If we know that one focus of the ellipse is (√ 2,0), and the chord length of the tangent line x = √ 2 is (4 / 3) √ 6, then the elliptic equation is?

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• 1. The chord length passing through the focus of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) and perpendicular to the major axis of the ellipse is
• 2. Given that the chord length perpendicular to the focus of the ellipse is √ 2, how to get (2B ^ 2) / a = √ 2
• 3. The shortest chord length of the focus f (C, 0) passing through the ellipse x2a2 + y2b2 = 1 (a > b > 0) is () A. 2b2aB. 2a2bC. 2c2aD. 2c2b
• 4. How to deduce the elliptic chord length formula? I can't deduce it How to deduce the formula of ellipse chord length Y = KX + B is brought into the elliptic standard equation. X ^ 2 / A ^ 2 + (KX + b) ^ 2 / b ^ 2 = 1, then
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• 11. Given that the straight line m passes through a focal point of the ellipse x ^ 2 / 5 + y ^ 2 / 4 = 1 and is perpendicular to the X axis, the chord length of the straight line m cut by the ellipse is obtained
• 12. What is the area of the triangle formed by the intersection and vertex of the parabola y = - 2x and the straight line y = - 7?
• 13. The vertex coordinates of parabola y = 2 (x-3) square + 1 are
• 14. What is the vertex coordinate of parabola y = (x-1) square + 2
• 15. Quadratic equation There is a rectangular cardboard whose size is 60cm × 80cm, and then a square with equal side length is cut from the four corners of the rectangle The bottom area of the box is 1500cm; Find the side length of the cut square
• 16. A quadratic equation How to calculate (3x-2] ^ 2 = 4 (x-3) ^ 2?
• 17. A math problem (about parabola) Through point a (0, - 1), make a straight line L intersecting parabola y2 = 4x intersecting at two points B and C, and find the trajectory equation of the midpoint P of BC?
• 18. A mathematical problem about parabola Given that the parabola y = AX2 + BX + C passes through the intersection of the straight line y = 3x-4 and the hyperbola y = 4 / x, and the parabola passes through the origin, the analytic solution of the parabola is obtained We already know that the answer is y = - 3x2 + 7x, which means that X2 is the square of X
• 19. Let the parabola y = 4-x & # 178; the intersection point of the parabola y = 3x and the straight line y = 3x be A.B, and the point P moves from a to B on the parabola. (1) find the area of the triangle PAB to be the largest Let y = 4-x & # 178 be A.B. point P moves from a to B on the parabola (1) Find the coordinates of point P when the area of △ PAB is the largest (2) It is proved that the figure enclosed by parabola y = 4-x and line y = 3x is divided into two parts with equal area by line x = a (1) Find the coordinates of point P when the area of △ PAB is the largest. And find out the maximum area 2. Let the straight line y = 2x + B and the parabola y & # 178; = 4x intersect at two points a and B, and the length of the chord AB is 3 √ 5, then calculate the area of △ AOB
• 20. Let the intersection of the parabola y = 4-x2 and the straight line y = 3x be A.B. point P moves from a to B on the arc of the parabola. (1) find the coordinates of point P when the area of the triangle PAB is the largest. (2) prove that the figure enclosed by the parabola y = 4-x2 and the straight line y = 3x is divided into two parts of equal area by the straight line x = a