问题 填空题

直线y=3x+4关于直线y=x对称的直线的函数解析式是______.

答案

设(x,y)为所求函数解析式上任意点:则关于y=x的对称点为(y,x),∴(y,x)在直线y=3x+4上,代入得:x=3y+4,

∴3y=x-4,

∴y=

1
3
x-
4
3

故答案为:y=

1
3
x-
4
3

阅读理解

The King lived a small house near New York with their child . Sometimes Mr King came back from work very late. When his wife and the child were asleep, he opened the front door of his house with his key and came in very quietly.

But one night when he was coming home late, he lost his key. So when he reached his house , he rang the bell. Nothing happened. He rang it again. Again nothing happened. Nobody moved inside the house. Mr King knocked at the bedroom window. He spoke to his wife, he shouted, but she didn’t wake up. At last he stopped and thought for a minute. Then he began to speak like a small child. “Mum,” he said, “I want to go to the toilet.” He spoke quietly, but at once Mrs King woke up. Then he spoke to her, and she opened the door for him.

小题1:When Mr King came back very late from work and his wife was asleep, he usually came into his house         .

A.with his wife’s help

B.by knocking at the door

C.with his child’s help

D.by opening the door with his key小题2:One night when he found his key lost, he first        .

A.spoke to his wife

B.shouted at his wife

C.rang the bell

D.knocked at the bedroom window小题3:Mrs King woke up because           .

A.she heard the sound of the bell

B.she heard Mr King’s voice

C.she heard a knock at the door

D.she heard the voice “mum” like her child’s小题4:Like a small child, Mr King spoke to his sleeping wife          .

A.loudly

B.in a low voice

C.angrily

D.with tears in his eyes小题5:At last              .

A.Mrs King opened the door for Mr King

B.his child opened the door for Mr King

C.Mr King opened the door by force

D.Mr King opened the door with his wife’s key

单项选择题