Let F: X → - x2 + 2x be the mapping from real number set M to real number set n Let F: X → - x2 + 2x be the mapping from real number set M to real number set n. M = n = R, if for real number P ∈ n, there is no corresponding element in M, then the value range of P is determined

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• 1. If three points P (1,1) a (2, - 4) B (x, - 9) are collinear, then x=___ ?
• 2. Given that real numbers x and y satisfy y = √ (the square of 3-x), we can find the range of (y + 1) / (x + 3) and (2x + 2Y)
• 3. If M = {1, m}, n = {2,4}, if M and N = {1,2,4}, then the number of values of real number m is
• 4. It is known that the domain of the function y = LG (4-x) is a, and the set B = {x | x ﹤ a}, if P: X ﹤ 8364; a is a sufficient and unnecessary domain of Q: X ﹤ 8364; B Find the value range of a
• 5. Let P.Q be two nonempty sets of real numbers. Define P + q = {x = │ x = - A + B, a ∈ P, B ∈ Q} if P = {0,1,2} Let P.Q be two nonempty sets of real numbers, and define P + q = {x = │ x = - A + B, a ∈ P, B ∈ Q}. If P = {0,1,2}, q = {- 1,1,6}, the sum of all elements of P + Q is -- Is it to calculate the elements one by one and then sum them up? Is there a simpler way?
• 6. Can we say that the set of all real roots of the equation x ^ 2-2x + 1 = 0 is {1,1}
• 7. According to the first letter given, fill in the blanks with the appropriate words He must be k__ !I can't believe what he said. Parents in the rural a__ seem to support it.
• 8. The seventh letter of English word a is L
• 9. The first letter of three English words is t and the last letter is r
• 10. What's the last letter R and the third letter G? It's five letters
• 11. If a and B are real numbers, prove that a ^ 2 + B ^ 2 is greater than or equal to 1 / 2 (a + b) ^ 2
• 12. We know that a and B are positive real numbers, and a + B = 1, and prove that: [1 + 1 / (a ^ 2)] [1 + 1 / (b ^ 2)] is greater than or equal to 25 fast
• 13. Given that real numbers a and B satisfy a > b, prove: - A ^ 2-A < - B ^ 3-b
• 14. Given a, B, x, y ∈ positive real number, prove (a ^ 2) / x + (b ^ 2) / Y ≥ (a + b) ^ 2 / (x + y)
• 15. a. B is a real number if a After my research, I get a more appropriate answer Let a and B multiply by an integer m to make am + 2
• 16. It is known that a and B are positive real numbers, and it is proved that (a + 1 / b) (B + 1 / b) ≥ 4
• 17. An algorithm for comparing the sizes of two real numbers a and B is as follows: ditto
• 18. If a and B are positive numbers, and a ≠ B, the proof is A2B + B2A > A + B
• 19. If a times 4 / 15 = B divided by 4 / 15 = C, ABC is greater than 0, then (?) is less than (?) is less than (?)
• 20. How to compare the size of real number and imaginary number? For example, if you want to compare the sizes of 1 + 2I and 2, you can compare the modules of two numbers, that is, compare the sizes of 4 + 1 and 4 under the root?