Cho ▲ABC ( A ; BC ) và ( B; AC ) chúng cắt nhau tại C' . Gọi O là giao điểm của BC và AC' . Gọi I là giao điểm của AC và BC' ; K là trung điểm của AB . C/m : I, O, K thẳng hàng .
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\(1,HC=\dfrac{AH^2}{BH}=\dfrac{256}{9}\\ \Rightarrow AB=\sqrt{BH\cdot BC}=\sqrt{\left(\dfrac{256}{9}+9\right)9}=\sqrt{337}\\ 2,BC=\sqrt{AB^2+AC^2}=10\left(cm\right)\\ \Rightarrow BH=\dfrac{AB^2}{BC}=6,4\left(cm\right)\\ 3,AC=\sqrt{BC^2-AB^2}=9\\ \Rightarrow CH=\dfrac{AC^2}{BC}=5,4\\ 4,AC=\sqrt{BC\cdot CH}=\sqrt{9\left(6+9\right)}=3\sqrt{15}\\ 5,AC=\sqrt{BC^2-AB^2}=4\sqrt{7}\left(cm\right)\\ \Rightarrow AH=\dfrac{AB\cdot AC}{BC}=3\sqrt{7}\left(cm\right)\\ 6,AC=\sqrt{BC\cdot CH}=\sqrt{12\left(12+8\right)}=4\sqrt{15}\left(cm\right)\)
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Cho (a2−bc)(b−abc)=(b2−ac)(a−abc);abc≠0;a≠b(a2−bc)(b−abc)=(b2−ac)(a−abc);abc≠0;a≠b
CMR:1a+1b+1c=a+b+c
Đáp án A
Em có: SA ⊥ ABC tại A
=> A là hình chiếu vuông góc của S trên (ABC)
=> AB là hình chiếu vuông góc của SB trên (ABC)
http://truongthhongquang.violet.vn/entry/show/entry_id/7754407