Thầy giải lại cho em bài tập này với

phamthanhtam1093 · 8 Tháng mười 2012

Bài 3: Cho hình lăng trụ đứng ABC.A'B'C' có AC=a, BC=2a, \{ABC}=120 độ, góc giữa đường thẳng A'C và (ABB'A') bằng 30 độ. M là trung điểm của BB'. Tính khoảng cách giữa 2 đường thắng AM và CC'.
(Trong đáp án giải không được chính xác cho lắm

)

ethitothilm · 9 Tháng mười 2012

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ethitothilm · 9 Tháng mười 2012

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congiomuahe · 9 Tháng mười 2012

Chào bạn!
Mình giải thích thêm cho bạn hiểu nhé!
Tính khoảng cách giữa 2 đường thẳng chéo nhau ta có 2 cách:
+ Cách 1: Dựng đường vuông góc chung
+ Cách 2: Dựng 1 mặt phẳng chứa 1 đường thẳng và // với đường thẳng còn lại:
Bài này sử dụng cách 2:
[TEX]d(CC', AM)=d(CC'; (ABB'A')=d(C; ABB'A')=CH[/TEX]
vì CH vuông góc với mp(ABB'A')
Từ đó bạn chỉ cần tính CH, nhưng hình vẽ cho góc C = 120 độ, nên mình đoán đề bị nhầm.
Còn cách làm hoàn toàn đúng và dễ hiểu.

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Thầy giải lại cho em bài tập này với

phamthanhtam1093

ethitothilm

ethitothilm

ethitothilm

ethitothilm

ethitothilm

congiomuahe

carpinteyroklq

BaiTpeapGaw