问题 解答题
已知4x2+y2-4x-6y+10=0,求(
2
3
x
9x
+y2
x
y3
)-(x2
1
x
-5x
y
x
)的值.
答案

4x2+y2-4x-6y+10=0变形得:

4(x-

1
2
2+(y-3)2=0,

则x-

1
2
=0且y-3=0,

解得:x=

1
2
,y=3,

则原式=(2x

x
+
xy
)-(x
x
-5
xy

=2x

x
+
xy
-x
x
+5
xy

=x

x
+6
xy

=

1
2
×
1
2
+6×
3
2

=

2
4
+3
6

阅读理解与欣赏
单项选择题