如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.试说明AE=AF.(3)如果BC与DE交
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![如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.试说明AE=AF.(3)如果BC与DE交](/uploads/image/z/2574868-4-8.jpg?t=%E5%A6%82%E5%9B%BE%2CAB%3DAD%2CAC%3DAE%2C%E2%88%A0BAD%3D%E2%88%A0CAE+%281%29%E8%AF%95%E8%AF%B4%E6%98%8E%3A%E2%96%B3ABC%E2%89%8C%E2%96%B3ADE+%EF%BC%882%EF%BC%89%E8%8B%A5%E4%BD%BFAD%E2%8A%A5BC%2CAF%E2%8A%A5DE%2C%E5%9E%82%E8%B6%B3%E4%B8%BAE%E3%80%81F.%E5%A6%82%E5%9B%BE%2CAB%3DAD%2CAC%3DAE%2C%E2%88%A0BAD%3D%E2%88%A0CAE+%281%29%E8%AF%95%E8%AF%B4%E6%98%8E%3A%E2%96%B3ABC%E2%89%8C%E2%96%B3ADE+%EF%BC%882%EF%BC%89%E8%8B%A5%E4%BD%BFAD%E2%8A%A5BC%2CAF%E2%8A%A5DE%2C%E5%9E%82%E8%B6%B3%E4%B8%BAE%E3%80%81F.%E8%AF%95%E8%AF%B4%E6%98%8EAE%3DAF.%EF%BC%883%EF%BC%89%E5%A6%82%E6%9E%9CBC%E4%B8%8EDE%E4%BA%A4)
如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.试说明AE=AF.(3)如果BC与DE交
如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.
如图,AB=AD,AC=AE,∠BAD=∠CAE
(1)试说明:△ABC≌△ADE
(2)若使AD⊥BC,AF⊥DE,垂足为E、F.试说明AE=AF.
(3)如果BC与DE交于点P,试说明PA平分∠BPE
如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.如图,AB=AD,AC=AE,∠BAD=∠CAE (1)试说明:△ABC≌△ADE (2)若使AD⊥BC,AF⊥DE,垂足为E、F.试说明AE=AF.(3)如果BC与DE交
1) ∵ ∠BAD=∠CAE
即 ∠BAD+∠DAC=∠CAE+∠DAC
∴ ∠BAC=∠DAE
又∵ AB=AD,AC=AE
∴ △ABC ≌△ADE
即 △ABC旋转了一个角度
2)∵ △ABC ≌△ADE
即 △ABC旋转了一个角度
现在旋转角度比较大
但是仍然是等高与等底的关系: AF*DE=AE*BC
∴AE=AF
3)∵ △ABC ≌△ADE
即 △ABC旋转了一个角度
作AM⊥BC AN⊥DE
则 AM*BC = AN*DE
∴AM=AN
∴PA平分∠BPE.(角平分线上一点到两边距离相等)