如图所示,在△ABC中,∠A:∠B:∠C=3:5:10,又△A′B′C′≌△ABC,则∠BCA′:∠BCB′等于( )A.1:2B.1:3C.2:3D.1:4
题型:不详难度:来源:
如图所示,在△ABC中,∠A:∠B:∠C=3:5:10,又△A′B′C′≌△ABC,则∠BCA′:∠BCB′等于( )
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027041247-71961.png) |
答案
∵∠A:∠B:∠C=3:5:10, ∴设∠A=3k,∠B=5k,∠C=10k, ∵△A′B′C′≌△ABC, ∴∠A′CB′=∠ACB=10k, 在△ABC中,∠B′CB=∠A+∠B=3k+5k=8k, ∴∠A′CB=∠A′CB′-∠B′CB′=10k-8k=2k, ∴∠BCA′:∠BCB′=2k:8k=1:4. 故选D. |
举一反三
如图,若△ABC≌△DEF,且∠A=80°,∠B=30°,则∠F=______°.
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027041242-79200.png) |
如图,CA⊥BE,且△ABC≌△ADE,则BC与DE的关系是______.
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027041238-11960.png) |
已知△ABC≌△A′B′C′,A与A′,B与B′是对应顶点,△ABC的周长为12cm,AB=3cm,BC=4cm,则A′B′=______cm,B′C′=______cm,A′C′=______cm. |
(1)用同样粗细,同样材料的金属粗线,构成两个全等三角形,如图所示,△ABC和△DEF.已知∠B=∠E,AC的质量为35千克,求DF的质量. (2)若已知圆柱体体积是2πx3+3πx2,底的半径为x,你能求出圆柱体的高吗?
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027041228-19813.png) |
如图,△ABC≌△DEF,求证:AD=BE.
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027041224-92899.png) |
最新试题
热门考点