题目内容
如图,在平面直角坐标系中,以O(0,0),A(1,1),B(3,0)为顶点,构造平行四边形,则第四个顶点的坐标可以是______.
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当点C在点C1处时,
∵O(0,0),A(1,1),B(3,0),
∴AO=
,OB=3,
∵要构造平行四边形,
∴AC=OB,BC=OA,
∴C1(4,1);
当点C在点C2处时,
∵O(0,0),A(1,1),B(3,0),
∴C2(-2,1);
同理可得C3(2,-1).
故答案为:(4,1),(-2,1),(2,-1).
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∵O(0,0),A(1,1),B(3,0),
∴AO=
2 |
∵要构造平行四边形,
∴AC=OB,BC=OA,
∴C1(4,1);
当点C在点C2处时,
∵O(0,0),A(1,1),B(3,0),
∴C2(-2,1);
同理可得C3(2,-1).
故答案为:(4,1),(-2,1),(2,-1).
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