As shown in the figure, we know that the image of the first-order function intersects the image of the positive proportion function at point m, intersects the x-axis at point n (- 6,0), and we also know the coordinates of point m (- 4,m). If the area of △ mon is 15, we can find the analytic expressions of the positive proportion function and the first-order function
Let MC = m (m > 0) pass through the point m to get 12on × M = 15 from the area of △ mon 15, on = 6, that is, 12 × 6 × M = 15, M = 5, and m (- 4,5). Let the analytic expression of positive proportion function y = K1X (K1 ≠ 0), substitute x = - 4, y = 5, and get K1 = − 54, y = − 54x. Let the analytic expression of primary function y = k2x +
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- 1. The image of a certain function passes through the point (- 1,3), and the value of function y decreases with the increase of the independent variable x. a function relation conforming to the above conditions is written out
- 2. Two questions about function mathematics 1. It is known that the image of the first-order function y = 3x-2k intersects with the image of the inverse scale function y = K-3 of X. the ordinate of one of the intersections is 6. Find the coordinates of the intersection of the image of the first-order function and the x-axis and y-axis 2. The analytic expressions of the inverse scale function to the first-order function are determined respectively when the intersection of the image of the inverse scale function y = x / K and the first-order function y = MX + n is a (- 3,4) and the distance from the intersection of the image of the first-order function and the X axis to the origin is 5
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- 10. Known circle C: (x-3) ^ 2 + y ^ 2 = 100. A (- 3,0) Following title: P is any point of circle C, the vertical bisector l of line PA intersects PC at Q point, and the trajectory equation of Q point is obtained Make a straight line AB through the point P (1,1), which respectively intersects the positive half axis of X axis and the positive half axis of Y axis at two points a (a, 0). B (0, b). When a is the value, the area of triangle AOB is the smallest, and what is the minimum area?
- 11. It is known that the image of positive scale function y = KX and the image of primary function y = 4 / 3x + B intersect at point a (2,4), and the expression of primary function of positive scale function is obtained
- 12. In the plane rectangular coordinate system xoy, it is known that the line y = - x + 4 intersects with the X axis at point a, there is a point m on the line, and the area of △ AOM is 8, so the coordinates of point m can be obtained
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- 16. The image with positive scale function y = - 2x passes through the second step_________ In the quadrant, the function y increases with the increase of the independent variable x_______ It is known that the image of the linear function y = KX + 3 The image with positive scale function y = - 2x passes through the second step_________ In the quadrant, the function y increases with the increase of the independent variable x_______ It is known that if the image of a linear function y = KX + 3 passes through a point (- 1,2), then K=___________
- 17. It is known that the value range of the independent variable X of a certain function is 2 less than or equal to x less than or equal to 6, and the value range of the corresponding function value y is 5 less than or equal to y less than or equal to 6 13, find the analytic expression of this function
- 18. Given a point (1,7) on the image of function y = 2x ^ 2 + 5 and its adjacent point (1 + △ x, 7 + △ y), then △ Y / △ x=
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