Jiangsu education edition seventh grade second volume mathematics final examination questions.
First, multiple-choice questions (3 points for each question, * *18 points, each question has one and only one correct answer. )
1. The following operation is correct ()
A.3-2 = 6 bay m3? M5=m 15℃. (x﹣2)2=x2﹣4 D. y3+y3=2y3
2. In-,,? 、3.2 122 1222 1? Among these four numbers, the number of irrational numbers is ()
A. 1 B. 2 C. 3 D. 4
There are two sticks, their lengths are 20cm and 30cm respectively. If you want to order a tripod, you should choose the following four kinds of sticks ().
A. 10/0cm diameter 30cm diameter 50cm diameter 70cm
4. The following statement is true ()
The square root of is-3b.9 is 3.
What is the arithmetic square root of C. 9? The arithmetic square root of 3 D. 9 is 3.
5. The purchase price of a commodity is 10 yuan, and the selling price is 15 yuan. In order to promote sales, we have decided to sell at a discount now, but if the profit of each piece is not lower than that of 2 yuan, we will sell at most ().
A.60%, 70%, 20% and 10% off.
6. As shown in the figure, AB∨CD,? CED=90? ,EF? CD and f are vertical rulers, so what is the figure and? EDF complementary angle has ()
A.4b 3c 2d 1
Fill in the blanks (3 points for each small question, 30 points for * * *)
The cube root of 7.-8 is.
8.x2? (x2)2=。
9. If am=4 and an=5, then AM-2n =.
10. Please express the number 0.0000 012 in scientific notation.
1 1. If a+b=5 and A-B = 3, then A2-B2 =.
12. If the solution of the equation 2x-y+3k= 0 about x and y is, then k=.
13.N The sum of the inner angles of a polygon is at least greater than the sum of its outer angles 120? The minimum value of n is.
14. If A and B are adjacent integers.
15. Xiao Liang put two rectangular pieces of paper as shown in the figure, so that a vertex of the small rectangular piece of paper just falls on the edge of the large rectangular piece of paper, measured? 1=35? And then what? 2= ? .
16. If the inequality group has a solution, the range of a is.
Third, solve the problem (this big problem * *10 short article, 102 points)
17. Calculation:
( 1)x3? (x2)3? x5
(x+ 1)(x﹣3)+x
(3)(﹣ )0+( )﹣2+(0.2)20 15? 520 15﹣|﹣ 1|
18. Factorization:
( 1)x2﹣9
b3﹣4b2+4b.
19. Solve the equation:
① ;
② .
20. Solve the inequality group: and express the solution set of the inequality group on the number axis.
2 1.( 1) Solving inequality: 5 (x-2)+8
If the smallest integer solution of inequality in (1) is the solution of equation 2x-ax = 3, find the value of a. 。
22. As shown in the figure, the vertices of △ABC are all on the grid points on the square paper with each side length of 1 unit. Move △ABC to the right by 3 squares, and then move up by 2 squares.
(1) Please draw the translated? b? c? ;
△ The area of △ABC is:
(3) If the length of AB is about 5.4, find the height on the side of AB (the result is an integer).
23. as shown in the figure, if AE is the height on the side of △ABC, the angular bisector AD of EAC passes through BC to D. ACB=40? , beg? Ed.
24. If the solution set of the inequality group is-1.