>
数学
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若4x-3y-6z=0,x+2y-7z=0(xyz≠0),则
5
x
2
+2
y
2
−
z
2
2
x
2
−3
y
2
−10
z
2
的值等于( )
A.
−
1
2
B.
−
19
2
C. -15
D. -13
人气:243 ℃ 时间:2019-08-18 01:03:42
解答
由
4x−3y−6z=0
x+2y−7z=0
解得
x=3z
y=2z.
,
代入
5
x
2
+2
y
2
−
z
2
2
x
2
−3
y
2
−10
z
2
=
45
z
2
+8
z
2
−
z
2
18
z
2
−12
z
2
−10
z
2
=-13,
故选D.
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