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[几何] 求证$I_1O_1I_2O_2$为正方形

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abababa posted 2014-12-18 21:17 |Read mode
$CD$是直角$\triangle ABC$斜边$AB$上的高,$AP,BQ$为角平分线,$I_1,I_2,I$分别为$\triangle ADC,\triangle BCD,\triangle ABC$的内心,$IO_1 \perp AB$于$O_1$,$PQ$与$CD$交于$O_2$,求证$I_1O_1I_2O_2$为正方形
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isee posted 2014-12-18 22:47

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original poster abababa posted 2014-12-21 12:07
回复 2# isee
谢谢,那几个边比值变三角函数真是太妙了。

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