The image of the function y = - 2x + 4 intersects the X axis at point a, and intersects the Y axis at point B. the area of △ AOB (o is the coordinate origin) is calculated

The image of the function y = - 2x + 4 intersects the X axis at point a, and intersects the Y axis at point B. the area of △ AOB (o is the coordinate origin) is calculated

∵ the analytic formula of the first-order function is y = - 2x + 4, when x = 0, y = 4, i.e. B (0,4), when y = 0, x = 2, i.e. a (2,0) ∵ OA = 2, OB = 4, ∵ AOB (o is the coordinate origin) area = 12oa · ob = 12 × 2 × 4 = 4. Answer: the area of △ AOB (o is the coordinate origin) is 4

It is known that the line y = - 2x + 3 intersects the parabola y = x2 at two points a and B, and O is the coordinate origin, then the area of △ OAB is equal to______ ．

As shown in the figure, the straight line y = - 2x + 3 intersects with the parabola y = X2, that is, X2 = - 2x + 3, and the solution is X1 = 1, X2 = - 3, so the intersection coordinates a are (1, 1), B are (- 3, 9), Aa1 and BB1 are perpendicular to the X axis, respectively, and the perpendicular feet are A1, B1, ｜ s △ OAB = s trapezoid aa1b1b-s △ aa1o-s △ bb1o, = 12 × (1 + 9) × (1 + 3) - 12 × 1 × 1-12 × 9 × 3, = 6

The abscissa of the intersection a of the line y = 2x + 4 is 2. If the line y = MX-3 and the Y axis intersect at point B, the area of the triangle AOB is calculated

A(2,8) B(0,-3) O(0,0)
Area = 1 / 2 * 3 * 2 = 3

Given that the line y = - 2x + 4, its intersection with the x-axis is a, and its intersection with the y-axis is B 1, the area of the triangle AOB (o is the original coordinate) can be obtained by calculating the coordinates of two points of a and B 2
Given that the line y = - 2x + 4, its intersection with the X axis is a, and its intersection with the Y axis is B (1) find the coordinates of two points a and B (2) find the area of the triangle AOB (o is the origin of the coordinates)

Given that the line y = - 2x 4, its intersection with the x-axis is a, and its intersection with the y-axis is B (1) find the two points of a and B such that y = 0, - 2x 4 = 0, x = 2, so a is (2,0), B is (0,4) because in the triangle AOB,