问题 填空题

给出下列命题:

(1)幂函数的图象都过点(1,1),(0,0);

(2)幂函数的图象不可能是一条直线;

(3)n=0时,函数y=xn的图象是一条直线;

(4)幂函数y=xn当n>0时,是增函数;

(5)幂函数y=xn当n<0时,在第一象限内函数值随x值的增大而减少.其中正确的命题序号为______.

答案

(1)对于y=x-1,其图象不过(0,0),故可排除(1);

(2)幂函数y=x的图象是一条直线,故可排除(2);

(3)n=0时,函数y=xn的图象不是一条直线(点(0,1)除外),故可排除(3);

(4)幂函数y=x2,在其定义域R上不是增函数,故可排除(4);

(5)幂函数y=xn当n<0时,在第一象限内函数值随x值的增大而减少,正确.

故答案为:(5).

阅读理解
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The text is mainly about some ideas for 5              .
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