问题 填空题

正方形的一组对边增加6厘米,另一组对边减少4厘米,结果得到的长方形与原正方形面积相等,原正方形的面积是______平方厘米.

答案

如图所示,

设原正方形的边长为x厘米,如图,由于正方形ABCD与长方形AEGH面积相等,而长方形AEFD是正方形ABCD和长方形AEGH的

公共部分,所以长方形EBCF的面积等于长方形DFGH的面积,于是

6×(x-4)-4x=0,

6x-24-4x=0,

6x-4x=24,

2x=24,

x=12;

所以原正方形的面积是:

12×12=144(平方厘米).

故答案为:144.

阅读理解

Answer the questions according to the passage you read.

A great French writer said that we should help everyone as much as we can, because we often need help ourselves. Sometimes the small can help the great. And he told the following story.

An ant was drinking by a small river and fell in. She tried her best to reach the bank(岸), but she couldn’t move at all. The poor ant got too tried but was still doing her best. Then a big bird saw her. The bird threw a piece of wood into the water. With it the ant reached the bank again. While she was resting and drying herself on the grass, she heard a man coming up. The man was walking with a gun(枪) in his hand. As soon as he saw the bird, he wanted to kill her. But the ant bit(咬) him on one of his feet and at the moment the bird flew away at once.

The ant saved the bird’s life.

小题1: According to the French writer, we often need help from others, so what should we do?

                                                     

小题2:What does the sentence “we often need help ourselves”?

                                                      

小题3:Why did the ant couldn’t reach the bank when it fell into the river?

                                                      

小题4:Though the poor ant was too tried, what did she do?

                                                      

小题5:请将画线句子翻译成汉语。

                                                       

单项选择题