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If the real numbers x and y satisfy (X-2) 2 + y2 = 3, then the maximum value of YX is______ ．
YX = y − x − 0, that is, the slope of the line connecting a point on the circle and the origin of the coordinate. Therefore, the maximum value of YX is the slope of the line passing through the origin when it is tangent to the circle. Let YX = k, then kx-y = 0. From | 2K | 1 + K2 = 3, k = ± 3, so (YX) max = 3, (YX) min = - 3
RELATED INFORMATIONS
- 1. If the real numbers a, B, X and y satisfy ax + by = 3 and ay BX = 5, then the value of (A2 + B2) (x2 + Y2) is______ ．
- 2. If x = − 2Y = 1 is the solution of the system ax + by = 1bx + ay = 7, then the value of (a + b) · (a-b) is () A. -353B. 353C. -16D. 16
- 3. It is known that the solution of the system of equations ax + by = 3bx + ay = 7 is x = 2Y = 1, then the value of a + B is () A. 3B. -3C. 103D. −103
- 4. Given that the solution of the system of equations {ax by = 4, BX + ay = 5 is {x = 2, y = 1, then a + B = ()
- 5. If A-B > 0, then a > B. given A-B > 0, X-Y < 0, compare ax + by and BX + ay If A-B > 0, then a > B. given A-B > 0, X-Y < 0, compare AX = by and BX + ay Urgent excavation, to be handed in tomorrow
- 6. Using the formula method: given a < B, x < y, try to compare the size of AX + by and BX + ay
- 7. ax+ay-bx-by=(ax+ay)-( ）=（ ）（ ）
- 8. It is known that the opposite number of X is 3, the absolute value of Y is 4, and the sum of Z and 3 is 0. Find the value of XY + YZ + XZ
- 9. Given that the opposite number of X is - 3, the absolute value of Y is 0, and the reciprocal of Z is - 1 / 3, try to find the value of XY + YZ + XZ
- 10. It is known that the opposite number of X is 3, the absolute value of Y is 4, and the sum of Z and 3 is 0. Find the value of XY + YZ + XZ
- 11. （x²+x)²-26(x²+x)+120 ax+ay+bx+by-a-b x²(x²-y²)-72y⁴
- 12. (ax+by)²+(ay-bx)²
- 13. x²-y/ax-bx+ay-by=?
- 14. A new operation *, X * y = ax + by-3, is defined for real number X. y, where a and B are constants. If 1 * 2 = 9, (- 3) * 3 = 6, find the value of 2 * (- 7)
- 15. For real numbers, a new operation is defined, X * y = ax + by + XY, where a and B are constants, 2 * 1 = 7, (- 3) * 3 = 3, and the value of one third * 6 is obtained
- 16. Given that the maximum value of function f (x) = AXF / x ^ 2 + A is 1 / 2, find the value of real number a It is known that the maximum value of F (x) = ax / x ^ 2 + A is 1 / 2 How to find the value of real number a Second, if f (x) is a decreasing function in the interval (m, 2m-1), find the value range of real number M Finding the maximum and minimum of derivative f '(x) of function f (x)
- 17. Given that inequality 2a-5x > 2x-1 holds for any x ∈ [0,1], then the value range of real number a is? Please provide a variety of solutions
- 18. If the solution set of inequality x + | 2x-1 | < A is φ, then the value set of real number a is___ ．
- 19. Set a = [1,2], B = {x | 2x ^ 2-ax + 1 > 0}, if a ∩ B is not equal to the empty set, then the value range of real number a is? If a is really included in B, then the value range of a is? RT
- 20. What is SGN