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PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"Y\", \"xy\": [421, 50]}, {\"id\": \"R\", \"xy\": [75, 108]}, {\"id\": \"S\", \"xy\": [106, 204]}, {\"id\": \"X\", \"xy\": [452, 146]}, {\"id\": \"T\", \"xy\": [264, 75]}, {\"id\": \"Z\", \"xy\": [263, 179]}], \"lines\": [\"RT\", \"ST\", \"RS\", \"ZY\", \"YX\", \"ZX\"], \"circles\": [], \"relations\": [\"Equals(LengthOf(Line(R, T)), x+21)\", \"Equals(LengthOf(Line(X, Z)), 2x-14)\", \"Equals(MeasureOf(Angle(T, R, S)), 4y-10)\", \"Equals(MeasureOf(Angle(Z, X, Y)), 3y+5)\"]}", "style": "rule" }
{ "sample_id": "4238", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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{ "ground_truth": "{\"points\": [{\"id\": \"A\", \"xy\": [37, 165]}, {\"id\": \"B\", \"xy\": [238, 72]}, {\"id\": \"C\", \"xy\": [481, 41]}, {\"id\": \"D\", \"xy\": [415, 165]}, {\"id\": \"E\", \"xy\": [162, 165]}, {\"id\": \"F\", \"xy\": [238, 165]}, {\"id\": \"G\", \"xy\": [401, 51]}], \"lines\": [\"AB\", \"BG\", \"BC\", \"GC\", \"CD\", \"AE\", \"AF\", \"AD\", \"EF\", \"ED\", \"FD\", \"BE\", \"BF\", \"BD\", \"GD\"], \"circles\": [], \"relations\": [\"PointLiesOnLine(G, Line(B, C))\", \"PointLiesOnLine(E, Line(A, F))\", \"PointLiesOnLine(E, Line(A, D))\", \"PointLiesOnLine(F, Line(A, D))\", \"PointLiesOnLine(F, Line(E, D))\", \"Perpendicular(Line(B, G), Line(D, G))\", \"Perpendicular(Line(D, F), Line(B, F))\", \"Perpendicular(Line(C, D), Line(B, D))\", \"Equals(MeasureOf(Angle(D, C, G)), MeasureOf(angle 4))\", \"Equals(MeasureOf(Angle(E, B, A)), MeasureOf(angle 3))\", \"Equals(MeasureOf(Angle(C, D, G)), MeasureOf(angle 6))\", \"Equals(MeasureOf(Angle(E, B, F)), MeasureOf(angle 2))\", \"Equals(MeasureOf(Angle(B, D, G)), MeasureOf(angle 5))\", \"Equals(MeasureOf(Angle(D, B, F)), MeasureOf(angle 1))\", \"Equals(MeasureOf(Angle(B, D, F)), 28)\", \"Equals(MeasureOf(Angle(B, E, F)), 51)\", \"Equals(MeasureOf(Angle(B, A, E)), 25)\", \"Equals(MeasureOf(Angle(D, B, G)), 35)\"]}", "style": "rule" }
{ "sample_id": "794", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"P\", \"xy\": [86, 88]}, {\"id\": \"Q\", \"xy\": [86, 426]}, {\"id\": \"R\", \"xy\": [204, 426]}], \"lines\": [\"PQ\", \"QR\", \"PR\"], \"circles\": [], \"relations\": [\"Perpendicular(Line(P, Q), Line(R, Q))\", \"Equals(LengthOf(Line(P, Q)), 72)\", \"Equals(LengthOf(Line(R, Q)), 25)\"]}", "style": "rule" }
{ "sample_id": "4191", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"Y\", \"xy\": [231, 95]}, {\"id\": \"X\", \"xy\": [106, 267]}, {\"id\": \"Z\", \"xy\": [419, 268]}, {\"id\": \"W\", \"xy\": [165, 423]}, {\"id\": \"H\", \"xy\": [165, 266]}, {\"id\": \"G\", \"xy\": [232, 266]}], \"lines\": [\"YX\", \"XH\", \"XG\", \"XZ\", \"HG\", \"HZ\", \"GZ\", \"WZ\", \"XW\", \"YG\", \"HW\", \"YZ\"], \"circles\": [], \"relations\": [\"PointLiesOnLine(H, Line(X, G))\", \"PointLiesOnLine(H, Line(X, Z))\", \"PointLiesOnLine(G, Line(X, Z))\", \"PointLiesOnLine(G, Line(H, Z))\", \"Perpendicular(Line(Z, G), Line(Y, G))\", \"Perpendicular(Line(X, H), Line(W, H))\"]}", "style": "rule" }
{ "sample_id": "3156", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"X\", \"xy\": [263, 91]}, {\"id\": \"W\", \"xy\": [111, 189]}, {\"id\": \"Y\", \"xy\": [265, 425]}, {\"id\": \"A\", \"xy\": [265, 257]}], \"lines\": [\"WX\", \"XA\", \"XY\", \"AY\"], \"circles\": [\"A\"], \"relations\": [\"PointLiesOnLine(A, Line(X, Y))\", \"PointLiesOnCircle(Y, Circle(A, radius_0_0))\", \"PointLiesOnCircle(X, Circle(A, radius_0_0))\", \"PointLiesOnCircle(W, Circle(A, radius_0_0))\", \"Equals(MeasureOf(Angle(W, X, A)), 57)\"]}", "style": "rule" }
{ "sample_id": "4867", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"C\", \"xy\": [361, 49]}, {\"id\": \"A\", \"xy\": [65, 195]}, {\"id\": \"D\", \"xy\": [361, 196]}, {\"id\": \"B\", \"xy\": [436, 195]}], \"lines\": [\"AC\", \"AD\", \"AB\", \"DB\", \"CD\", \"CB\"], \"circles\": [], \"relations\": [\"PointLiesOnLine(D, Line(A, B))\", \"Perpendicular(Line(A, D), Line(C, D))\", \"Equals(LengthOf(Line(B, D)), 3)\", \"Equals(LengthOf(Line(A, D)), 12)\"]}", "style": "rule" }
{ "sample_id": "4685", "sample_set": "train" }
PGDP5K
[ { "content": "将图片中的几何图形转化为形式化表达的几何元素结构体", "role": "user" } ]
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math
{ "ground_truth": "{\"points\": [{\"id\": \"A\", \"xy\": [60, 64]}, {\"id\": \"B\", \"xy\": [379, 236]}, {\"id\": \"C\", \"xy\": [472, 285]}, {\"id\": \"D\", \"xy\": [472, 65]}], \"lines\": [\"AB\", \"AC\", \"BC\", \"DC\", \"AD\", \"DB\"], \"circles\": [], \"relations\": [\"PointLiesOnLine(B, Line(A, C))\", \"Perpendicular(Line(C, B), Line(D, B))\", \"Perpendicular(Line(C, D), Line(A, D))\", \"Equals(LengthOf(Line(A, D)), 5)\", \"Equals(LengthOf(Line(C, D)), z)\", \"Equals(LengthOf(Line(B, D)), x)\", \"Equals(LengthOf(Line(A, B)), y)\", \"Equals(LengthOf(Line(A, C)), 14)\"]}", "style": "rule" }
{ "sample_id": "1060", "sample_set": "train" }