1. Fill in the blanks: (3 points for each question, ***30 points)

1, if ∠ a = 23 34', ∠ b = 7145', ∠ a+∠ b = _ _ _ _ _'.

2. When x _ _ _ _ _ _ _ _ _ the algebraic expression 1-3x is nonnegative.

3, expressed by scientific notation: 0.000602 = _ _ _ _ _ _.

4. The proposition of "equal vertex angles" is _ _ _ _ _ _ _ _ _ _ _, and the conclusion is _ _ _ _ _ _ _ _ _ _.

5. If two angles are antipodal and complementary, they are both _ _ _ _ _.

6. The lengths of the two known sides of a triangle are 3cm and 4cm respectively. If the length of the third side is even, the length of the third side is _ _ _ _ _.

7. Xiaoming, Xiaohong and Xiaojun measure the three sides of △ABC at the same time. Xiao Ming said, "One side is 4". Xiaohong said, "The perimeter of the triangle is 1 1". Xiaojun said, "The lengths of the three sides are three different integers." Please answer, the length of three sides is,,.

8. When x, the value of algebraic expression 2x-3 is positive;

9. if the solution set of inequality ax > b is x < a/b, then the range of a is;

10, rectangle x meters long and 50 meters wide. If its circumference is not less than 280 meters, then the inequality that X should satisfy is;

2. Multiple choice questions: (3 points for each question, ***30 points)

1 1, if-1

(a) It must be positive; (b) It must be negative; (c) It must be non-negative; (d) The pros and cons are uncertain.

12. Use a batch of the same polygonal floor tiles to lay the floor, but what can't be inlaid is ().

(a) Regular triangle (b) Square (c) Regular pentagon (d) Regular hexagon

13. If ∠A and ∠B are parallel and ∠A is 30 smaller than ∠B, then ∠B is ().

(a) 30 (b) 70 (c) 30 or 70 (d) 100.

14,. If two parallel lines are cut by a third straight line, then a set of bisectors at the inner corner of the same side are each other ().

(a) vertical (b) parallel (c) coincident (d) intersecting, but not vertical.

15, the following proposition, the correct proposition is ()

(a) Of all the straight lines connecting two points, the straight line is the shortest. (b) Two straight lines are cut by a third straight line and equal to the complementary angle.

(c) Two lines that do not intersect are called parallel lines. (d) If both lines are perpendicular to the third line, the two lines are parallel to each other.

16. It is known that the three internal angles ∠A∠B∠C of ΔΔ δδABC satisfy the relationship ∠B+∠C=3∠A, then this triangle ().

A, there must be an internal angle of 45 and an internal angle of 60.

C, it must be a right triangle D, it must be an obtuse triangle.

17. There are three straight lines intersecting on the plane. If there are at most m intersections and at least n intersections, then m+n equals ().

a、 1 B、2 C、3 D、4

18. If the sum of all inner angles and one outer angle of the n polygon is equal to 1350, then n is ().

Seven B's, eight C's, nine D's, and ten.

19. If the sum of the inner angles of a polygon is twice the sum of the outer angles, then the polygon is ().

Triangle b quadrilateral c pentagon d hexagon

20, the following conclusion is incorrect ()

The bisectors of the high, middle and bottom angles of an isosceles triangle coincide with each other. The inner angle of an isosceles triangle can be an obtuse angle.

The base angle of C isosceles triangle can only be acute. D isosceles triangle is a special isosceles triangle.

2 1, (5 points in this question) is known: | 2x+y-11|+(5x-4y-8) 2 = 0, so find the value of xy.

22. (5 points in this question) Due to a town's vigorous development of planting and bamboo processing industry, farmers' income this year is 65,438+05% more than last year, while their expenditure is 65,438+00% less than last year. It is known that the balance of income and expenditure last year was 4 million yuan, and it is estimated that the balance this year will be 8.6 million yuan. What was the income and expenditure last year?

23. (20 points in this question) A school organizes a spring outing for first-year teachers and students. If more than 45-seat buses are rented, 15 people have no seats. If you rent a 60-seat bus, rent two cars less than a 45-seat bus to ensure that everyone has a seat and there is no vacancy.

(1) How many teachers and students participated in the spring outing in Grade One of this school? How many 45-seat buses do you mean?

(2) In practice, if all 45 buses are rented, how many buses do you think are needed? Explain why.

(3) If the rent of a 45-seat bus is 420 yuan, and the rent of a 60-seat bus is 600 yuan, the school is going to rent a model car for this spring outing, which bus is more cost-effective? Why?

(4) Can you provide a better car rental scheme? Give it a try! Your plan:

24. (5 points for this question) At present, there are several residential students living in several dormitories. If there are 4 people living in each dormitory, there are still 19 people who have no dormitory. If there are 6 people in each room, one dormitory is not empty and not satisfied. Number of people seeking to stay, number of dormitory rooms.

25. (5 points in this question) The headmaster of a school will lead the "three excellent students at the municipal level" to travel to the Three Gorges during the summer vacation. A travel agency said: if the principal buys a full ticket, the rest of the students can enjoy a half-price discount; Travel agency b said: all air tickets, including the principal, are 60% off. It is understood that the full fares of the two travel agencies are around 240 yuan. Please explain which travel agency is more favorable in terms of the number of students.