Mid-term examination paper of the second volume of mathematics in the first day of junior high school of Jiangsu Education Edition.

A, multiple-choice questions (this topic *** 10 small question, 4 points for each question, ***40 points)

1. In,,,, …, the number of irrational numbers is ().

A. 1

2, the size relationship between three real numbers-,-2,-()

a 、-->--> 2 B 、-->-2 >-

C,-2 >->-d,-b b, if x2 > 1, then x >.

C, if 2a >-2b, then a >-b d, if a > b, c > d, then a+c > b+d.

6. If the solution of equation 5x-2m=-4-x about x is between 2 and 10, then the range of m is ().

Morning & GT8B.M & LT32C.8 & LTM & LT32m = ""Diameter 32m.

7. If the solution set of the inequality group is expressed as () on the number axis.

8. It is known that x2+mx+ 16 is a completely flat mode, so the value of m is equal to ().

A8 B- 8 c . 0d . 8

9. The following four formulas: (1), (2),

(3) and (4), of which the correct one is ().

A.0 B. 1 C.2 D.3

10, the correct relationship is ()

A. Equality B. Opposing each other

C. When they are odd numbers, they are reciprocal, and when they are even numbers, they are equal.

D, equal in odd numbers, reciprocal in even numbers.

Fill in the blanks (this question is ***4 small questions, each with 5 points and ***20 points)

1 1, factorization factor 9(a+b)2-(a-b)2 =

The sum of all nonnegative integer solutions of 12 and inequality 3x-2≥4(x- 1) is equal to

13, known,,, use "

14, and the solution set of the inequality group is 0 < < 2, then the value of is equal to _ _ _ _.

Three. Calculation (2 small questions in this question, 8 points for each question, *** 16 points)

15、 16 、( x3)2÷x2÷x+x3？ (-x)2？ (-x2)& lt； /m

Fourth, the solution of inequality (group) (this question ***2 small questions, 8 points for each question, *** 16 points)

17、 18、

Five, (this question ***2 small questions, each question 10 points, ***20 points)

19, known inequality 5×2.

Find the value of a.

20. Simplify before evaluating: y(x+y)+(x+y)(x-y)-x2, where x =-2 and y =-.

Six, (this question ***2 small questions, each question 12 points, ***24 points)

2 1. The school allocated several dormitories to the girls in Class 1, Grade 7. It is understood that there are less than 35 girls in this class. If there are five people in each room, the remaining five people will have no place to live. If there are 8 people living in each room, one room is empty and the other room is not satisfied; How many dormitories are there in the school and how many girls are there in Class One, Grade Seven?

22.( 12) Read the following materials before answering the questions.

Using the complete square formula (A B) 2 = A2 2AB+B2, a2+b2 can be appropriately deformed, such as A2+B2 = A2+2AB+B2-2AB = (A+B) 2-2AB or A2+B2 = A2-2AB+2AB = (A-B) 2.

For example, it is known that A+B = 5 and AB = 3. Find the value of a2+b2.

Solution: A2+B2 = (a+b) 2-2ab = 52-2× 3 =19.

Question: (1) Given A+= 5, find a2+( )2.

⑵ Given that A-B = 2 and ab=3, find A4+B4.

Seven. (This question is * *1,*** 1 4)

23, (1) calculation:

(a- 1)(a+ 1)=；

(a- 1)(a2+a+ 1)=；

(a- 1)(a3+a2+a+ 1)=；

⑵ From this, we can guess: (a-1) (A99+A98+A97+…+A2+A+1) =;

(3) Please use the conclusion of the above formula to find the value of 2199+2198+…+22+2+1

First, multiple-choice questions: