下面是小编为大家整理的指数函数知识点归纳（完整）,供大家参考。
指数函数知识点归纳
本节知识点
1、
（一般的， 如果 x a， 那么 x 叫做 a 的 n 次方根， 其中 n 1, 且 n N*. ）
n
正数的 n 次方根是正数
当 n 是奇数时， 负数的 n 次方根是负数 5 5
正数的 n 次方根有 2 个， 且互为相反数如：
a 0, 则 n 次方根为 当 n 是偶数时，
负数没有偶次方根
0 的任何次方根都是 0
2
当 n a
a, a 0
当 n a a, a 0 3、
分数指数幂
m *n 正分数指数幂的意义 a a 0, m, n N, 且 n 1) m
当 a 为正数时，
1*n 负分数指数幂的意义 a m(a 0, m, n N, 且 n 1) an
当 a 为 0 时， 0 的正分数指数幂等于 0
0 的负分数指数幂无意义
4、
有理指数幂运算性质
①aras ar s(a 0, r, s Q)
rsrs(a) a(a 0, r, s Q)
②
③(ab) r arbr(a 0, b 0, r Q)
5、 指数函数的概念 1
6、 指数函数 x
在底数 a 1 及 0 a 1 这两种情况下的图象和性质：
7、 比较指数或指数幂的大小
（1）
30. 8, 30. 7（2）
1. 70. 8, 0. 92. 3（3）
am an(0 a 1) （4）
am an(a 1)
x8、 指出函数 y 2 与 y () 图象间的关系 （动手画图， 猜想概括）
1
2x
9、 方法总结 2
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