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As shown in the figure, point a is a point of the inverse scale function in the first quadrant image, AB and AC are perpendicular to the X axis and Y axis respectively, B and C are perpendicular feet, and rectangular aboc The area of the line ad is 3, and the coordinate of point D is (- 2,0). The line ad intersects the Y axis at e, and the point E is on the line OC, and CE = OE. (1) find the analytic formula of the inverse proportion function; (2) find the coordinate of point a; (3) find the analytic formula of the line ad
Let y = K / X be the inverse scale function, then the coordinate of point a is (2, K / 2) ∵ the area of rectangular aboc is 3, then 2 × (K / 2) = 3, that is, k = 3, that is, the analytic expression of the inverse scale function is
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- 1. Take the point P on the image of the linear function y = - x + 3, make PA perpendicular to the x-axis and Pb perpendicular to the y-axis. If the s rectangle paob = 9,4, how many points can be found It is helpful for the responder to give an accurate answer
- 2. Take the point P on the image of the linear function y = - x + 3, make PA perpendicular to the X axis and Pb perpendicular to the Y axis. If the s rectangle paob = 2, how many points can be found
- 3. Given that point P is a point on inverse scale function y = 24 / x, PA ⊥ X axis is at point a, Pb ⊥ Y axis is not at point a, the area of quadrilateral paob is______ Hurry up, I won't! Hurry up
- 4. On the hyperbola y=_ If there is a point P (m, n) PA on 6 / X perpendicular to X axis and Pb perpendicular to y axis, what is the area of rectangular paob?
- 5. As shown in the figure, point P (x, y) is on the image with inverse scale function y = 2 / X. through point P, make PA ⊥ X axis at point a, and make Pb ⊥ Y axis at point B. the area of rectangular OAPB is
- 6. As shown in the figure, the point P (a, b) is on a branch of the image with the inverse scale function y = x / K. PA is perpendicular to the X axis, and the perpendicular feet are a, B respectively. The area of the rectangular aobp is 2, and the solution of K is obtained The process is complete
- 7. Given a point on the inverse scale function y = - X / 10 of point C, a vertical line is drawn to the coordinate axis through point C, and the vertical feet are a and B respectively, then the area of the quadrilateral aobc is
- 8. It is known that the image of y = x-4 intersects with the x-axis at a, and it intersects with the image of y = KX + B at point C. the abscissa of point C is 3, y = KX + B intersects with the x-axis at B, and the face of triangle ABC If the area is 2 / 5, find the analytic formula of y = KX + B
- 9. It is known that the vertex a of RT △ ABC is the intersection point of the first quadrant of the image of the linear function y = x + m and the inverse scale function y = m / x, and s △ AOB = 3. If the extension of the line AC intersects another branch of the image of the inverse scale function at point D and makes the de ⊥ X axis at e through D, please judge which special triangle △ AOD is and prove it
- 10. It is known that the three vertices of triangle ABC are on the image with inverse scale function y = 1 / X (1) Let a (x1, Y1), B (X2, Y2), C (X3, Y3), find the linear equation of the height on the AB side and the height on the BC side If the title, the detailed process is appropriate, thank you
- 11. As shown in the figure, point a is a point of the inverse scale function in the first quadrant, AB and AC are perpendicular to the XY axis, B and C are perpendicular feet, and the area of rectangular aboc is 3 Mark as - 2, the line ad intersects the y-axis at point E, point E is on line OC, and Ce: od = 1:2 (1) find the analytic formula of inverse scale function (2) find the coordinate of point a (3) find the analytic formula of line ad
- 12. How to calculate the area of inverse scale function image?
- 13. As shown in the figure, if point a is on the image of function y = 2x (x > 0), then the area of rectangle aboc is______ A unit of square
- 14. The image of an inverse scale function is shown in the figure. Point a is the upper point on the image, ab ⊥ X axis, AC ⊥ Y axis, and the perpendicular feet are B and C respectively. If the area of the rectangular aboc is 8, then the analytical expression of the inverse scale function is______ ．
- 15. The image with positive scale function y = KX (K ≠ 0) is processed by___ It's a straight line The image of a linear function y = KX + B (K ≠ 0) is a point (0___ ),(____ , 0)_____ .
- 16. The image with positive scale function y = KX (K ≠ 0) is a straight line passing through point () and point (1,)
- 17. If the image of a function y = kx-6 passes through a point (- 1,5), then K=______ ．
- 18. If the image of a function y = KX + B passes through points a (0,2), B (1,0), then B+___ ,k=_____
- 19. It is known that the image of the first-order function y = KX + B (k > 0) passes through the point P (3,2), and the area of the triangle formed by it and the two coordinate axes is equal to 4. It is better to find several more similar problems in solving the analytic formula of the function~
- 20. If the area of the triangle formed by the image of the first-order function y = KX + 3 and the two coordinate axes is 9, then the value of K is?