已知△ABC与△A1B1C1,AD⊥BC,A1D1 B1⊥C1,AB/A1B1,CD/C1D1,∠B=∠B1说明相似
问题描述:
已知△ABC与△A1B1C1,AD⊥BC,A1D1 B1⊥C1,AB/A1B1,CD/C1D1,∠B=∠B1说明相似
答
∵AD⊥BC,A1D1 B1⊥C1,∴∠ADB=∠A1D1B1,又∵∠B=∠B1 ∴Rt△ADB∽△A1D1B1 ∴AB :A1B1 = AD :A1D1 而已知AB/A1B1= CD/C1D1 ∴AD :A1D1 = CD/C1D1 ,且∠ADC=∠A1D1C1=90° ∴△ADC=△A1D1C1 ∴∠C=∠C1 而又∵∠B...