How to solve the triangle area of inverse proportion function

(absolute value of X multiplied by absolute value of Y) divided by 2

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1. 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?
2. 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)
3. Find the intersection coordinates a and B of the inverse scale function y = 2 / X and the linear function y = 2x-1, and find the area of the triangle AOB
4. As shown in the figure, the image of the first-order function Y1 = x + 1 and the image of the inverse scale function y2 = KX (k is a constant and K ≠ 0) pass through point a (m, 2) (1) find the coordinates of point a and the expression of the inverse scale function; (2) compare directly with the image: when x > 0, the sizes of Y1 and Y2
5. If point a (- 2, Y1) and point B (- 1, Y2) are both on the image with inverse scale function y = - 2 / x, then the size relationship between Y1 and Y2 is y1
6. The radius of circle a is 2 cm, and the diameter of circle B is 4 cm. Are the perimeter of the two circles equal?
7. First simplify and then calculate, as follows Given x = (√ 3 - √ 2) \ (√ 3 + √ 2), y = (√ 3 + √ 2) \ (√ 3 - √ 2), find the value of x ^ 2 + 2XY + y ^ 2 and X / y + Y / X
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9. The perimeter of a rectangle is 24cm. If the length of the rectangle is reduced by 2cm and the width is increased by 3cm, it will become a square. Find the area of the original rectangle? Use x solution
10. It is known that the equation of X, where the square of x plus (2m minus 1) x plus the square of M is equal to 0, has two real roots x 1 and x 2
11. Analytic expression of inverse proportion function of triangle area
12. 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?
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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?