It is known that the image of a function y = KX + B passes through a point (- 2,5), and the intersection of the line y = - 3 / 2x + 3 and the Y axis is symmetric about the X axis Find the analytic expression of this function

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• 1. Given y = 2x + if the line y = KX + B is symmetric to the given line about the Y axis, find the values of K and B
• 2. If the line y = x is the tangent of the curve y = x3-3x2 + ax, then a=______ ．
• 3. If the line y = x is the tangent of the curve y = x3-3x2 + ax, then a=______ ．
• 4. RT tomorrow midterm exam this question is the original question, hope to have a concise answer Given that the curve C: y = x3-3x2 + 2x, the line L: y = KX, and the line L and the curve C are tangent to the point (x0, Y0) (x0 ≠ 0), the equation and tangent point coordinates of the line L are obtained
• 5. Find a tangent of the curve y = X3 + 3x2-5, so that the tangent is perpendicular to the straight line 2x-6y + 1 = 0 - (X3 is the third power of X, 3x2 is three times the square of x)
• 6. If the line y = 2x + 1 is a tangent of the curve y = x ^ 3-x-a, find the value of the real number a
• 7. If f (x) = x ^ 3-3x ^ 2-3mx + 4 has a maximum value of 5, find the value of the real number m and the tangent equation of the curve y = f (x) passing through the origin
• 8. If the line y = KX + 4 intersects the circle x ^ 2 + y ^ 2 = 1 or the curve y ^ 2 = x, then the value range of K is?
• 9. Given that hyperbola y = 3x and straight line y = KX + 2 intersect point a (x1, Y1) and point B (X2, Y2), and X12 + X22 = 10, find the value of K
• 10. The maximum range of objective function z = 3x + 2Y is [7,9], then the range of positive real number k is
• 11. As shown in the figure, the left and right fixed points of ellipse C1: x ^ 2 / 4 + y ^ 2 / 3 = 1 are a, B and P respectively, which are a point on the right branch (above the X axis) of hyperbola C2: x ^ 2 / 4-y ^ 2 / 3 = 1 Connecting AP is called C1 to C, connecting Pb and extending the intersection C1 to D, and the areas of △ ACD and △ PCD are equal. Calculate the slope of the straight line PD and the inclination angle of the straight line CD
• 12. Given the hyperbola c1:2x ^ 2-y ^ 2 = 1, let the ellipse c2:4x ^ 2 + y ^ 2 = 1, if M and N are the moving points on C1 and C2 respectively, and OM is perpendicular to on, we prove that: The distance from O to the straight line Mn is a fixed value
• 13. It is known that hyperbola C1 and hyperbola C2: y ^ 2 / 4-x ^ 2 / 9 = 1 have the same asymptote And through the point m (9 / 2, - 1), the standard equation of hyperbola C1 is obtained
• 14. Given that the two intersections of two curves y = KX + 1 and x ^ 2-y-8 = 0 are symmetric about the Y axis, then the coordinates of the two intersections are
• 15. If the intersection of the line y = KX + 2K + 1 and the line y = − 12x + 2 is in the first quadrant, then the value range of K is () A. −12＜k＜12B. −16＜k＜12C. k＞12D. k＞−12
• 16. If f (x) = | LNX | has three intersections with the function y = KX in the interval (0,3), then the value range of K is
• 17. 1. The number of solutions of the equation x ^ 2-x = LNX is 2. Given that the function f (x) = 4 ^ x + k * 2 ^ x + 1 has only one zero point, then the zero point is 1. The number of solutions of the equation x ^ 2-x = LNX is 2. Given that the function f (x) = 4 ^ x + k * (2 ^ x) + 1 has only one zero point, then the zero point is
• 18. Solve the equation LNX = e + 1-x
• 19. Judge the number of real number solutions of the equation f (x) = LNX - (2 / x) Judge the number of real number solutions of the equation f (x) = LNX - (2 / x) Judge the number of real number solutions of the equation f (x) = LNX - (2 / x) = 0
• 20. The derivative of X + LNX