已知4X-3Y-3Z=0和X-3Y-Z=0 ①求x:z②求x:y:z ③求下图
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已知4X-3Y-3Z=0和X-3Y-Z=0 ①求x:z②求x:y:z ③求下图
![](http://img.wesiedu.com/upload/f/26/f26118e67ccc87a9f069c5061deb56bc.jpg)
![](http://img.wesiedu.com/upload/f/26/f26118e67ccc87a9f069c5061deb56bc.jpg)
![已知4X-3Y-3Z=0和X-3Y-Z=0 ①求x:z②求x:y:z ③求下图](/uploads/image/z/18320956-52-6.jpg?t=%E5%B7%B2%E7%9F%A54X-3Y-3Z%3D0%E5%92%8CX-3Y-Z%3D0+%E2%91%A0%E6%B1%82x%EF%BC%9Az%E2%91%A1%E6%B1%82x%EF%BC%9Ay%EF%BC%9Az+%E2%91%A2%E6%B1%82%E4%B8%8B%E5%9B%BE)
1,上文已知条件为一式,二式.
则一式-二式:
3X-2Z=0
3X=2Z
故:X:Z=2:3
2,由1知X=2/3Z
带入二式得:
2/3Z-3Y-Z=0
解得Y=-1/9Z
故:X:Y:Z=2/3Z:-1/9Z:Z
=2/3:-1/9:1
3,由1,2知X=2/3Z ,Y=-1/9Z 代入图为
2/3Z*(-1/9Z)+2*(-1/9Z)*Z
= -----------------------------
2/3Z*2/3Z+(-1/9Z)*(-1/9Z)-z*z
[2/3*(-1/9)+2*(-1/9)]z*z
=-------------------------
(4/9+1/81-1)*z*z
[2/3*(-1/9)+2*(-1/9)]
=---------------------
(4/9+1/81-1)
=6/11
则一式-二式:
3X-2Z=0
3X=2Z
故:X:Z=2:3
2,由1知X=2/3Z
带入二式得:
2/3Z-3Y-Z=0
解得Y=-1/9Z
故:X:Y:Z=2/3Z:-1/9Z:Z
=2/3:-1/9:1
3,由1,2知X=2/3Z ,Y=-1/9Z 代入图为
2/3Z*(-1/9Z)+2*(-1/9Z)*Z
= -----------------------------
2/3Z*2/3Z+(-1/9Z)*(-1/9Z)-z*z
[2/3*(-1/9)+2*(-1/9)]z*z
=-------------------------
(4/9+1/81-1)*z*z
[2/3*(-1/9)+2*(-1/9)]
=---------------------
(4/9+1/81-1)
=6/11
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