The answer to the next day's math test paper

Name of the final examination paper for mathematics: student number: score: 1. Choose one carefully (3 points for each question, 36 points for * * *) 1. The following calculations are correct: () A) 13 13 2? B) 12223 C)52553 D)636 2。 Among the 50 students in a class in Grade 8, the frequency of 1 is 0.20, so there are () a) A) 1065438 students having birthdays in this class. ()A)9494？ B) 4 364 36？ C) aa？ 2 0? A D) None of the above is 4. If the side length of an equilateral triangle is 3, then the perimeter of the triangle formed by connecting the midpoints of each side is () A)9 B)6 C)3 D) 92 5. What is the root of equation 0 1xx? () A)0 B) 1 C)0 or 1 D) No solution 6. The following figures can be used to illustrate that the proposition "Any even number is a multiple of 4" is a false proposition. The counterexample is () A)5 B)2 C)4 D)8 7, "I am a good student." The frequency of the letter "a" is () a) 2b)152c)181d)118. If one side of a parallelogram is 5, its two diagonal lengths can be () A) 12 and 2 B)3 and 4 C)4 and 6 D)4 and 8 9. The following statements are correct: (a) A quadrilateral with equal diagonal lines is a rectangle B, a group of rectangles with equal adjacent sides is a square C, four sides of a diamond are equal, four angles are equal, and the center line of one side of a triangle is equal to half of this side.

10, as shown in the figure, a carpet surrounded by lace with equal width is 8m long and 5m wide. If the rectangular pattern area in the center of the carpet is 18m2. The width of the lace is () a) 2mb)1MC)1.5md) 0.5m11. Use two congruent right-angled triangles to spell out the following figures: ① rectangle; ② diamond shape; ③ Square; ④ parallelogram; ⑤ isosceles triangle; ⑥ isosceles trapezoid. The picture that can be put together is (). (a) ① ② ③ (b) ① ④ ⑤ (c) ① ② ⑤ (d) ② ⑤ 12。 A rectangular piece of paper, as shown in Figure A or B, is folded in half, and then cut along the dotted line in Figure C to get ①? (2) Two parts. The plane figure obtained by expanding (1) is (). (a) triangle (b) rectangle (c) diamond (d) trapezoid. Second, patiently fill in (3 points for each question, 36 points for * * *) 1, quadratic root 1? The value range of the letter A in A is _ _ _ _ _ _ _ 2, and the calculation is 2 3? = _ _ _ _ _ _ _ _ 3. After a grocery store increased its price by 10% twice in a row, the price was 12 1 yuan, so the original price was _ _ _ _ 4. As shown in the figure, two bamboo poles with a height of 4 meters and 7 meters are 6 meters apart, and a rope is directly pulled at the top of the two bamboo poles. ∠ BAE = 120, ∠ DCE = 130, then ∠ AEC = _ _ _ 6. Put "right triangle, isosceles triangle, The isosceles right triangle "is filled in the following corresponding spaces: (1) A square can be composed of two _ _ _ _ _ _ _ _ that can completely overlap; (2) Diamonds can be composed of two _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. (3) A rectangle can be composed of two completely coincident _ _ _ _ _ _ _ _.

7. If the area of a square is known to be 4, then the side length of this square is _ _ _ _ _ _ _ _. 8. The two diagonals of a diamond are 6cm and 8cm respectively, so the side length of a diamond is _ _ _ _ _ _ _ _. 9. If it is inside a polygon, then the number of sides of this polygon is _ _ _ _ _. 10. The angle formed by the intersection of bisectors of two adjacent corners of a parallelogram is _ _ _ _ _ _ _ _. 1 1. As shown in the figure, the bisector of ∠A intersects with point E in the parallelogram ABCD 1 12 11. ; 11112321so guess? 765432 1 1234567898 。 Third, answer the question (answer carefully) 1, (4 points) As shown in the figure, the side length of each small square in the square grid is 1. The vertices of each cell are called grid points. Drawing with grid points as vertices is as follows: (1) In Figure A, draw a parallelogram with an area of 6; (2) In Figure B, draw a trapezoid so that the sum of its two bases is 5. 2 and (4 points) are known: As shown in the figure, in the quadrilateral ABCD, AD∑BC and AD=BC prove: △ Abd △ CDB 3 and (6 points) as shown in the figure, in the rhombic ABCD, ∞.

Find: (1) the length of two diagonals; (2) the area of the diamond. 4. Given 23 a and 23 b respectively, find the following algebraic values (4 points for each small question) (1)ab (2)22baba 5. In order to know the height of students, 50 boys aged 17 in a school were sampled and the data were divided.

Seven groups, the corresponding frequency distribution tables (not listed in part) are as follows: a school1grouping of 50 boys aged 7 (m) frequency (name) frequency1.565 ~1.59520.041.595 ~/. 8+0.655 6 0. 12 1.655 ~ 1.685 1.22 1.685 ~ 1.7 15 0.34 1.7 15 ~ 1 .74561.765438 (2 points) (2) Estimate the percentage of students whose height is not lower than 1.655m and not higher than 1.7 15m among boys aged/7 in this school; (2 points) (3) In our school 17-year-old boys, in which interval does the height appear most frequently? If there are 350 17 boys in this school, how many people are estimated to be in this height range? (4 points) 6. (8 points) In the clothing cabinet sales of Kaitai Department Store, it was found that "COCOTREE" brand children's clothing could sell 20 pieces on average a day, and each piece made a profit in 40 yuan. In order to welcome Labor Day, the shopping mall decided to take appropriate price reduction measures to expand sales, increase profits and reduce inventory. According to market research, if the price of each children's wear is reduced by 1 yuan, then,

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