As shown in the figure, the shadow part is a square piece of paper with a side length of 4cm. Cut a small square piece of paper with a side length of 2.5cm in the center of it. Please try to make a rectangle with the simplest method to make its area equal to the area of the shadow part in the figure

As shown in the figure, make a rectangle with length of 6.5cm and width of 1.5cm; reason: 42-2.52 = (4 + 2.5) (4-2.5) = 6.5 × 1.5

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1. As shown in the figure, in the quadrilateral ABCD, e and F are the intersection points of two groups of opposite extension lines respectively. Eg and FG divide ∠ BEC and ∠ DFC equally. If ∠ ADC = 60 ° and ∠ ABC = 80 °, then the size of ∠ EGF is () A. 140°B. 130°C. 120°D. 110°
2. 1. As shown in the figure, in a quadrilateral, ab ‖ CD, points E and F are on the sides AD and BC respectively, connecting AC and intersecting EF with G, angle 1 = angle BAC 【1】 Verification of EF ‖ CD 【2】 If ∠ CAF = 15 °, 2 = 45 ° and 3 = 20 °, calculate the degree of ∠ B and ACD 2. As shown in the figure, it is known that AD and AE are respectively the middle line and high line of △ ABC, and ab = 5cm, AC = 3cm. Find the perimeter difference between [1] △ abd and △ ACD 【2】 If BF is the bisector of △ abd, what is the area of s △ BFD? 3. As shown in the figure, it is known that in △ ABC, the bisector of ad bisection ∠ BAC intersects BC at D, ∠ ABC, the bisector of ∠ ACB intersects ad at O, and goes through o to make OE ⊥ BC at E. try to guess the relationship between ∠ BOD and ∠ EOC, and prove your conclusion worry
3. Seventh grade math problems (to process!) 1. Given A-2 + B-3 = 0, find the value of B to the second power of 3AB + 2Ab (the second power of B) - the second power of 4A (the second power of a) 2. If a + B and A-B are opposite numbers, simplify the power of 2008 of a + the power of 2008 of B + the power of 2008 of a - the power of 2008 of B 3. How thick is a piece of paper with a thickness of 0.1 mm if it is folded 20 times? How many floors is it? (to be precise, suppose a floor is three meters high) 4. Known: M = m + m to the power of 2 + m to the power of 3 +... + m to the power of 200 (I) when m = 1, find m; (II) when m = - 1, find m; (III) when M-0, find M 5. If the n-th power of (- 4) is greater than 0 and the m-th power of (- 4) is less than 0, compare the m-th power of (- 1) + (- 1) with the n-th power of 3 + (- 3) 6. A / A + B / B + C / C = - 1, find the value of AB / AB + BC / BC + ABC / ABC To write the process! Well written, give points!
4. 1. Both Party A and Party B set out from a to B at the same time at a speed of 15km / h. When Party A finds that the important goods are placed in a, they immediately return to get the goods and catch up with Party B. if the speed of returning and catching up with Party B is 1.2 times of the original speed, Party B's speed remains unchanged, and both of them reach B at the same time, the distance between two places of AB is calculated 2. When 100 g of 25% sulfuric acid solution is prepared with 50% and 10% sulfuric acid solution, how many g of 50% sulfuric acid solution is prepared?
5. 2（3x-1）²-32=0 27（1-4x）³=125 Find the value of X
6. A farm originally planned to sow 2000 mu of wheat in several days, but in actual sowing, the sown area per day was 30 mu more than the original plan, which not only completed the task within the specified time, but also sowed 240 mu more wheat. How many mu of wheat per day was the original plan? How many days was the original plan? Lie equation
7. A cone-shaped beach has a bottom diameter of 6 meters and a height of 0.9 meters. If each cubic meter of sand weighs 0.4 tons, how many tons does this pile of sand weigh? (the number is reserved to 10)
8. On the mathematical problem of equal ratio In the equal ratio sequence {an}, A1 = - 3, A5 = - 12, then the value of A6 is equal to?
9. I'd like to ask some math questions for high school students, 1. The gravitational force F between a satellite and the earth is given by the formula F = GMM / R, where m is the mass of the earth and G is a constant 2. During the summer vacation, a travel agency launched the following method of group formation: for groups with 100 people, each person charges 1000 yuan. If the number of groups exceeds 100 people, the average charge per person will be reduced by 5 yuan for each more than one person, but the number of groups can not exceed 180 people. How to form a group, but the travel agency charges the most? 3. The area of a certain type of printing paper is 623.7cm square, and the margins of the upper and lower pages are required to be 2.54cm respectively, and the margins of the left and right pages are required to be 3.17cm respectively. If vertical printing is required, what is the length and width respectively to make the maximum printing area (accurate to 0.01cm)
10. Try to write a polynomial satisfying the following conditions at the same time: (1) Contains only the letter X (2) There is no constant term (3) The number of times is two (4) The coefficients of all the monomials are one
11. If x = 1, y = 6 and x = - 3, y = - 4 are solutions of the equation AX + by + 7 = 0, try to judge whether x = 3, y = 11 are solutions of the equation AX + by + 7 = 0
12. Given that a and B are the lengths of two sides of an isosceles triangle, a and B satisfy B 2 + a − 1 + 4 = 4b, the perimeter of the triangle can be obtained
13. There is a column of numbers: A1, A2, A3 If A1 = 2, then a2007 is () A. 2007B. 2C. 12D. -1
14. The polynomial x ^ 2 + PX + 12 can be decomposed into the product of two first-order factors. The value of integral P is () write two
15. Mathematics problems and answers on page 180 of Grade 7
16. The area of the rectangle is 6m square + 60m + 150 (M is greater than 0). The ratio of length to width is 3:2. Find the perimeter of the rectangle. This is an application problem
17. 1、（）-3a²+5a-7=-2a²+2a+1 2. If a = x & sup3; - 5x & sup2; - 11x + 6, then A-B = () 3. If the value of the polynomial 3x & sup2; - 2 (5 + y-2x & sup2;) + MX & sup2; has nothing to do with the value of X, then M is equal to X
18. How many seventh grade math problems to solve! Urgent! Is the absolute value of rational numbers If | a | = | B |, then:_____ Or_____ If a + B = 0, then: If | x | = a (a > 0), then x has___ Values, x =______ They are______ Count Simplify 1. a＞1,| a - 1 | 2. a＜1, | a - 1 | 3. x＜2 | x - 2 | 4. x＜ - 3 | x + 3 | 5. -1＜x＜2 6.-1＜x＜2,|x+1|-|x-2| Given | 2 A + 1 | + | B - 2 | + | 3 - C | = 0, find ABC =? Given that | 3 x + 4 | and | 2 x - 1 | are opposite numbers, find x + y =? 5 A + 6 and 2 - A are opposite numbers, so 2A + 3B =?
19. Mathematics problems of grade seven Xiaojie's family bought a new table of 1 or 2 meters. Grandma put two pieces of 1 meter long square cloth together to form a large square cloth. Can you express the side length of the cloth in radical form? Can this cloth cover the table
20. Seventh grade math problems, online speed~~~ As shown in the figure, the triangle ABC is an equilateral triangle, and the point D is the midpoint on the side of BC, which is the degree of ∠ B, ∠ DAC A triangle is isosceles with a vertical bisector in the middle It is known that in triangle ABC, ab = AC, ad bisects ∠ BAC, intersects BC with D, the circumference of triangle ABC is 36, and the circumference of triangle ADC is 30 cm