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How to calculate the area of the triangle formed by the intersection of the first-order function and the inverse scale function and the origin of the coordinate?
This should also be considered a very common problem in junior high school
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Using the function analytic simultaneous equations, the coordinates of the intersection point are solved
2. Then calculate the intersection of the first-order function and the x-axis, and take the target triangle as two triangles formed by the x-axis! This is a simple method, then the height is the absolute value of the difference of the ordinates of the two intersections, and then multiply the bottom by the height by 0.5
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- 1. Let the image of inverse scale function y = K / X and linear function y = ax + 1 intersect at a (- 1,2) B (2, - 1), and the area of triangle abo (o is the origin of coordinates)
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- 13. The relationship between triangle area and K value in inverse scale function image I know that the area of the triangle enclosed by the points on the image and the coordinate axis perpendicular to the inverse scale function is equal to half of the area of the triangle. But if there is a point on the image, another point is at the origin, and the three sides are not perpendicular to the coordinate axis, is this conclusion true?
- 14. As shown in the figure, the vertex B of RT △ ABC is on the image with inverse scale function y = 12x, and the edge AC is on the x-axis. It is known that ∠ ACB = 90 °, a = 30 ° and BC = 4
- 15. 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
- 16. 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
- 17. 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
- 18. 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
- 19. 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
- 20. 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