如图,AB是圆O的直径,CD切圆O于点C,AD交于圆O点E,当AC满足什么条件时,AD垂直于CD,

学习 时间:2026-10-09 23:29:33 阅读:1129
如图,AB是圆O的直径,CD切圆O于点C,AD交于圆O点E,当AC满足什么条件时,AD垂直于CD,如图,AB是圆O的直径,CD切圆O于点C,AD交于圆O点E,当AC满足什么条件时,AD垂直于CD?

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粗暴的茉莉

2026-10-09 23:29:33

AC是∠BAD的角平分线证明原心是O,连接OC∵CD与圆o相切∴OC⊥CD∵OC=OA∴∠OCA=∠OAC∵AC平分∠BAD∴∠OAC=∠CAD∴∠OCA=∠CAD∴OC//AD∴AD⊥CD

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  • 笑点低的手链
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    2026-10-09 23:29:33

    AC是∠BAD的角平分线证明原心是O,连接OC∵CD与圆o相切∴OC⊥CD∵OC=OA∴∠OCA=∠OAC∵AC平分∠BAD∴∠OAC=∠CAD∴∠OCA=∠CAD∴OC//AD∴AD⊥CD

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