If x, m ∈ R, try to compare the size of X Λ 2-m + 1 and 2mx-2m Λ 2 Urgent need

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• 1. M x belongs to R. compare the square of X - x + 1 with the square of - 2m - 2mx
• 2. (X-2) (x + 3) - x ^ 2 + X-7 ratio
• 3. Comparison of a math problem in Senior Two If a > 0, b > 0, then the relation between the power of (a + b) / 2 of P = (AB) and q = a ^ b * B ^ A is
• 4. Given m + 1 / M = 3, find the square of M + 1 / 2 of M Be more reliable. I hope you can write down the process~
• 5. M square - 9 / 4 M-4 × (1 + m square - 8m + 16 / 10m-19) △ M-3 / 1
• 6. Let s be a nonempty subset of real number set R. if x, y belong to s, x + y, X-Y, XY belong to s, then s is called a closed set 1. The set s = {the root of a + B is 3 | a, B is an integer} is a closed set; 2. If s is a closed set, then 0 must belong to s; 3. A closed set must be an infinite set; 4. If s is a closed set, then any set t satisfying s contained in T and R is also a closed set The true proposition is------
• 7. If a + 2B / 2a-b = 9 / 5, then a: B=____ X-1 / X (x-1) = 1 / X if__ If 1 / X-1 / y = 2, then 3x = 5xy-3y / x-xy-y=____
• 8. (1) Quarter y ^ 2-xy + x ^ 2 (2) - A ^ 4 + 2A ^ 2b-b ^ 2 (3) In Polynomials: (1) x ^ 2 + XY + y ^ 2; (2) - x ^ 2 + 2xy-y ^ 2; (3) x ^ 2 + 2xy-y ^ 2; (1-x + quarter x ^ 2), it is () A.（1）（2）（3）B.(2)(3) C.(2)(4) D.(2)(3)(4) Question (1) (2) above is calculation
• 9. Given the set a = {x, XY, X-Y}, B = {0, | x | y}, and a = B, find the value of X, y
• 10. If the set {x, XY, LG (XY)} = {0, | x | y}, then log8 (x2 + Y2)=______ ．
• 11. Let m ∈ R, X ∈ R, compare the size of x2-x + 1 and - 2m2-2mx
• 12. It is known that two straight lines L1: MX + Y - (M + 1) = 0 and L2: x + my-2m = 0. When the value of real number m is taken, the relationship between L1 and L2 is as follows: (1) intersection; (2) coincidence; (3) perpendicularity
• 13. Given the two equations L1: MX + 3Y = 0, L2 "MX + (m-2) y + = 0", when L1 is parallel to and perpendicular to L2, the range of M is calculated
• 14. Given the line L1: MX + Y-1 = 0 and the line L2: x + my-2m = 0, when m = 0, L1 is parallel to L2
• 15. If the line L1: MX + Y - (M + 1) = 0 is parallel to the line L2: x + my-2m = 0, then M=______ ．
• 16. Given two straight lines L1: MX - (2m-3) Y-1 = 0, L2: (2m + 5) x + (M + 6) Y-7 = 0, if L1 / / L2 find the value of M
• 17. If two circles intersect at points a (1,3) and B (m, - 1), and the centers of the two circles are on the straight line x + y + C = 0, then the value of M + C is () A. 0B. 2C. -3D. -1
• 18. As shown in the figure, the circle C: (x-1) 2 + y2 = R2 (R & gt; 1) Let m be the intersection of the circle C and the negative half axis of the x-axis, and let m be the chord Mn of the circle C passing through M, and let its midpoint P just fall on the y-axis. (I) when r = 2, find the coordinates of the point P satisfying the condition; (II) when R ∈ (1, + ∞), find the equation of the locus g of point n; (III) the line L passing through point P (0,2) intersects with the locus g in (II) at two different points E and F, if CE · CF & gt; 0, find the value range of the slope of the line L
• 19. It is known that circle C: x2 + (Y-1) 2 = 5, straight line L: mx-y + 1-m = 0 (1) Judge the position relationship between line L and circle C (2) If the line L intersects the circle C at points a and B, and the length of AB is the smallest, the value of M is obtained It's (Y-2) 2. I was inspired by what I did on the second floor. Is m equal to 1 when Y-2?
• 20. In the plane rectangular coordinate system, P is the moving point on the curve C: y = x / 1 (x > 0) In the plane rectangular coordinate system, P is the moving point on the curve C: y = x / 1 (x > 0), and the intersection of the line L: y = x and the curve C is P0. If AP > = ap0 is constant for any point a on the line L, then the value range of abscissa of point a is 0___ Wrong type of curve C, should be y = 1 / X