images listlengths 1 1 | problem stringlengths 13 714 | answer stringlengths 1 169 | id stringlengths 1 4 | choices listlengths 4 4 | ground_truth stringclasses 4 values |
|---|---|---|---|---|---|
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... | <image>As shown in the diagram, AB=16, AC=12, BA is perpendicular to CA. Find the perimeter of △CBA. | 48 | 936 | [
"48",
"29.61",
"360.5",
"51.76"
] | A |
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... | <image>As shown in the diagram, DE=2, DF=3, E bisects segment CD, ABCD is a parallelogram. Find the perimeter of ABCD. | 14 | 6457 | [
"14",
"126.3",
"469.56",
"261.32"
] | A |
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... | <image>As shown in the diagram, OA=2, OC=2, ∠CAO=30°, O is the center of ⊙O, the tangent to ⊙O is DC. Find the length of line CD. | 2*sqrt(3) | 6778 | [
"2*sqrt(3)",
"176.07",
"30.33",
"298.33"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAACT50lEQVR4nOzdd3wU1f7/8TM7u6lACL2DYKFIEQW7I(...TRUNCATED) | "<image>As shown in the diagram, BE=8, DE=4, EC=22, BC⊥AC, BE is perpendicular to DE. Find the len(...TRUNCATED) | 15 | 4067 | [
"15",
"491.13",
"461.67",
"224.44"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAACPhklEQVR4nOzdZ3wUVfv/8TMzuxuS0JsgvYs0QSlSr(...TRUNCATED) | "<image>As shown in the diagram, AB=8, ∠DAE=30°, D is the midpoint of segment AB, AC is perpendic(...TRUNCATED) | 4 | 5112 | [
"4",
"26.77",
"480.43",
"312.08"
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[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAADqgklEQVR4nOzdd3wU1fo/8DMzu5veGymQkEAqhKqgF(...TRUNCATED) | "<image>As shown in the diagram, AC=2*x+9, BD=4*x-5, ∠CAE=42°, ∠DCE=4*y°, ∠EAB=23°, ∠EBD=(...TRUNCATED) | 8 | 1872 | [
"8",
"431.48",
"137.92",
"236.68"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAADmG0lEQVR4nOzdd3wU5fo28GdmdtMb6UAghBBKaCE0R(...TRUNCATED) | "<image>As shown in the diagram, ∠LPM=65°, P is the center of ⊙P, NP is perpendicular to JP. Fi(...TRUNCATED) | 25 | 2829 | [
"25",
"184.59",
"296.67",
"270.28"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAAC3+ElEQVR4nOzdd3yN5//H8es+K8OIEcTe2tp7qxotY(...TRUNCATED) | "<image>As shown in the diagram, ∠GJC=50°, ∠IAH=x°, ∠JLA=72°, IO∥PL, PL is parallel to CN(...TRUNCATED) | 22 | 1626 | [
"22",
"403.26",
"354.86",
"423.23"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAADhNUlEQVR4nOzdd1wU1/c38Dtb6NKkW8AuCsSGWMCGx(...TRUNCATED) | "<image>As shown in the diagram, NM=9, NP=10, QM=8, QP=7, WX=4, QPNM is similar to WZYX. Find the pe(...TRUNCATED) | 17 | 673 | [
"17",
"340.98",
"20.3",
"323.88"
] | A |
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAABAAAAAQACAIAAADwf7zUAAB1OklEQVR4nO3dd5xV9Z0//nPuvTN0QUQRQRRU7F2jg(...TRUNCATED) | "<image>As shown in the diagram, ∠ABC=90°, ∠BCD=1/2∠ABC, ∠DAB=90°. Find the measure of ∠(...TRUNCATED) | 135 | 5148 | [
"135",
"136.74",
"93.32",
"351.33"
] | A |
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