAADeCAYAAAAJkMsbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACSDSURBVHhe7d0PbFv1vfdxS5vkSRCEJoxAxbpFmRS0EkE1FFUEVvsRNCBFkAoEXS+lYYFHJWolP4JQwthd+JPbMSORwLRIs55Uu0tuw8pSpuxpb8O9jtpuKbkdoRmE3nRV86iUmwYUUDrtsXSQ9n38+/mcxHF+ceI0To7Peb+kj2h8bHerj8/55Pj4fAMCAADgEhQTAADgGhQT... | As shown in the figure, the isosceles trapezoid on the left is formed using a 12 cm long wire. This wire can also be used to form the square on the right. What is the surface area of this square in cm²? | A. 6; B. 12; C. 18; D. No correct answer | A |
159 | iVBORw0KGgoAAAANSUhEUgAAAiUAAADgCAYAAADc1xbFAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2DSURBVHhe7d1/bBTnncdx/1FpKxFfUBJH+eUqkRMZFVCKGrkWJGStEn5I7tVRopIjIdCSnIJFJJ8SQmmSlvyw6MlIwHGST10JdBdcQEmhJ9+F2PSMgJwDR0tAwefaoHAitIYgE5n8YWkr9Xv7fXbGrNePx17j3X125v2SPiLsGJNknp35eHd2vmUCAADgAEoJAABwAqUEAAA4... | As shown in the figure, the isosceles trapezoid on the left is formed with a wire. This wire can also be used to form the square on the right. What is the surface area of this square in cm²? | A. 6; B. 12; C. 18; D. No correct answer | A |
160 | iVBORw0KGgoAAAANSUhEUgAAAUcAAAFhCAYAAADjvGhAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB84SURBVHhe7Z0BbBzVmcdXKtJWLdurgEVF7kpUi7SRUqtERW5UhwZf0hjUiDoiSiiQJtS0IhFUrqibuoSSHolCz0jBcDqrrM7RKQm4JTK9uhcT97AVOJLmQtPkGjf4yNlVCHFM5KAEnVbaSv1u3uysPZ48e9cee7373u8n/VU8s2tQ+r1fZua9N19EAADgGpAjAIAG5AgAoAE5... | As shown in the figure, the following parallelogram is enclosed with wire. What is the length of the wire in cm? | A. 16; B. 12; C. 10; D. No correct answer | A |
161 | iVBORw0KGgoAAAANSUhEUgAAAUcAAAFhCAYAAADjvGhAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB84SURBVHhe7Z0BbBzVmcdXKtJWLdurgEVF7kpUi7SRUqtERW5UhwZf0hjUiDoiSiiQJtS0IhFUrqibuoSSHolCz0jBcDqrrM7RKQm4JTK9uhcT97AVOJLmQtPkGjf4yNlVCHFM5KAEnVbaSv1u3uysPZ48e9cee7373u8n/VU8s2tQ+r1fZua9N19EAADgGpAjAIAG5AgAoAE5... | As shown in the figure, a 16 cm long wire can be used to form the parallelogram above. The same wire can also be used to form the rectangular cuboid below. What is the height of the rectangular cuboid in cm? | A. 1; B. 2; C. 3; D. No correct answer | A |
162 | iVBORw0KGgoAAAANSUhEUgAAAUcAAAFgCAYAAAAo4LvlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACIeSURBVHhe7Z0PbFzVne8tFWkqFetVhekfhVGzciUjRSm1QJGFKalLSYgaQaKgBEGCs+tSETeo8wru4KbbpJBRVIxEQlbytlMZ7WIr5s8mrbwvYcx7Ew1FJlnaxH7E63Ww7CfXIbiVkRy0GmmQ+nv3XJ8Zj6+PfW1fezxz7+cjfRG+d8ZB8Dsf7r3nnPurEAAAmANyBAAwgBwB... | As shown in the figure, a 16 cm long wire can be used to form the parallelogram above. The same wire can also be used to form the cuboid below. What is the surface area of the cuboid? ( ) cm² | A. 6; B. 10; C. 12; D. No correct answer | B |
163 | iVBORw0KGgoAAAANSUhEUgAAAUcAAAFhCAYAAADjvGhAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB84SURBVHhe7Z0BbBzVmcdXKtJWLdurgEVF7kpUi7SRUqtERW5UhwZf0hjUiDoiSiiQJtS0IhFUrqibuoSSHolCz0jBcDqrrM7RKQm4JTK9uhcT97AVOJLmQtPkGjf4yNlVCHFM5KAEnVbaSv1u3uysPZ48e9cee7373u8n/VU8s2tQ+r1fZua9N19EAADgGpAjAIAG5AgAoAE5... | As shown in the figure, a piece of wire can be used to form the parallelogram above. The same piece of wire can also be used to form the rectangular cuboid below. What is the surface area of the rectangular cuboid in cm²? | A. 6; B. 10; C. 12; D. No correct answer | B |
164 | iVBORw0KGgoAAAANSUhEUgAAAWAAAADRCAYAAADygGgoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACddSURBVHhe7Z1/bFRlvv/njw2zydK9iW7NXbQbbrrfVCPNSvxKvFu9WqMIWeOWq4HI2oW72G+WKm5vkKUoFbT06m4nd+wW0uqsJUiR8dJt3R1+tUCh/Citq7RFsLbwZWgFi5qyac03TcY/3t/znHnO9MzMmR/9Oeeceb+Sd2jPc2Y6tOe85sxznuf5OEAIISQlUMCEEJIiKGBC... | There is a trapezoidal pool, and the distance from edge AB to edge CD is 4 meters. Which of the following corresponds to this path? What is its positional relationship with line segments AB and CD? | A. ①, perpendicular; B. ②, intersecting but not perpendicular; C. ②, perpendicular; D. ③, perpendicular; E. No correct answer | C |
165 | iVBORw0KGgoAAAANSUhEUgAAAWAAAADRCAYAAADygGgoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACddSURBVHhe7Z1/bFRlvv/njw2zydK9iW7NXbQbbrrfVCPNSvxKvFu9WqMIWeOWq4HI2oW72G+WKm5vkKUoFbT06m4nd+wW0uqsJUiR8dJt3R1+tUCh/Citq7RFsLbwZWgFi5qyac03TcY/3t/znHnO9MzMmR/9Oeeceb+Sd2jPc2Y6tOe85sxznuf5OEAIISQlUMCEEJIiKGBC... | The shortest path from side AB to side CD is path ②, and path ② is perpendicular to AB. What is the height of the trapezoid in meters? | A. 4; B. 3; C. 2; D. 1; E. No correct answer | A |
166 | iVBORw0KGgoAAAANSUhEUgAAAWAAAADRCAYAAADygGgoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACddSURBVHhe7Z1/bFRlvv/njw2zydK9iW7NXbQbbrrfVCPNSvxKvFu9WqMIWeOWq4HI2oW72G+WKm5vkKUoFbT06m4nd+wW0uqsJUiR8dJt3R1+tUCh/Citq7RFsLbwZWgFi5qyac03TcY/3t/znHnO9MzMmR/9Oeeceb+Sd2jPc2Y6tOe85sxznuf5OEAIISQlUMCEEJIiKGBC... | What is the area of the trapezoid ABCD shown in the figure in square meters? | A. 12; B. 20; C. 24; D. No correct answer | C |
167 | iVBORw0KGgoAAAANSUhEUgAAAWAAAADRCAYAAADygGgoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACddSURBVHhe7Z1/bFRlvv/njw2zydK9iW7NXbQbbrrfVCPNSvxKvFu9WqMIWeOWq4HI2oW72G+WKm5vkKUoFbT06m4nd+wW0uqsJUiR8dJt3R1+tUCh/Citq7RFsLbwZWgFi5qyac03TcY/3t/znHnO9MzMmR/9Oeeceb+Sd2jPc2Y6tOe85sxznuf5OEAIISQlUMCEEJIiKGBC... | A trapezoidal pool has a distance of 4 meters from AB to CD. What is the area of this pool in square meters? | A. 12; B. 20; C. 24; D. No correct answer | C |
168 | iVBORw0KGgoAAAANSUhEUgAAAmIAAADGCAYAAABxROw3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxtSURBVHhe7d1/bBTnmcBxR4my/RFLrcq2FOomrRM5LUEXmgRZcqXEUssPKY2wVEFBQqRxUiVunG6kujRKdaVXKMlZSuMiHdKtRHWqI7iQQhquUIhiahJSqO+ckEIp1AKJEBlTQWXnD6tD4bl9Zuf1jsezu7PjNTvwfj/VnL3zzu46zVvN92ZmZ+sEAAAANUGIAQAA1AghBgAA... | A rectangular sheet of metal has a square cut out from each of its four corners. The side length of each square is () cm. | A. 1 cm; B. 5 cm; C. 2 cm; D. No correct answer | A |
169 | iVBORw0KGgoAAAANSUhEUgAAAmQAAADMCAYAAADdwb8WAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB5cSURBVHhe7d0PjBTl3cDxNRg3/XNJG11LoVfbrubaUhKpSsh7TShJc0qiDaSNLbQXqCjBq9i16UmJb+K9qRR9L7EgSUneTdDmhXIRBNtLuReMR09UvNIXoYVS7AUSBAGbsznMm02Xwu/d3+w8e3Nzs3uze3PMzO73kzy523n2z+n72Pm+s7OzCQEAAECoCDIAAICQEWQAAAAh... | A rectangular piece of iron sheet has a 1cm square cut out from each of its four corners. Then, it is folded to form an open-top rectangular box. What are the length, width, and height of the rectangular box? ( ) | A. 10cm 5cm 1cm; B. 7cm 12cm 1cm; C. 1cm 1cm 1cm; D. No correct answer | A |
170 | iVBORw0KGgoAAAANSUhEUgAAAmMAAADJCAYAAABv0DXcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACePSURBVHhe7d0PbBv1/f9xIxDexiJtAm8dXcY2g8JWKtEBVbQgdZGmlkqwtRoqUClqRwFBRlmYlmUV6Ev2W7PCIrGGSov08xSYvumoKLRs0VoSRLrwpzTrfmkLLV2yqJW6VG1A6ZRskzUzeP/ufb5zzpezYzuX+s55PqS3Et/nfA7009yrn/vc5yICAACAsiGMAQAAlBFhDAAA... | A rectangular piece of iron sheet has a square cut out from each of its four corners. Then, it is folded to form an open-top rectangular cuboid as shown in the figure. What is the base area of the rectangular cuboid? () | A. 50 cm²; B. 100 cm²; C. 10 cm²; D. No correct answer | A |
171 | iVBORw0KGgoAAAANSUhEUgAAAmIAAADGCAYAAABxROw3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABxtSURBVHhe7d1/bBTnmcBxR4my/RFLrcq2FOomrRM5LUEXmgRZcqXEUssPKY2wVEFBQqRxUiVunG6kujRKdaVXKMlZSuMiHdKtRHWqI7iQQhquUIhiahJSqO+ckEIp1AKJEBlTQWXnD6tD4bl9Zuf1jsezu7PjNTvwfj/VnL3zzu46zVvN92ZmZ+sEAAAANUGIAQAA1AghBgAA... | A rectangular sheet of metal has a square with an area of 1 cm² cut out from each of its four corners. It is then folded into an open-top rectangular box. What is the area of the base of the box in cm²? | A. 50 cm²; B. 100 cm²; C. 10 cm²; D. No correct answer | A |
172 | iVBORw0KGgoAAAANSUhEUgAAAgAAAAD1CAYAAAAmuE15AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABq2SURBVHhe7d1vaBz3ncdxPQisH1SQBxUUXEFABQcSczEUY1DAFgSbgDkUKCE2MTG4hVTUhwIVqUnALo3PEB8kbh4Ybg+ZIzIW18M5EMSxAjJuWrvGh/80NT45wgI7RnGMHOw8EGwefG+/s/Nbjcaz/3f+fHfeL5g2ma929ZvfQL6fnZ35qU8AAEDuEAAAAMghAgAAADlEAAAA... | A square metal sheet has a small square cut out from each of its four corners. What is the side length of each small square in cm? | A. 1 cm; B. 5 cm; C. 3 cm; D. 2 cm; E. No correct answer | D |
173 | iVBORw0KGgoAAAANSUhEUgAAAgEAAAD2CAYAAABP7lTpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB2USURBVHhe7d1/iBR3msfxgRU6fziQPzIQNhkQXJiFrLBCCMIsxIEl2XByKCfuKhHDZjmyw+4xC+tNgsslRxTJzR+rJ6xwzSl3URJugv4hZ3ZcTplEjMHgj1uNN6M44CrqBg3j/jHQgX2un+r6ztSU1T+m7f5WPVXvF3w3sZ/u9lvf6s3z6a7q6h4BAACFRAgAAKCgCAEAABQU... | A square metal sheet has a square with a side length of 2 cm cut off from each of its four corners. Then, it is folded to form an open-top cube. What is the edge length of the cube? ( ) cm | A. 1 cm; B. 2 cm; C. 3 cm; D. No correct answer | B |
174 | iVBORw0KGgoAAAANSUhEUgAAAf8AAAD2CAYAAADYiY7CAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACQlSURBVHhe7d1/aBznve9xQQObPyIotAul7kJAAQVcc2MIwqCAo9Mgx5xwkLnBTUyFBe69OKI+bAq6rnDAahsRiP5w3FyqC8uVOUS+0W16lII48bEKMo6Jf+DWsZLoGjU61kGxkeWiBKmEhQn0e+eZnWc1O5r9oZV2dp6Z9wseYu1Xu3rmmWk/8/PZFgEAAIlC+AMAkDCEPwAA... | A square metal sheet has a small square with a side length of 2 cm cut out from each of its four corners. Then, it is folded to form an open-top cube. What is the surface area of the cube? ( ) cm² | A. 8 cm²; B. 16 cm²; C. 24 cm²; D. 32 cm²; E. No correct answer | C |
175 | iVBORw0KGgoAAAANSUhEUgAAAgAAAAD1CAYAAAAmuE15AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABq2SURBVHhe7d1vaBz3ncdxPQisH1SQBxUUXEFABQcSczEUY1DAFgSbgDkUKCE2MTG4hVTUhwIVqUnALo3PEB8kbh4Ybg+ZIzIW18M5EMSxAjJuWrvGh/80NT45wgI7RnGMHOw8EGwefG+/s/Nbjcaz/3f+fHfeL5g2ma929ZvfQL6fnZ35qU8AAEDuEAAAAMghAgAAADlEAAAA... | A square piece of metal has a small square cut out from each of its four corners. It is then folded to form an open-top cube. The surface area of the cube is () cm². | A. 8 cm²; B. 16 cm²; C. 24 cm²; D. 32 cm²; E. No correct answer | C |
176 | iVBORw0KGgoAAAANSUhEUgAAAYIAAADGCAYAAADfRIdHAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB/hSURBVHhe7Z1vbFTXmcb9odIgBRdUMVG7YAnkVK4EVoJKvVYNjUaiSdCixhYoZCkGWsIqWCC5ahxwIYX8Yd3WkYLlqJZ2dokSoLg1tam8jQNZ2XKS2nhRbLNgUQONKyAFggwyfLA0fHj3vmfOGd+xjz3/55577/OTHiXMPXc8c+e+97n3nPect4AAAAD4GhgBAAD4HBgBAAD4... | As shown in the figure, the area of triangle ABE is 4 cm². What is the length of AE? ( ) cm | A. 4; B. 5; C. 2; D. No correct answer | A |
177 | iVBORw0KGgoAAAANSUhEUgAAAYAAAADFCAYAAABdJSXUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACIRSURBVHhe7Z19bFTXmcYttWKQigNbcJUGrAW5lRsFi6AkjlsngCtKQI0Ss6FACCTpgiPihdZV4vCZQgoWqWwtcb1dZzMSVYsdnDXFXbkLwbSmDsRAaMEUjGtg48ZAzIcgMqiyNPzx7n3PnDNzPT6e77lz79znJz0Czz13PL5z3/Oce77eLAIAAOBKYAAAAOBSYAAAAOBSYAAA... | As shown in the figure, the area of quadrilateral AECF is 14 cm². What is the length of CE? ( ) cm | A. 4; B. 5; C. 2; D. No correct answer | A |
178 | iVBORw0KGgoAAAANSUhEUgAAAYIAAADJCAYAAAAuEjWSAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACVDSURBVHhe7Z19bFTXmcb9R8WgFhfUMFUasETktmYFqCCI5a2Tpl5RAmrU2gVB8UKga6gSFySvggOGdCHBXsKCZFg3dZTZpaLYa6dkbbpO49o0pg6xHdYpHyHENbBxQ0jNh0xko8rS5I9373vmnPGd8bHnwzN37p37/KRH4Lnnzse99z3PvefrzSAAAACuBkYAAAAuB0YAAAAu... | The side lengths of parallelogram ABCD are shown in the diagram. What is its area in cm²? | A. 24; B. 16; C. 8; D. No correct answer | A |
179 | iVBORw0KGgoAAAANSUhEUgAAAYIAAADGCAYAAADfRIdHAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB/hSURBVHhe7Z1vbFTXmcb9odIgBRdUMVG7YAnkVK4EVoJKvVYNjUaiSdCixhYoZCkGWsIqWCC5ahxwIYX8Yd3WkYLlqJZ2dokSoLg1tam8jQNZ2XKS2nhRbLNgUQONKyAFggwyfLA0fHj3vmfOGd+xjz3/55577/OTHiXMPXc8c+e+97n3nPect4AAAAD4GhgBAAD4HBgBAAD4... | As shown in the figure, the area of triangle ABE is 4 cm², and the area of trapezoid AECF is 14 cm². What is the area of parallelogram ABCD? | A. 24; B. 16; C. 8; D. No correct answer | A |
180 | iVBORw0KGgoAAAANSUhEUgAAAh0AAAE9CAYAAACvJNBMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADBzSURBVHhe7d1/aJRZvufxGrhQ948OzA5dMGAHGuISwZbbgUYC9o4GJLYgl8ht3O6mg0LcixMUsmCwxWbNpXWFzR/d4oWwW1yFVTHgrA4EdEyzkUz3+ANnWr3TTogtZnFs4g/ikMwfgZo/vlvfJ+dUTsWqSv2u89TzfsG5t+dJVSUmdao+9Tzf8z0xAQAAqANCBwAAqAtCBwAA... | In the isosceles trapezoid ABCD as shown in the figure, what is the length of AC? ( ) cm | A. 3; B. 4; C. 5; D. No correct answer | A |
181 | iVBORw0KGgoAAAANSUhEUgAAAhsAAAE9CAYAAACiOqALAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADQDSURBVHhe7d1/aJvXnudxwcyg+aOGu1BBITEUnMWFNEwNJQSSncRQnAbC4DAlm4aaBJwdek0DXqhJQ8rWQ5MNrBlakz/MrhgHtgkxpJtcMMQ3Dmvj2978IHObZNqMcRLiJU1xfuBc7P5h0Pzx3ef7+DmPjmRJlmTJOo/0fsG5t30sya6ko+ej85zzPTEBAACoIsIGAACoKsIG... | As shown in the figure, there is an isosceles trapezoid ABCD with a parallelogram ABCE inside it. What are the lengths of sides BE and CE, respectively? ( ) cm | A. 3, 5; B. 1, 4; C. 1, 6; D. 1, 8; E. No correct answer | A |
182 | iVBORw0KGgoAAAANSUhEUgAAAhoAAAE6CAYAAABQ/fuNAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADhkSURBVHhe7d1/aJvXnudx/zGggamhAxUMkxoK7uJCGqaGYgzukhqK20AYHG7ItCUhYV2WXpOAF2rS0DD1kGTDjhcab/4wu4IENgkxm7vJBQ9x47I2vr03P8jc1Jk0a5yGeEgT8gvnYpdFoPnju89XOufRkSzZkixZR9L7BQ/39liWHOk5ej7P83zPOU0CAABQIQQNAABQMQQN... | As shown in the figure, there is an isosceles trapezoid ABCD with a triangle BED inside it. What is the perimeter of the triangle? ( ) cm | A. 8; B. 9; C. 6; D. 7; E. No correct answer | A |
183 | iVBORw0KGgoAAAANSUhEUgAAAh0AAAE9CAYAAACvJNBMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADBzSURBVHhe7d1/aJRZvufxGrhQ948OzA5dMGAHGuISwZbbgUYC9o4GJLYgl8ht3O6mg0LcixMUsmCwxWbNpXWFzR/d4oWwW1yFVTHgrA4EdEyzkUz3+ANnWr3TTogtZnFs4g/ikMwfgZo/vlvfJ+dUTsWqSv2u89TzfsG5t+dJVSUmdao+9Tzf8z0xAQAAqANCBwAAqAtCBwAA... | As shown in the figure, an isosceles trapezoid is divided into a parallelogram and a triangle. The perimeter of the triangle is () centimeters. | A. 24; B. 20; C. 18; D. 8; E. No correct answer | D |
184 | iVBORw0KGgoAAAANSUhEUgAAAsMAAAGdCAYAAAD34H5YAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGQ4SURBVHhe7d0HfFPl/sdxLnItjv5F762i3DoualVQhjILyJB1FQREFBQRJ3BF64CKExRccNkyLCIoWwUZyi57K0NAaKlUoKxCCy2UQqH9/vN7mmBak9A0T0rPc77v1+t5oWl7Ts5pmnzy5OSkBIiIiIhsqkQJppA7O+4P3gKIiIjItiT+CjrswC7b6Y4xTERERLZlx/jzhTFM... | As shown in the figure, there is a bottle in an upright position and an inverted position. What are the liquid level height when upright and the air height when inverted, respectively? | A. 6cm, 2cm; B. 1cm, 3cm; C. 1cm, 4cm; D. No correct answer | A |
185 | iVBORw0KGgoAAAANSUhEUgAAAsEAAAGcCAYAAAA4SX3AAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAISxSURBVHhe7Z0FeBVH24b7F74W/QrtBwVaoJTi7u5etLi0uLcUd7eixd3dXQrF3SG4hGAhCRB3T55/3yEnDfQ0IZxzaHbz3L3eKzTZM7s7Z3fm3tmRj0AIIYQQQkgigxJMCCGEEEISHZRgQgghhBCS6KAEE0IIIYSQRAclmBBCCCGEJDoowYQQQgghJNFBCSaEEEIIIYkOSjAh... | As shown in the figure, there is a bottle in an upright position and an inverted position. What are the volumes of the liquid surface when upright and the air volume when inverted, respectively, in cm³? | A. 54π, 18π; B. 60π, 18π; C. 70π, 20π; D. Cannot be determined; E. No correct answer | A |
186 | iVBORw0KGgoAAAANSUhEUgAAAsMAAAGeCAYAAABxdAz2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAJd7SURBVHhe7Z0HfBTV2of5lCsqci33ooAXLCi9996rdKUICIgUAUVARaRJEQQE6dUAgvReAtJL6L23hB5CIAnpfVP+37wnuyGEhbRZyEz+j7/3F9mdnXJ29swzZ95zTiYQQgghhBCSQaEME0IIIYSQDAtlmBBCCCGEZFgow4QQQgghJMNCGSaEEEIIIRkWyjAhhBBCCMmwUIYJ... | The diagram shows an inverted irregular bottle, where the volume of water is v2 and the volume of air is v1 as shown. What is the total volume of the bottle in cm³? | A. 72π; B. 78π; C. 54π; D. No correct answer | A |
187 | iVBORw0KGgoAAAANSUhEUgAAAsMAAAGdCAYAAAD34H5YAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGQ4SURBVHhe7d0HfFPl/sdxLnItjv5F762i3DoualVQhjILyJB1FQREFBQRJ3BF64CKExRccNkyLCIoWwUZyi57K0NAaKlUoKxCCy2UQqH9/vN7mmBak9A0T0rPc77v1+t5oWl7Ts5pmnzy5OSkBIiIiIhsqkQJppA7O+4P3gKIiIjItiT+CjrswC7b6Y4xTERERLZlx/jzhTFM... | As shown in the figure, use a ruler to measure the height of the water when the bottle is upright and the height of the air when the bottle is upside down. What is the volume of the bottle in cm³? | A. 108π; B. 72π; C. 54π; D. No correct answer | B |
188 | iVBORw0KGgoAAAANSUhEUgAAAjMAAADyCAYAAAC4eUT6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABJVSURBVHhe7d0LkJdlvcDxv3bZGqOUZlMzzBMWqUPJ6EnTtEjH4uRRtKOlZll0UpkpyVRKyjwcLyRGXDqSkp7yBh5O4iVRvKwDKqYZoujRvKGEN4I1VhFckd/57/JfWG3VLZ554p3n85l5huV53z/LwH9mv/O87/v8awEAUGFiBgCoNDEDAFSamAEAKk3MAACVJmYAgEoTMwBA... | As shown in the figure, the area of the rectangle below is 48 cm². What is the length of AB in the rectangle? | A. 8 cm; B. 6 cm; C. 10 cm; D. No correct answer | A |
189 | iVBORw0KGgoAAAANSUhEUgAAAjMAAADwCAYAAAD1seXxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABkKSURBVHhe7d0LcFTV4cfxFZQgGlRKQAWkFhVQqSDy9lHUqkhRUBGfSMUX4CN/FFGigGi1FZ/VihjBqkFQVIoIOkGQqkQigigkIAkvCSYEAknIc0P297+7uQtBUKJwbnPnfD8zd8iee7I7CTuz3zn3kYAAAAB8jJgBAAC+RswAAABfI2YAAICvETMAAMDXiBkAAOBrxAwAAPA1... | As shown in the figure, if the rectangle is rotated around the line along AB in the rectangle, what are the height and the radius of the base of the resulting cylinder, respectively? | A. 8cm-6cm; B. 8cm-3cm; C. 4cm-6cm; D. No correct answer | A |
190 | iVBORw0KGgoAAAANSUhEUgAAAgcAAADdCAYAAAAvm9FbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACo1SURBVHhe7Z0PdBX1te+zWsvxFtMHS6JUiKUvuGIr9IVepLGgknWt4BUV3lJARBMvdMmL6Ipd0FAFiQVe1MhFpBj1aLCARY0llXiJgC8xRBFMS0CwFPSCAopIwQZ1pR5q95vv78zvZObMJCQwwMlvvp+19oJMZuacmb2z93d+/yZNCCGEEEIcUBwQQgghxAXFASGEEEJcUBwQ... | What is the volume of the cylinder shown in the figure ( ) cm³? | A. 288π; B. 280π; C. 100π; D. No correct answer | A |
191 | iVBORw0KGgoAAAANSUhEUgAAAjMAAADyCAYAAAC4eUT6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABJVSURBVHhe7d0LkJdlvcDxv3bZGqOUZlMzzBMWqUPJ6EnTtEjH4uRRtKOlZll0UpkpyVRKyjwcLyRGXDqSkp7yBh5O4iVRvKwDKqYZoujRvKGEN4I1VhFckd/57/JfWG3VLZ554p3n85l5huV53z/LwH9mv/O87/v8awEAUGFiBgCoNDEDAFSamAEAKk3MAACVJmYAgEoTMwBA... | As shown in the figure, the area of the rectangle below is 48 cm². If it is rotated one full turn around AB, a three-dimensional shape is formed. What is its volume ( ) cm³? | A. 288π; B. 280π; C. 100π; D. No correct answer | A |
192 | iVBORw0KGgoAAAANSUhEUgAAAhwAAAEACAYAAAD4Aq8BAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAqQSURBVHhe7d09aN3nGcZhbZpMJ01FkwZPGQLFmGowXgICDymFBArGUENpAgEtxgR38GC1g4a2dPBwIJMNJgFnMIkjQxVUij+WVAIHIyNsMHKcBBSwlwNanp4j/SVLsuJUhid++77XBXdA50jO8iD/0MfxSAAAJBMcAEA6wQEApBMcAEA6wQEApBMcAEA6wQEApBMcAEA6wQEA... | As shown in the figure, the area of the rectangle below is 10 cm². What is the width of the rectangle? | A. 2 cm; B. 6 cm; C. 10 cm; D. No correct answer | A |
193 | iVBORw0KGgoAAAANSUhEUgAAAhwAAAEACAYAAAD4Aq8BAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA3uSURBVHhe7d1PaJx3fsdx3eak45yETjrMIejgiwnoYHSxWViCdHFJwKTUl9aQokJFMFlYF2IW6oudi6FD3YvNirI4C4LV2lAZU+KtSQl2iQkCI5fgrOIsMtiXgbl8O3+esfVIYzs1+qLnkV8v+EA8M5rkoN+TN6PReCIAAJIJDgAgneAAANIJDgAgneAAANIJDgAgneAAANIJ... | In the diagram, what is the 3D shape formed by rotating the rectangle around the line L for one full turn? | A. A cylinder with a height of 5 cm and a base radius of 2 cm; B. A cylinder with a height of 2 cm and a base radius of 5 cm; C. A cylinder with a height of 5 cm and a base radius of 4 cm; D. No correct answer | A |
194 | iVBORw0KGgoAAAANSUhEUgAAAh8AAAEBCAYAAADYacenAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAChcSURBVHhe7d0PcFTl/e9xWltC1bQ6mupVMsMdaLEqt9AijUJrU/kptNSBllqKUrDQKQa5v3SGDCiiVEG0+VmgVFNZxapRqDpJ21gQsElTlL8Wwg8plz81HcBGdAIGps2va9vv3e/Z82zOnjyHJGyy57B5v2Y+07p/kpA9ec5nn/Ocs30EAAAgiygfAAAgqygfAAAgqygfAAAg... | As shown in the figure, what is the base area of the cylinder in cm²?(π = 3.14) | A. 12.56; B. 1.56; C. 78.5; D. No correct answer | A |
195 | iVBORw0KGgoAAAANSUhEUgAAAhwAAAEACAYAAAD4Aq8BAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAqQSURBVHhe7d09aN3nGcZhbZpMJ01FkwZPGQLFmGowXgICDymFBArGUENpAgEtxgR38GC1g4a2dPBwIJMNJgFnMIkjQxVUij+WVAIHIyNsMHKcBBSwlwNanp4j/SVLsuJUhid++77XBXdA50jO8iD/0MfxSAAAJBMcAEA6wQEApBMcAEA6wQEApBMcAEA6wQEApBMcAEA6wQEA... | As shown in the figure, a rectangle with an area of 10 cm² is rotated around the line L to form a three-dimensional shape. What is the base area of this three-dimensional shape in cm²?(π = 3.14) | A. 12.56; B. 1.56; C. 78.5; D. No correct answer | A |
196 | iVBORw0KGgoAAAANSUhEUgAAAh8AAAG1CAYAAABZMpbEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAIukSURBVHhe7b0PcFVXfuepSndFqWSordlpbfVMR7NdQxJS5VAVV7IeZ/CWi9pUd1zpSXBNytXpDdXeYXbTIespZieEuJypZqfa2zNDZtuMe0N3q42NG4wAGwzij5FBIP4ICQGWQBIggwRCNkggMBgs+9nus+9z9M7TeVf3PT1J7z2d39Xv4zpl9N557517z++c+73nz/dWGUVR... | The position of point A in the grid is shown in the figure. If point B can be represented by (1, 2), then point A can be represented by the coordinates (). | A. (4, 5); B. (7, 2); C. (2, 2); D. No correct answer | A |
197 | iVBORw0KGgoAAAANSUhEUgAAAiEAAAG1CAYAAAAvCCRPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAJBMSURBVHhe7f0PcFRXnucLKroqRh3dQ2zsTimiOqo1WzF0D73hJmIc3c/jGeqtg9iOcjm6ugfHdHhqK5qw4/Hemyr6+Q290xTFc08Uu2FvzQw9W+a5X1NVKmPjAluACwzij5FBIP4ICQGWQAIkgwAhGwQIm3+WnbbrbH5O5kmdvLqZSkmpzPO7+n0cJ4wyT2aee8/vnPu958/3... | If triangle ABC is translated two units down and then one unit to the right to obtain the new triangle A'B'C', what are the coordinates of point A' after the translation? | A. (2, 3); B. (4, 4); C. (3, 3); D. (5, 3); E. No correct answer | D |
198 | iVBORw0KGgoAAAANSUhEUgAAAiAAAAG6CAYAAAAxnP2kAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAIoVSURBVHhe7b0LbFxHmt9L7GYvk2C0mQWGuYM7KwSBdkZz4VEQA7OGd50Lr4DcmTXuJJCRgbM7iGDjKgl2hJl7lWS1WseLrLJ3nM1CScaKF6uZoS1btmRRD+tFPawXKUoyRYqyTFKkKOpB6kFZT0qmHqbdsqdu/4qnmtWHp8km2U3Wd/j9hILYfaq765z6qup/qur7ToVRFEVR... | After rotating triangle ABC 90 degrees clockwise around point C, the coordinates of point A' are? | A. (11,3); B. (8,4); C. (8,3); D. (12,3); E. No correct answer | A |
199 | iVBORw0KGgoAAAANSUhEUgAAAh8AAAG1CAYAAABZMpbEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAIukSURBVHhe7b0PcFVXfuepSndFqWSordlpbfVMR7NdQxJS5VAVV7IeZ/CWi9pUd1zpSXBNytXpDdXeYXbTIespZieEuJypZqfa2zNDZtuMe0N3q42NG4wAGwzij5FBIP4ICQGWQBIggwRCNkggMBgs+9nus+9z9M7TeVf3PT1J7z2d39Xv4zpl9N557517z++c+73nz/dWGUVR... | As shown in the figure below, triangle ABC is first translated 2 units downwards and then 1 unit to the right to obtain the new triangle A'B'C'. Then, point A'C' is rotated 90° clockwise around point C'. After the rotation, the coordinates of point A' are ( ). | A. (11，3); B. (8，4); C. (8，3); D. (12，3); E. No correct answer | A |
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