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Quadratic inequality with parameters in high school mathematics
(A) Fifty percent. When A < 2 o'clock, a-2.

In order to compare the size with 1,1(a-2) in the third bracket is rewritten as-1/(2-a).

① when a & ltAt 1,1(2-a) <1,where the solution is x; 1; X ∈ (-∞, 1/(2-a))∨( 1,+∞);

② When a= 1, the formula (1) becomes: (x- 1)? ≧0, and the solution at this time is: x ∈ r;

③ When 1

(b) In B)2005, when a>2 o'clock direction is A-2 > 0, if both sides are divided by (a-2), and the direction of unequal signs remains unchanged, we get: (x-1) [x+1(a-2)] ≦ 0;

The solution at this time is:-1/(a-2) ≦ x ≦1;