在△ABC中,角ACB=90°,AC=BC,AE是BC边上的中线,过C作CF⊥AE与F,过B作BD⊥BC交CF的延长线于D,说明:AE=C提示:因为角ACF与角DCB互余 角DCB与角BDC互余 所以角ACF等于角BDC 且角DBC等于角ACE等于90度 且 边BC

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 22:31:01
在△ABC中,角ACB=90°,AC=BC,AE是BC边上的中线,过C作CF⊥AE与F,过B作BD⊥BC交CF的延长线于D,说明:AE=C提示:因为角ACF与角DCB互余 角DCB与角BDC互余 所以角ACF等于角BDC 且角DBC等于角ACE等于90度 且 边BC

在△ABC中,角ACB=90°,AC=BC,AE是BC边上的中线,过C作CF⊥AE与F,过B作BD⊥BC交CF的延长线于D,说明:AE=C提示:因为角ACF与角DCB互余 角DCB与角BDC互余 所以角ACF等于角BDC 且角DBC等于角ACE等于90度 且 边BC
在△ABC中,角ACB=90°,AC=BC,AE是BC边上的中线,过C作CF⊥AE与F,过B作BD⊥BC交CF的延长线于D,说明:AE=C
提示:因为角ACF与角DCB互余 角DCB与角BDC互余 所以角ACF等于角BDC 且角DBC等于角ACE等于90度 且 边BC等于AC 所以可证明三角形BCD全等与三角形AEC 所以得出AE等于CD
⊙﹏⊙b 汗为什么都没人回答?、
"谈笑人间散",

在△ABC中,角ACB=90°,AC=BC,AE是BC边上的中线,过C作CF⊥AE与F,过B作BD⊥BC交CF的延长线于D,说明:AE=C提示:因为角ACF与角DCB互余 角DCB与角BDC互余 所以角ACF等于角BDC 且角DBC等于角ACE等于90度 且 边BC
AC=BC,AE是BC中线,CE/AC=1/2,CD垂直AE于F点,∠AEC=∠FEC,所以三角形ACE相似于三角形CFE,CE/CF=AE/AC;
同理因为∠BCD=∠FCE且BD垂直于BC,所以有三角形BDC相似于三角形FEC,CD/BC=CE/CF;
综上,CD/BC=AE/AC,且有BC=AC;所以CD=AE

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你的问题是要求证AE=C? 确定?

#24,这个 你去找老师问吧,就说给他20悬赏分 也许他会很高兴的#24,