The top of a trapezoid is 3cm, and the bottom is 8cm. Divide it into a parallelogram and a triangle A trapezoid has an upper base of 3cm and a lower base of 8cm. Divide it into a parallelogram and a triangle. If the area of the triangle is 26cm2, what is the area of the trapezoid?

The top of a trapezoid is 3cm, and the bottom is 8cm. Divide it into a parallelogram and a triangle A trapezoid has an upper base of 3cm and a lower base of 8cm. Divide it into a parallelogram and a triangle. If the area of the triangle is 26cm2, what is the area of the trapezoid?


26x2 = 52 [cm] 52 divided by 5 = 10.4 [cm] [8 + 3] x10.4 divided by 2 = 55 [square cm] the area of trapezoid is 55 square cm



As shown in the figure, given that points a (4, m), B (- 1, n) are on the image with inverse scale function y = 8x, the line AB and X axis intersect at point C. if point D is on the Y axis and Da = DC, the coordinates of point D are obtained


As shown in the figure, let the line AB and X-axis intersect at point C, make the vertical bisector De of line AC, intersect Y-axis and point D, substitute the coordinates of a and B into the inverse proportion analytical formula: M = 2, n = - 8, i.e. a (4, 2), B (- 1, - 8), let the analytical formula of line AB be y = KX + B, substitute the coordinates of a and B into: 4K + B = 2 − K + B = − 8, the solution is: k = 2B = − 6, i.e. the analytical formula of line AB is y = 2x-6, let y = 0, get X = 3, that is, C (3,0), ∵ e is the midpoint of the line AC, ∵ e (72,1), the slope of the straight line De is - 12, and the analytic formula of the straight line De is Y-1 = - 12 (x-72), that is, y = - 12x + 114, let x = 0, y = 114, then d (0114)



The square of a △ the sixth power of B =?


The square of a △ the sixth power of B = (A / b cubic) square



A rectangle and an isosceles triangle are placed as shown in the figure. The areas of the six blocks in the figure are 1, 1, 1, 1, 2 and 3 respectively______ .


The area of a large rectangle is: 1 × 2 × 8 + 3, = 16 + 3, = 19



The image of linear function y = - 4x + 2 does not pass through the () quadrant


K = - 4, the slope is less than 0, the possible combination is 124 or 234 or 24
When B = 2, there are 123 or 124 or 12 possible combinations when the cutting saw is greater than 0
So this first-order function goes through quadrants 1,2,4
But quadrant three



Second order partial derivative of Z = ln (1 + x ^ 2 + y ^ 2)? Second order partial derivative of Z = x ^ 2ye ^ 2?


The first partial derivative of Z to x = 2x / (1 + x ^ 2 + y ^ 2)
Second order partial derivative = (2 (1 + x ^ 2 + y ^ 2) - 4x ^ 2) / (1 + x ^ 2 + y ^ 2) ^ 2
=(2y^2+2-2x^2)/(1+x^2+y^2)^2
The first partial derivative of Z to y = 2Y / (1 + x ^ 2 + y ^ 2)
Second order partial derivative = (2x ^ 2 + 2-2y ^ 2) / (1 + x ^ 2 + y ^ 2) ^ 2
Second order mixed partial derivatives=



For example, special figure 3-7 is a pattern made of chess pieces. The first pattern needs 7 pieces, and the second pattern needs 7 pieces


If it is a pattern made of pieces, the first pattern needs 7 pieces, the second pattern needs 19 pieces, and the third pattern needs 37 pieces. If it is put in this way, the sixth pattern needs 127 pieces, and the nth pattern needs 3N2 + 3N + 1 (n ∈ n +) pieces



The parabola y = X2 - (2m-1) x-6m intersects with the X axis at (x1, 0) and (X2, 0). It is known that x1x2 = X1 + x2 + 49. To make the parabola pass through the origin, it should be translated to the right______ A unit


From the relation between root and coefficient, we get x 1x 2 = - 6m, x 1 + x 2 = 2m-1, and substitute it into the known - 6m = 2m-1 + 49, we get the solution of M = - 6. The analytical formula of parabolic is y = x 2 + 13X + 36 = (x + 4) (x + 9). Its intersection with X axis is (- 4,0), (- 9,0), so it should be shifted 4 or 9 units to the right, and the parabola can pass through the origin



A 30cm long iron wire is divided into two parts, each part is bent into an equilateral triangle, and the minimum value of their area sum is?
A 30cm long iron wire is divided into two parts, each part is bent into an equilateral triangle, what is the minimum value of their area sum


25 * (radical 3) / 2



If a (3,0), B (0,4) and P (x, y) are known, then the maximum value of XY is______ .


The equation of ∵ a (3,0), B (0,4) and ∵ AB is: X3 + Y4 = 1. From the mean inequality, we get 1 = X3 + Y4 & nbsp; ≥ 2x3 · Y4 = 2xy12 ∵ 14 ≥ xy12, ∵ XY ≤ 3, that is, the maximum value of XY is 3. When X3 = Y4 = 12, that is, x = 32, y = 2, we take the maximum value. So the answer is: 3