Cut a 3M long rope into 5 segments, each segment is full court (), is 1m ()

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• 1. Take a 3M long rope and cut it at any position after straightening, then the probability that the length of two sections is not less than 1m is () A. 12b. 13C. 14d. Uncertainty
• 2. (1.6m * 1m) * 2 + (1.3m * 1m) * 2 + 1.6m * 1.3m = what area?
• 3. Reduce one side of the square by 30% and increase the other side by 3 meters to get a rectangle, which is equal to the area of the original square______ Square meters
• 4. Reduce one side of a square by 20% and increase the other side by 2m to get a rectangle. This rectangle has the same area as the original square So what's the area of the original square? It's best to solve it by column arithmetic
• 5. Reduce one side of the square by 30% and increase the other side by 3 meters to get a rectangle, which is equal to the area of the original square______ Square meters
• 6. Reduce one side of the square by 30% and increase the other side by 2m to get a rectangle, which is equal to the original square area. How many meters is the square area
• 7. When a rectangular grassland is reduced by 5 m in length and increased by 3 m in width, a square grassland is obtained. The area of this square is equal to that of the original rectangle, Find the area of the original rectangle Let the length be x and the width be y The equations 3 (X-5) = 5Y (1) are given x-5=y+3② I want to ask: How did you get it?
• 8. If you add 5 meters to the length of a square, its area will be 15 square meters. If you add 3 meters to the width of a rectangle, its area will be 24 square meters What is the original area of this rectangle?
• 9. If the equation (m ^ 2-4) x ^ 3 + (m-2) x ^ MX + m + 1 = 0 is a quadratic equation with one variable, what is the value of M? (m^2-4)x^3+(m-2)x^2-mx+m+1=0
• 10. Find the condition that the equation (m ^ 2-m-2) x ^ 2 + MX + M = 0 about X is a quadratic equation with one variable
• 11. The area of a rectangle is 24.2 square meters, the length is unchanged, the width is expanded by 5 times, and the expanded rectangle area is ()
• 12. If a = 2m * + 3m-2a-1, B = - M * + am-1 and the value of a + 2B has nothing to do with m, find the value of a (* = 2) if a = 2m * + 3m-2a-1, B = - M * + am-1 and a
• 13. As shown in the figure, a middle school has a rectangular site with a length of AM and a width of BM. It is planned to build two mutually perpendicular roads with a width of 2m on the site, and the remaining 4 roads will be built
• 14. It is known that a vector and B vector are not collinear, OA vector = α a vector, OB = β B vector (α, β are not equal to 0). If C is on the line AB, and OC vector = XA vector + Yb vector, we prove that X / α = Y / β = 1
• 15. It is known that x, y and Z are three nonnegative integers satisfying 3x + 2Y + Z = 5 and X + Y-Z = 2. If s = 2x + Y-Z, then the sum of the maximum and minimum of S is___ ．
• 16. Among the following physical quantities, those belonging to vector are: () A. gravity B. distance C. displacement
• 17. Given a (- 2,0), B (2,0), point C and point d satisfy | AC | = 2, vector ad = 1 / 2 (vector AB + vector AC) (1) Finding the trajectory equation of point d (2) Through point a, make a straight line L to intersect the ellipse with a and B as the focus at two points m and N, the distance from the midpoint of line Mn to y axis is 4 / 5, and the line L is tangent to the trajectory of point D, so the equation of the ellipse can be obtained Especially the second question is so difficult
• 18. As shown in the figure, AC bisector angle bad, CE is perpendicular to ab. (2) when angle ADC + angle ABC = 180 °, 2ae = AB + ad is proved
• 19. When the linear inequality ax + B of one variable is greater than 0 or ax + B is less than 0 and is a linear function y = ax + B (a is not equal to 0), it can be regarded as the --- of the linear function y = ax + B
• 20. As shown in the figure, in square ABCD, its side length is 1, P is the midpoint of CD, and point q is on the line BC. When BQ is what value, △ ADP is similar to △ QCP?