![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
In the rectangular coordinate system, there are four points a (- 6, - 3), B (- 2, - 5), C (0, m), D (n, 0). When the perimeter of the quadrilateral ABCD is the shortest, the values of M and N can be obtained
In short, it is to find out the points c, D and a, which are symmetrical to the x-axis. A1 and B, which are symmetrical to the y-axis, are on the same line!
The coordinates of the symmetric point of point a about X axis are A1 (- 6,3), and the coordinates of the symmetric point of point B about y axis are B1 (2, - 5)
Let the linear equation connecting A1B1 be y = KX + B
The coordinates are substituted into:
3=-6k+b
-5=2k+b
k=-1,b=-3
That is: y = - x-3
The coordinate of the intersection point with X axis is: (- 3,0), that is, point D, then: n = - 3
The coordinates of the intersection point with y axis are: (0, - 3), that is, point C, then: M = - 3
RELATED INFORMATIONS
- 1. 7:35, 2:25, 4:20, 9:08? There are two versions
- 2. There is a detailed process to find the slope of the following lines and the intercept X / 3 + Y / 7 = 1 on the y-axis
- 3. F (x) = cosx + SiNx, it is proved that a belongs to (0,0.5 π) such that f (x + a) = f (x + 3a) is constant
- 4. Given that the line L passes through the point m (2,3), and the intercept on the x-axis and y-axis is equal, the equation of the line L is obtained
- 5. Let f (x) = (1 + 2x - 3x ^ 2) ^ 6 1) Items with x ^ 2 in F (x) expansion (4x ^ 2 and - 3x ^ 2) 2) The sum of coefficients of all terms in F (x) expansion 3) The sum of coefficients of all odd power terms of X in F (x) expansion The third question is still thinking. Can someone teach me the first two questions?
- 6. Simple calculation of 15 / 0.25
- 7. The function f (x) defined on R satisfies f (x + 2) = 2F (x). When x ∈ [0,2], f (x) = x2-2x, then when x ∈ [- 4, - 2], the minimum value of F (x) is___ ．
- 8. There are two numbers whose absolute value is equal to 1, right or wrong?
- 9. How to find the definition field of logarithmic function Y = 1-log2 (4x-5) under the root sign
- 10. When the absolute values are equal, the sum is ()? When the absolute values are not equal, take the sign of () and subtract ()? When the absolute values are equal, the sum is ()? When the absolute values are not equal, take the sign of () and subtract ()?
- 11. Let a + B = 10 and ab = 7. Then the square of a and the square of B + AB =?
- 12. Given the quadratic power of a + AB = 10, the quadratic power of B - AB = 7, find the quadratic power of a + 2ab-b
- 13. Formula: (one half of the square of AB) third power
- 14. Given a + B = 5, ab = 7, find the square of a, B + the square of ab-a-b
- 15. Given a + B = 7, ab = 5, find the value of (a-b) square
- 16. The power a of (3 / 2) multiplied by the power B of (8 / 27) De is equal to 2 / 3, and the value can be obtained from a-2b + 2
- 17. How much is the 3 / 2 power of 8 / 27? Is there a - 3 / 2 power of 8 / 27? How much is it? For example, please give the explanation and answer of the problem. What is the value of (1-0.5 to the power of - 2)?
- 18. The domain of F (x + 3) is [2,3], (1) the domain of F (x); (2) the domain of F (X-2)
- 19. 1. Given that the domain of F (x + 1) is [- 1,1], then the domain of F | x + 1 | is the process and method of? - (3,1) 2. Given the function f (x) = 1 / 2x ^ 2-x + 3 / 2, whether there is a real number m, so that the domain of definition and range of value of the function are [1, M] (M > 1)? If there is, request m m = - 3, 1 / 2x ^ 2 is the square of half X
- 20. Mathematical problem of senior one: it is known that y = f (x) is an increasing function in the domain (- 1,1) and f (1 + a) is less than f (A2-1) (A2 represents the square of a, then the range of a is