1.不等式(x+2)⼀(x^2-3x+2)≥1的解集为? 2.甲:{x|(2x+1)⼀x≤0}乙:x∈{x|log3(2x+1)<0}则甲是乙的

2025-01-07 05:58:26
推荐回答(1个)
回答(1):

1.

(x+2)/(x^2-3x+2)>=1
(x+2)/(x^2-3x+2)-1>=0
(x+2-x^2+3x-2)/(x-1)(x-2)>=0
(-x^2+4x)/(x-1)(x-2)>=0
x(x-4)/(x-1)(x-2)<=0
解得到0<=x<1或22.
甲:(2X+1)/X<=0,得到-1/2<=X<0
乙:0<2X+1<1,得到-1/2所以,甲是乙的必要而不充分条件.选择B