9. 如下圖,已知 ∠ABC =90° , AB= 5 , AC= 13 , AD= 5√2 。則下列敘述何者正確?
(A) ∠ADB =60°
(B) ∠ACB = 60°
(C) BC= 14
(D) DC= 7
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統計: A(70), B(37), C(41), D(1246), E(0) #670232
統計: A(70), B(37), C(41), D(1246), E(0) #670232
詳解 (共 3 筆)
#1011056
題目修正為AD=5根號2,即可進行作答
由∠ABC =90°,AB=5,AD=5根號2,可得BD=5,
所以三角形ABD為直角三角形,所以∠ADB =45°......(A)錯
由∠ABC =90°,AB=5,AC=13,可得BC=12......(C)錯
所以sin∠ACB =5/13<(根號3)/2=sin60°,即∠ACB<60°......(B)錯
DC=12=5=7......(D)正確
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