如圖,在△ABC中,AD⊥BC,BE⊥AC,垂足分別為D、E,AD與BE相交于點(diǎn)F,若BF=AC,求∠ABC的大?。?/h1>
如圖,在△ABC中,AD⊥BC,BE⊥AC,垂足分別為D、E,AD與BE相交于點(diǎn)F,若BF=AC,求∠ABC的大小.
其他人氣:883 ℃時(shí)間:2019-12-14 18:03:27
優(yōu)質(zhì)解答
∵AD⊥BC,BE⊥AC(已知),∴∠ADB=∠ADC=∠BEC=90°(垂直定義),又∵∠AFE=∠BFD(對(duì)頂角相等),∴△AEF∽△BDF(兩對(duì)對(duì)應(yīng)角相等的兩三角形相似),∴∠FAE=∠FBD(相似三角形的對(duì)應(yīng)角相等),在△BFD和△ACD中...
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