Given that the eccentricity of hyperbola is 2, the focus is (4,0), (- 4,0), then what is the hyperbolic equation? Help me if you know
4 x minus 12 y equals 1
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- 1. It is known that the right quasilinear of two hyperbolas is x = 4, the right focus is f (10.0), and the eccentricity is e = 2?
- 2. How to use the definition to find the derivative of LNX,
- 3. The derivative of X + LNX
- 4. 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
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- 6. 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
- 7. If f (x) = | LNX | has three intersections with the function y = KX in the interval (0,3), then the value range of K is
- 8. 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
- 9. 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
- 10. 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
- 11. The standard hyperbolic equation with focus on the x-axis, imaginary axis length of 12 and eccentricity of 54 is () A. x264−y2144=1B. x236−y264=1C. y264−x216=1D. x264−y236=1
- 12. Let the eccentricity of hyperbola be √ 5 / 2 and have a common focus with the square of ellipse x2 / 9 + the square of Y2 / 4 = 1
- 13. It is known that F1F2 is the left and right focus of hyperbola x2 / a2-y2 / B2 = 1 (a > 0, b > 0), the line passing through point F1 and perpendicular to the real axis and the two asymptotes of hyperbola If the coordinate origin o is just the vertical center of △ abf2 (the intersection of the three high lines of the triangle), then the eccentricity of the hyperbola is
- 14. Given that the right focus of the hyperbola x2a2-y25 = 1 is (3,0), then the eccentricity of the hyperbola is equal to () A. 31414B. 324C. 32D. 43
- 15. Let the hyperbola x 2 / 4-y 2 / 9 = 1, f 1F 2 be the two focal points. The point m is on the hyperbola (1) If ∠ f1mf2 = 90 °, calculate the area of △ f1mf2 (2) If ∠ f1mf2 = 60 °, what is the area of △ f1mf2? If ∠ f1mf2 = 120 °, what is the area of △ f1mf2?
- 16. The left and right focal points of hyperbola x2 / a2-y2 / B2 = 1 (a > 0, b > 0) are F1 and F2 respectively. The segment F1F2 is divided into two segments of 3:2 by the point (B / 2,0), which is the eccentricity of hyperbola
- 17. Hyperbola has the same focus as ellipse x square + 2Y square = 20, its asymptote is 3x-y = 0, then hyperbolic equation is?
- 18. It is known that the hyperbolic equation is x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1 (a > O, b > o), and the distance from a focus of hyperbola to an asymptote is √ 5C / 3 to calculate the eccentricity The asymptote equation of hyperbola is y = (± B / a) x, and an asymptote is y = (B / a) x or BX ay = 0 A focus of hyperbola f (C, 0), a ^ 2 + B ^ 2 = C ^ 2 The distance from focus f to an asymptote is: |bc-a*0|/c=b b=√5c/3,9b^2=5c^2 From: A ^ 2 + B ^ 2 = C ^ 2 I know the answer to this question, and then I want to ask why a ^ 2 = 4 / 9C ^ 2
- 19. If x / A + Y / b = 1, the distance from the abscissa A / 3 point to the left focus is greater than the distance from the abscissa A / 3 point to the right guide line, then the eccentricity range of the ellipse is larger
- 20. The maximum distance from the moving point P on the standard ellipse with the focus on the x-axis to the top vertex is equal to the distance from the center of the ellipse to its directrix, and the value range of eccentricity is calculated The maximum distance from the moving point P on the standard ellipse with the focus on the x-axis to the top vertex is equal to the distance from the center of the ellipse to its directrix The upper vertex is (0, b). The range of eccentricity is required!