配套习题- 如何利用换元法解方程 -【青果学院】

1/5单选题

难度：

1.用换元法解方程（x²+x）²+2（x²+x）-1=0，若设y=x²+x，则原方程可变形为（）

A	y²+2y+1=0
B	y²-2y+1=0
C	y²+2y-1=0
D	y²-2y-1=0

正确答案：Qw==

PGRpdj7op6PvvJrnlKjmjaLlhYPms5XlsIZ5PXg8c3VwPjI8L3N1cD4reOS7o+WFpeWIsOWOn+aWueeoi++8iHg8c3VwPjI8L3N1cD4reO+8iTxzdXA+Mjwvc3VwPisy77yIeDxzdXA+Mjwvc3VwPit477yJLTE9MDwvZGl2PjxkaXY+5Y2z5Y+v5b6XIHk8c3VwPjI8L3N1cD4rMnktMT0wPC9kaXY+

2/5单选题

难度：

2.用换元法解方程

,若设

，则原方程可化为（）

A	y²+y+12=0
B	y²+y-23=0
C	y²+y-12=0
D	y²+y-34=0

正确答案：Qw==

PGRpdj7op6PvvJrnlLHlt7Lnn6XmlrnnqIvvvIzlvpc8aW1nIHdpZHRoPTIxNCBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9GQy85My9yQkFDRkZNSnZvVHc0bzBhQUFBQ3dDdUpLX2cxMzYucG5nIj4uIDwvZGl2PjxkaXY+5YiZPGltZyB3aWR0aD05NiBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9GQy85My9yQkFDRkZNSnZvVGhkV2ZTQUFBQ0l3SXNHZnM2NjUucG5nIj4uIDxicj7mlYXpgIlDLiA8L2Rpdj4=

3/5单选题

难度：

3.已知实数

满足

则

的值是（）

A
B
C
D

正确答案：Qw==

PGRpdj7op6PvvJrorr54PHN1cD4yPC9zdXA+K3k8c3VwPjI8L3N1cD49dO+8iHTiiaUw77yJ77yM5YiZ5Y6f5pa556iL5Y+v5YyW5Li677yadDxzdXA+Mjwvc3VwPit0LTI9MO+8jDxicj7iiLTvvIh0KzLvvInvvIh0LTHvvIk9MO+8jDxicj7op6PlvpfvvIx0PS0y77yI5LiN5ZCI6aKY5oSP77yM6IiN5Y6777yJ77yM5oiWdD0xLiA8YnI+5pWF6YCJQy4gPC9kaXY+

4/5单选题

难度：

4.解分式方程

时，设

,则原方程变形为（）

A	y²+3y+1=0
B	y²+3y-1=0
C	y²-3y+1=0
D	y²-3y-1=0

正确答案：Qg==

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

5/5单选题

难度：

5.用换元法解分式方程

时，设

，则原方程可化为整式方程为（）

A	y²+3y+2=0
B	y²+2y+3=0
C	y²+2y-3=0
D	y²-3y+2=0

正确答案：RA==

PGRpdj7op6PvvJrorr48aW1nIHdpZHRoPTY4IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzFGLzdEL3JCQUNFMU1KdnNUeXZxYURBQUFDUENFeTB6VTI4Ny5wbmciPu+8jOWImTxpbWcgd2lkdGg9ODUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvRkMvOTQvckJBQ0ZGTUp2c1NBSzZma0FBQUN0Mk5xV0VrMDM4LnBuZyI+77yMPGJyPuS7o+WFpeWOn+aWueeoi+W+lzxpbWcgd2lkdGg9NTkgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvRkMvOTQvckJBQ0ZGTUp2c1N3a0EtNEFBQUI5eTUycy1jODQ5LnBuZyI+77yM5Y2z77yaPGltZyB3aWR0aD0xMTIgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMUYvN0QvckJBQ0UxTUp2c1REZ1NfREFBQUNMaXZDOVQ4MjM2LnBuZyI+PC9kaXY+PGRpdj7mlYXpgIlEPC9kaXY+