已知函数y=x-1,令x=―4, ―3, ―2, -1, 0, 1, 2, 3, 4,可得函数图象

已知函数yx1,令x=―4, 3, 2, 1, 0, 1, 2, 3, 4,可得函数图象上的九个点,在这九个点中随机取出两个点P1(x1, y1), P2(x2, y2)

1)求P1, P2两点在双曲线xy6上的概率;

2)求P1, P2两点不在同一双曲线xyk(k0)上的概率。

答案

解:(1)函数图象上的九个点分别是:(4,―5)(3,―4)(2,―3)
(
1,―2)(0,―1)(10)(21)(32)(43)     

从九个点中选2个点共有36种,其中在双曲线xy6    

设有:(2,―3)(32),故:P1                 

2P1P2在同一双曲线xyk(k0)的有(3,―4)(43)(2,―3)(32)
(
1,―2)(21)                                    

故:P21                                 

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