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[几何] 问一道作图题

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player1703 Posted 2018-7-12 11:10 |Read mode
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如图, ABCD是正方形, E是AB上一点. 在AD, BC (或它们的延长线) 上求作F, G使得$\triangle$EFG是等边三角形.
请给出尺规作图过程及证明. 如果无法用尺规作出也请给出证明.

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kuing Posted 2018-7-12 11:59
FG 的中点与 AB 构成正三角形

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kuing Posted 2018-7-12 12:08
dfhnjdtgj.gif

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