It is known that the ordinate of an intersection of the inverse scale function y = KX and the linear function y = 2x + k is - 4, then the value of K is -___ ．

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• 1. As shown in the figure, it is known that the two vertices of RT △ OAB are a [6,0], B [0,8], O is the origin, and △ OAB rotates 90 ° clockwise around point A. point O arrives at point o ', and point B arrives at point B' (1) Finding the coordinates of point B 丿 (2) Finding the analytic expression of the function corresponding to the line ab 丿
• 2. As shown in the figure, it is a part of the image of an inverse scale function, and points a (1,10) and B (10,1) are its endpoints. (1) find the analytic expression of the function, and write out the value range of the independent variable x; (2) please give an example of life that can be described by the functional relationship of this problem
• 3. Given that the vertex of the parabola is (- 1,4), and the length of the line segment cut on the x-axis is 6, the analytical formula of the parabola is obtained
• 4. The volume of the geometry obtained by rotating the curve y = X2 (0 ≤ y ≤ 1) around the Y axis
• 5. Find the area a of the figure enclosed by the curve y = e ^ x, y = 2 and x = 0, and the volume of one revolution around the Y axis Using the knowledge of definite integral,
• 6. The area of the figure enclosed by the curve y = x & # 178; - 1 and X axis is equal to
• 7. The area of the figure enclosed by the curve expressed by the equation | x | + | y | = 1 is () A. 2B. 2C. 1D. 4
• 8. Let a + B + C = 1 vector OP = a vector OA + B vector ob + C vector OC, how can we prove that p a B C four points are coplanar?
• 9. As shown in the figure, it is known that in isosceles △ ABC, ab = AC, P and Q are points on edge AC and ab respectively, and AP = PQ = QB = BC=______ ．
• 10. If there is a common point between the line L passing through point a (4,0) and the curve (X-2) 2 + y2 = 1, the range of the slope of the line L is () A. [−3，3]B. (−3，3)C. [−33，33]D. (−33，33)
• 11. If there is an intersection point between the image of inverse scale function y = 2 / X and the image of primary function y = kx-4, the value range of K is obtained Hope as soon as possible
• 12. If the inverse scale function y = K / X intersects with the image of the first-order function y = KX + 2, then the value range of K is Such as the title
• 13. As shown in the figure, the image of the first-order function y = KX + 2 and the inverse scale function y = K / X intersects a (4, m)
• 14. It is known that the intersection point of the image with the inverse scale function y = K / X and the linear function y = MX + n is a3,4 And the distance from the intersection of the image of the first-order function and the x-axis to the origin is 5 Finding two analytic expressions Find the coordinates of another point and determine what type of angle AOB is
• 15. If the image of a function of degree passes through points (3,5) and (- 4, - 9), then the coordinates of the intersection of the image of the function and the y-axis are______ ．
• 16. If the image of a function of degree passes through points (3,5) and (- 4, - 9), then the coordinates of the intersection of the image of the function and the y-axis are______ ．
• 17. Given that the image of the first-order function passes through a point (1,2), and the product of the abscissa of the intersection of the image and the x-axis and the ordinate of the y-axis is 9, the first-order function can be obtained
• 18. Given that the image of a function passes through a point (1,2), and the product of the abscissa of the intersection of the image and the X axis and the ordinate of the intersection of the image and the Y axis is 9, the analytic expression of the function is obtained
• 19. It is known that the intersection point of the image and the Y-axis of the linear function y = (3a-7) x + A-2 of X is above the x-axis
• 20. For the first-order function y = (3a-7) x + A-2 of X, the intersection of the image and Y axis is below x, and Y decreases with the increase of X, then the value range of a is______ ．