A typical example of urgently seeking the definition field of abstract function Give some typical examples. Remember to attach the answers

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1. X ^ - 9x + 20 = 0 by factorization
2. The mixed solution of 5x ^ 2 = 4-2x equation is solved by quadratic equation of one variable
3. The parameter equation ellipse 2x square + 3Y square = 6 has the shortest distance to the line 2x + 3y-6 = 0 In the previous steps, I will, d = | 2 √ 3cosa + 3 √ 2sina-6 | / √ (2 ^ 2 + 3 ^ 2) And then I won't Teach me the method Actually, I don't know the auxiliary angle formula! Is it √ A & # 178; + B & # 178; then it must be sin (not COS)?
4. (1) Given that the point P is on the ellipse (X-2) ^ + 2Y ^ = 1, then the maximum value of Y / X is (2) The line L passing through the origin intersects with the curve C: x ^ / 3 + y ^ = 1. If the length of the line L cut by the curve C does not exceed the root 6, then the value range of the inclination angle a of the line L is (3) If the ellipse x ^ / A ^ + y ^ / b ^ = 1 (a > b > 0) passes a certain point (2,1), what is the value range of a
5. Given that the line L: x + 2Y = 0, P is any point on the ellipse x ^ 2 / 4 + y ^ 2 = 1, find the maximum distance between the point P and the line l?
6. Given | x | ≤ 1, | y | ≤ 1, let m = | x + y | + | y + 1 | + | 2y-x-4 |, find the maximum and minimum of M
7. Given a = 2x ^ 2-3xy-y ^ 2, B = - 3Y ^ 2 + 2XY + x ^ 2. Find the value of 2A - (2B + a), where x = y = - 2
8. The square of a quadratic equation x minus 3x-1 is equal to 0 and the square of x plus 2x plus three The square of quadratic equation x minus 3x-1 is equal to 0
9. If the function f (x) = - x ^ 2 + 4x-1, X belongs to [0, t], and the range is [- 1,3], then the real number T is in the range
10. (1－2)×﹙2－3﹚×﹙3－4﹚×﹙4－5﹚×… ×﹙2008－2009﹚×﹙2009－2010﹚＝?
11. I just did a question: Given any function f (x), for any x, y, f (x + y) = f (x) + 2Y (x + y). F (1) = 1, find the analytic expression of F (x) The answer is this Let x = 0, y = 1 Then f (0) = - 1 Re order x=0,y=x Then f (x) = f (0) + 2x (0 + x) So f (x) = 2x ^ 2-1 Look at my assignment again Let x = 1, y = - 1, f(0)=f(1)+0. Why is f (0) = 1 now? Please point out my mistakes or assignment requirements
12. Given the function f (x) = 2mx2-2 (4-m) x + 1, G (x) = MX, if at least one of F (x) and G (x) is positive for any real number x, then the value range of real number m is () A. （0，2）B. （0，8）C. （2，8）D. （-∞，0）
13. Find the range of function y = 3x & # 178; + (1 / 2x & # 178;)
14. If 2F (x) - f (1 / 3) = 3x + 2, find the analytic expression of F (x)
15. 2﹙10-0.5x﹚=-﹙1.5x-2﹚=?4x+3﹙2x-3﹚=12-﹙x+4）=?
16. When doing polynomial multiplication, Xiao Li found that: by using the law of distribution of multiplication to expand the multiplication of polynomials and polynomials, the phenomenon of missing terms may appear after merging the similar terms. Now there is a quadratic trinomial X & # 178; + 2x + 3, which is multiplied by a binomial ax + B, the product does not appear a quadratic term, and the coefficient of the quadratic term is 1, so we can find the value of a and B Why is there no primary term and why is the coefficient of the secondary term 1
17. 3 × 2 + 2x = 12 solution equation
18. Solving the equation: 2x-1 / 3-10x + 1 / 12 = 2x + 1 / 4 Will increase the reward of wealth
19. Solve the equation x + 1 / X-1 + 1-2x / 2x = 0
20. X + y + Z = 35 2x-y = 5 1 / 3 y = 1 / 2 Z