Let the left and right focus of the ellipse be F1, F2, and if there is a point P on the ellipse, let ∠ f1pf2 = 90, find the value range of E
It's so simple
When the angle f1pf2 reaches the maximum, the point P is at the end of the minor axis
So e = root two of two
That is to say, the value range from two to one is the root of two
RELATED INFORMATIONS
- 1. The range of the square + 2x + 2 of the function y = x + 1 / X is
- 2. The function f (x) = loga (a-ka ^ x) and the domain of definition of function f (x) is a subset of set {X / X & lt; = 1}
- 3. Let f (x) = AX2 + BX + C (a, B, C ∈ R). If x = - 1 is an extreme point of the function y = f (x) ex, then the following image cannot be () A. B. C. D.
- 4. Let f (x) = ax ^ 2 + BX + C. if f (x) = - 1 is an extreme point of F (x) e ^ x, then the following image cannot be the image of y = f (x)? There are 4 pictures, because the level is too low to upload pictures, A. Open up parabola, vertex at (- 1,0), intersects with the positive half axis of y-axis B. open down parabola, vertex at (- 1,0), intersects with the negative half axis of y-axis C. open down parabola, vertex in the first quadrant, intersects with the negative half axis of y-axis (two intersections with X-axis) D. open up parabola, vertex in the third quadrant (two intersections with X-axis)
- 5. F (x) = LNX + x ^ 2 + ax, if f (x) is an increasing function in its domain of definition, how to find the derivative of a-
- 6. F [x] = e ^ ax LNX in the domain of definition is the range of increasing function to find a
- 7. Given the function f (x) = LNX + X & # 178; + ax (a ∈ R), if the function FX is an increasing function in its domain of definition, find the value range of A
- 8. Given function f (x) = INX, G (x) = ax ^ 2 / 2 + BX (a is not equal to 0) 1. If a = - 2, the function H (x) = f (x) - G (x) is an increasing function in its domain of definition, the value range of real number B is obtained 2. Under the conclusion of 1, let function ψ (x) = e ^ (2x) + be ^ x, X ∈ [0, in2], find the minimum value of function ψ (x) (the minimum value is represented by the formula containing B)
- 9. A ^ X and log (a, x) are inverse functions. Why? Who can answer
- 10. The inverse functions of y = log (a) x + 1 and y = log (a) (x + 1) are?
- 11. Using trapezoidal method to calculate the approximate value of definite integral (accurate to 0.0001)
- 12. Use the image of quadratic function to find the square of the approximate root X of the following equation + 5x-3 = 0
- 13. Write a program, (C language) to find the root of the quadratic equation AX + BX + C = 0
- 14. If the slope of an asymptote of the hyperbola whose center is at the origin and focus is on the coordinate axis is 2 / 7, the eccentricity of the hypohyperbola can be calculated
- 15. Solving equations 2A + B = 7 2a-b = 1
- 16. First simplify, then evaluate: (xy-3x ^ 2) - 2 (xy-2x ^ 2-1), where x and y satisfy the condition x + 2 + (Y-1) ^ 2 = 0
- 17. If the derivative value of the function y = x ^ 4 + ax ^ 2-4 / 3A at x = a is 0, what is the constant a
- 18. As shown in Fig. 1, in RT △ ABC, ∠ ACB = 90 °, point 0 is the midpoint of BC, D is the upper moving point of AB, extend do to e, and OE = OD, connect CE (1) As shown in Figure 2, if D is the midpoint of AB, please judge the shape of quadrilateral EDAC and explain the reason; (2) as shown in Figure 3, if ∠ a = 60 ° and ∠ BOD = 30 °, is quadrilateral EDAC isosceles trapezoid? Please explain the reason; (3) if AC = 15, ab = 25, please make the location of point D in Figure 4 to minimize the perimeter of the quadrilateral EDAC, please complete the figure and find out the minimum perimeter of the quadrilateral EDAC
- 19. Given that vectors a and B satisfy the absolute value (a-b) = 1 and B = (3,4), the value range of absolute value a is to seek the help of the great God
- 20. (very simple basic problem) urgent Let x ~ n (5,4), find a such that P {x}