It is known that the equation | x | = ax-a has positive roots and no negative roots, and the value range of a is obtained

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• 1. Given that the equation | x | = ax + 1 has a negative root but no positive root, the value range of a is () A. A ≥ 1b. A ＜ 1C. - 1 ＜ a ＜ 1D. A ＞ - 1 and a ≠ 0
• 2. It is known that P and Q are positive integers, and the two roots of the equation 7X2 PX + 2009q = 0 are prime numbers, then p + Q=______ ．
• 3. If M and N are positive integers and the two roots of equation 1 / 2mx ^ 2-1 / 2nx + 1999 = 0 are prime numbers, then 6m ^ 2 + n-1=
• 4. It is known that P and Q are positive integers, and the two roots of the equation 7X2 PX + 2009q = 0 are prime numbers, then p + Q=______ ．
• 5. If both a and B are integers, and the difference of equation AX2 + bx-2008 = 0 is prime, then the value of 3A + B is () A. 100B. 400C. 700D. 1000
• 6. The solution set of absolute value inequality / 2x + 1 / greater than 1 is
• 7. It is known that f (x) is an odd function defined on R, and when x > 0, f (x) = x (X-2), find the analytic expression of F (x). Note (X-2) is an absolute value
• 8. It is known that f (x) is an odd function defined on R. when x ≥ 0, f (x) = x2-2x, then the expression of F (x) on (- ∞, 0) is______ ．
• 9. It is known that the odd function f (x) defined on R satisfies f (x + 4) = - f (x) and is an increasing function in the interval [0,2]. If the equation f (x) = m (M > 0) has four different roots x1, X2, X3, X4 in the interval [- 8,8], then what is X1 + x2 + X3 + X4 equal to
• 10. It is known that the odd function f (x) defined on R satisfies f (x-4) = - f (x) and is an increasing function in the interval [0,2]. If the equation f (x) = m (M > 0) has four different roots x1, X2, X3, X4 in the interval [- 8,8], then X1 + x2 + X3 + X4 =
• 11. Given that the absolute value of equation x = ax + 1 has a negative root but no positive root, then the value range of a is larger |x|=ax+1 When x > = 0, x = ax + 1, according to the meaning of the problem, the equation has no solution (at this time a = 1), or only negative solution (at this time 1-A = 1) When X-1 Finally, it is concluded that: a > = 1 ———————————————————————————— The question is not to say that there are negative roots but no positive roots. Why does the equation have no solution when a = 1 also count in the answer
• 12. It is known that the function y = f (x) is a quadratic function, and f (- 3 / 2 + x) = f (- 3 / 2-x), f (- 3 / 2) = 49, and the difference between the two real roots of the equation f (x) = 0 is equal to 7 Finding the analytic expression of quadratic function
• 13. It is known that the absolute value of K of the polynomial. XY - 4 / 7 (K-2) y to the second power + 5 is a cubic trinomial of. XY. Find the value of K In class. I didn't listen to the teacher carefully. Please elaborate.
• 14. Given the absolute value of x-2y + (X-2) to the second power = 0, then xy = what
• 15. If | x − 2Y | + y + 2 = 0, then the value of XY is______ ．
• 16. There are several sets of integer solutions to the system of equations 2 (x + 2) = XY + 7
• 17. How many sets of integer solutions of equation 2 (2-x) = XY + 1?
• 18. The nonzero integer solution of the equation "1 / x plus 1 / y minus 1 / 2 of xy = 3 / 4" is_____
• 19. Integer solution (x, y) of equation 1 / x + 1 / Y-1 / XY ^ 2 = 3 / 4=____ Indefinite equation,
• 20. Given the equation x2 + (2-k) x + K-2 = 0 about X, two real number roots are X1 and x2. Is there a constant k such that X1 / x2 + x2 / X1 = 3 / 2? If so, find