In a blink of an eye, the seventh grade is halfway through the next semester, and we have gained a lot of new mathematical knowledge and improved our mathematical ability in many aspects. Now is the time to show your strength, and you should make good use of it! Wish you success!
First, you can definitely choose a team! (2 points for each small question, *** 12 points)
1. calculation, the result is ()
A 0 B -6 C - 1 D 1
2. In the following categories, () A.B.C.D is not necessarily correct.
3. The following operation results are correct.
A.B.
C.D.
5. Among the following statements, the correct one is ()
A. The complementary angle of an angle must be obtuse. B. Two acute angles must be complementary to each other.
C a right angle has no complementary angle d, if ∠MON= 180o, then m, o and n are on a straight line.
6. The sum of internal angles of (n+1) polygon is greater than the sum of internal angles of n polygon ().
360 c n 180d n 360
Second, can you fill it out quickly and accurately? (2 points for each small question, ***22 points)
7. If the lengths of the three sides of a triangle are 7, 10 and x respectively, the value range of x is;
8. In Δ Δ ABC, it is known that ∠A=∠B=∠C, then the shape of the triangle is triangle;
9. The earth is about kilometers away from the moon, and the speed of the plane is about kilometers per hour. If you fly such a long distance by plane, it will take about a few days.
10. Given that A+B = 6 and AB = 3, then;
1 1. As shown in the figure ∠ 1+∠ 2 = 284, b‖c,
Then ∠3=, ∠4=.
12. Xiaoming has two sticks of 4cm and 8cm. He wants to make an isosceles triangle with these two sticks, and he needs another stick _ _ _ _ _ cm long.
13. A computer can do 4× 108 operations per second, and when it works for 4× 103 seconds, it can do _ _ _ _ _ _ operations (expressed by scientific counting method).
13. If it is known that it is the solution of equation 3mx-y=- 1, then m = _ _ _ _ _ _ _ _ _
14. The car's fuel tank is full of oil. I used half of it for the first time and added 6 liters of oil. The second time, the tank was filled with 8 liters of oil. Assuming that the fuel tank can hold X liters of oil, the equation can be listed as _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
15. As shown in figure 1, the line segment CD moves _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ to the left.
I see.
16. As shown in Figure 2, a big square consists of two small squares and two small rectangles. The area of this big square is _ _ _ _ _ _ _ _ _ _ _.
Third, do the math! Don't make a mistake!
17. Calculation: (4 points for each small question, *** 12 points)
( 1)[2-(-3)2] ×[(- 1)2002-( 1-0.5×)]
(2)
(3)-3(x2-xy)-x(-2y+2x)(4)(3mn+ 1)(3mn- 1)-(3mn-2)2
18. Factorization (4 points for each small question, *** 12 points)
( 1) (2)
(3) (4)
19 to solve the equation (4 points for each small question, *** 12 points)
( 1) (2)
Draw a picture and you will succeed! (4 points for this question)
20.2. As shown in the figure, move the graphics in the grid paper 4 squares to the right and then 3 squares to draw the translated graphics;
5. Do it, it will definitely work! (2 1 4, 22 questions 6, 23 questions 6, 24 questions 10)
2 1. As shown in the figure, (1) write the area of the shaded part in the figure;
(2) When a=3 and b=2, calculate the area of the shadow part.
(=3. 14 15, in centimeters)
22. as shown in figure 2-86, AB//CD, ∠ 1=∠A, ∠2=∠C, b, e and d are in a straight line.
Find the degree of ∠AEC.
23. It is known that the solution of the equation system 3kx+2y=6k satisfies the equation x+y= 10, and the value of k is found.
2x+y=8
24. Exploration and application of multiplication formula.
(1) As shown in the left figure, the area of the shaded part can be found as (written as the square difference of two numbers);
(2) As shown in the figure on the right, if the shadow part is cut off and reassembled into a rectangle, its width is, its length is, and its area is (written in the form of polynomial multiplication).
(3) Comparing the shadow areas of the left and right images, we can get the multiplication formula (expressed by formula).
(4) Use the formula you get to calculate the following questions:
① ②
Friendly reminder: please check carefully after you finish the test paper. I wish you good results in the exam!
Answer:
1, D2, D3, D4, D5, D6, A7, 3<x< 17 8, right angle 9, 20.
1 1, 38 degrees 142 degrees12,813, 14,-315,2316,
17 、( 1)9(3)4) 12mn-5 18 、( 1)
(2) (3) (4) 19、( 1) (2)
20, slightly 2 1, (1) (2) 7.80 22,23, k=2.
24 、( 1)(2)(a-b)(a+b)(a+b)(a-b)(3)(a+b)(a-b)= 1
(4) 99.9 1 agree 14| comment (3)