環(huán)球熱資訊!弦切角定理證明3種方法帶圖_弦切角定理
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你們好,最近小活發(fā)現(xiàn)有諸多的小伙伴們對(duì)于弦切角定理證明3種方法帶圖,弦切角定理這個(gè)問(wèn)題都頗為感興趣的,今天小活為大家梳理了下,一起往下看看吧。
1、定理內(nèi)容:頂點(diǎn)C與BC邊上的圓相交,CD與圓相切的角稱(chēng)為正切角(BCD)。那么弦切角BCD等于弧BC對(duì)著的圓周角CAB。
2、輔助線(xiàn):做一個(gè)圓o,C的直徑與C,G,BG相交。
3、因?yàn)榈然〉扔诘冉牵珺AC=CGB。
4、因?yàn)镚BC對(duì)著的弦是直徑,所以GBC=HCD=90。
5、在政治框架CBG中,CBG CGB=BCH=BCD HCD(外角定理)
6、所以CGB=BCD。
7、所以BCD=CAB
8、獲得證書(shū)
以上就是弦切角定理這篇文章的一些介紹,希望對(duì)大家有所幫助。
關(guān)鍵詞: 弦切角定理 感興趣的 這個(gè)問(wèn)題 對(duì)大家有
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