题干

函数y=f(x)的定义域为(﹣a,0)∪(0,a)(0<a<1),其图象上任意一点P(x,y)满足x2+y2=1,则给出以下四个命题:①函数y=f(x)一定是偶函数;②函数y=f(x)可能是奇函数;③函数y=f(x)在(0,a)上单调递增④若函数y=f(x)是偶函数,则其值域为(a2,1)其中正确的命题个数为(   )

A:1个

B:2个

C:3个

D:4个

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答案(点此获取答案解析)

A

同类题3

阅读下列短文,从每题所给的四个选项 A、B、C、D中选出最佳选项。

C

    Rivers are one of our most important natural resources(资源). Many of the world's great cities are located on rivers, and almost every country has at least one river through it that plays an important part in the lives of its people.

    Since the beginning of history, people have used rivers for transportation. The longest one in the United States is the Mississippi. The lifeline of Egypt is the Nile. To the people of India, the Ganges is great, but it is also important for transportation. Ships can travel along it for a thousand miles. Other great rivers are the Congo in Africa and the Mekong in southeastern Asia. The greatest of all for navigation(航海), however, is the Amazon in Brazil. It is so wide and so deep that large ships can go about two thousand miles up it.

    Besides transportation, rivers give food, water to drink, water for crops, and chances for fun and recreation for the people who live along their banks. In order to increase the supply of water for crops, engineers sometimes build a dam(坝) across a river and let a lake form behind the dam. Then people can use the water not only to irrigate(灌溉) their fields but also to make electricity for their homes and industries.

    However, large cities and industries that are located on rivers often cause problems. As the cities grow in size and industries increase, the water in the rivers becomes polluted with chemicals and other materials. People are learning the importance, however, of doing more to keep their rivers clean if they want to enjoy the benefits of them.