Is it possible to do that without using analysistic method (a coordinate plane)?
更新1:
WITHOUT USING A COORDINATE PLANE!!!
如何證明三條直線相交於一點, 20分
2006-11-17 1:58 am
How to prove the concurrency of three lines?
Is it possible to do that without using analysistic method (a coordinate plane)?
Is it possible to do that without using analysistic method (a coordinate plane)?
回答 (3)
2006-11-17 2:14 am
✔ 最佳答案
角度,因為相交線會有角度,歐幾里德平面幾何,直線可以無限延伸,線同線之間相交,一定會形成交角,....
2006-11-18 1:46 am
找出這些線的equation, 再solve.
It is difficult to do without using analysistuc method.
To avoid using coordinate plane, I think you should use calculus method.
至於在我之上的回答Euclidean的定理是不能夠apply, 因為題目中並沒有說明這三條線是在哪一個vector space.( for example, in 2-dimension or 3-dimension?)
It is difficult to do without using analysistuc method.
To avoid using coordinate plane, I think you should use calculus method.
至於在我之上的回答Euclidean的定理是不能夠apply, 因為題目中並沒有說明這三條線是在哪一個vector space.( for example, in 2-dimension or 3-dimension?)
參考: myself, I am studying Maths in University
2006-11-17 2:10 am
1.先找出其中兩條直線的相交點
2.找該相交點代入第三條直線的equation便知道三條線時否相交放一點
2.找該相交點代入第三條直線的equation便知道三條線時否相交放一點
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