已知幂函数y=x~a,其中a为常数,高中只研究a为有理数的情况,不妨设a=p/q(p,q为互质的整数,q≠0),那么幂函数的图象大致共11种:(1)a=0,y=1(x≠0),图略;(2)a=1,y=x,图略;(3)a>1,①p,q为奇数,如图1;②p为偶数,q为奇数,如图2;③p为奇数,q为偶数,如图3; Known power function y = x ~ a, where a is a constant, high school only to study a case of a rational number, may wish to set a = p / q (p, q is an integer, q ≠ 0), then the power of There are 11 kinds of images in general: (1) a = 0, y = 1 (x ≠ 0), sketch omitted; (2) a = 1, y = x, Is odd, as shown in Figure 1; ②p is even, q is odd, as shown in Figure 2; ③p is odd, q is even, as shown in Figure 3;