阅读下面解题过程，然后解答问题：解方程：x4-x2-6=0设y=x2，则_爱下问搜题

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问题解答题

阅读下面解题过程，然后解答问题：
解方程：x⁴-x²-6=0
设y=x²，则原方程可化为y²-y-6=0，解得：y₁=3，y₂=-2
当y=3时，x2=3，∴x=±

3

；
当y=-2时，x²=-2，原方程无实数根．
∴原方程的解为：x1=

3

， x2=-

3

这种解方程的方法叫“换元法”．
仔细体会这种方法的过程步骤，然后按照上述步骤解下列方程：

x+1

x

-

2x

x+1

=1
设y=

x

x+1

，则原方程可化为关于y的方程：______
解得：y1=



.

， y2=



.


请你将后面的过程补充完整：

答案

设y=

x

x+1

，将y代入原方程得，

1

y

-2y=1

两边同乘y得：1-2y²=y，

解之得：y=-1或y=

1

2

再将两解代入y=

x

x+1

得x有意义．

∴y₁=-1，y₂=

1

2

完形填空

A strong wind was blowing hard, thunder could be heard, and lightning flashed    the dark sky. Rain was pouring down；it looked     heaven had been broken open.
Gleams of light(微弱的闪光) appeared from     of faraway houses, shining like jewels in all the dark.
A    woman dressed in rags(衣衫褴褛) and trembling with cold was    on a lonely road, while the merciless rain was    her without stop.
She knocked at a door, and a    answered it. She begged him to let her stay a while    . The boy    let her into the sitting room and leave her sitting by the fire.
The woman appeared old and tired under the bright electric light,      she was only in her early thirties. She sat       for a moment, and then her eyes began to look about the    . When her eyes rested on the picture of a young man, she    up, looking thunderstruck.
Just then, the boy came with his    . The man at once recognized the woman as his wife. They had     touch with each other during the war,      he thought he had lost her forever.
     words needed to be spoken. They ran into each other’s arms    the boy stared at them，puzzled.
The storm was over and the sky cleared. Feeling very    , the couple stood face to face with their child between them, watching the rain as it gradually    .

B．disappointed

问答题简答题

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