解关于x的不等式2ax^2-(2a+1)x+1<0.

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解关于x的不等式2ax^2-(2a+1)x+1<0.
解关于x的不等式2ax^2-(2a+1)x+1<0.

解关于x的不等式2ax^2-(2a+1)x+1<0.
2ax^2 - (2a +1)x +1 < 0 ==> (2ax - 1)(x -1) < 0 (1) a = 0 -(x - 1) < 0 ==> x -1 > 0 ==> x >1 (2) a > 1/2 (2ax - 1)(x -1) < 0 ==> 1/2a < x < 1 (3) a =1/2 (2ax - 1)(x -1) (x - 1)^2 < 0 x 在实数范围内无解. (4) 0 < a < 1/2 (2ax - 1)(x -1) 1< x < 1/2a (5) a < 0 (2ax - 1)(x -1) x < 1/2a, x > 1