Seventh grade mathematics volume second final examination paper Beijing Normal University Edition:
Fill in the blanks
1, calculation =.
2. Parallel straight lines are.
3. Fold the corner of △ABC, if? 1+? 2 = 120? And then what? A = .
4. After the rotating turntable stops rotating, the probability that the pointer points to the black area is.
When the driver sees the license plate number of the car behind him in the rearview mirror, the actual license plate number of this car is.
6、? 1 =? 2. If △ ABC △ DCB, the condition of addition can be.
Tangent number 1 2 3 4? n
The number of regular triangles is 4 7 10 13?
7. Cut a regular triangle paper into four congruent small regular triangles, and then cut one of them into four smaller regular triangles in the same way. If this goes on, the result is as follows: then.
8, called a completely flat way, then the value of k is.
The approximate number of 9.250,800 general scientific counting method is expressed as.
10, two angles with parallel sides, where the degree of one angle is 20/3 less than that of the other angle? The degrees of these two angles are respectively.
Second, the multiple-choice question 1 1, the following calculations are correct ()
A.a+a = a b c d。
12, in? Wonderful hand push? In the game, the host shows a 9-digit number and lets participants guess the price of the goods. The guessed price is a 4-digit number, that is, 9 digits are connected from left to right. If participants don't know the price of goods, the probability of guessing the price of goods from any of these four digits is
13, the train with a distance of 600㎞ from city A to city B, when the train speed is 200㎞/, the relationship between the distance s (unit: ㎞) from the train to city B and the travel time t (unit: hours) is graphically represented.
14、AB∨CD、？ Bed = 1 10? , BF split equally? Abe, DF split equally? Then go to CDE. BFD=()
A. 1 10? B. 1 15？ C. 125？ D. 130？
15, four straight lines on the plane intersect in pairs, and the number of intersections is ()
A. 1 or 4 B. 3 or 4 C. 1, 4 or 6 D. 1, 3, 4 or 6.
16, point e is the midpoint of BC, AB? BC, DC? BC, AE split equally? Bad, draw the following conclusions:
① ? A E D =90？ ② ? A D E =？ C D E 3 D E = B E 4 AD = AB+CD, and the four conclusions are ().
A.① ② ④ B. ① ② ③ C. ② ③ ④ D. ① ③ ④
17 is a graph obtained by folding a rectangular piece of paper twice along the connecting line of the midpoint of the long side and then cutting it along the dotted line. The expanded graph is ().
18. With a ruler? The AOB bisector OC leaves a mark, which one can be made? OMC?？ ONC, the basis of congruence ()
A. Social Service Bureau
Third, answer questions.
19, calculation (1) (2)
(3)〔 〕? (
(4) Simplify first and then evaluate:, where x=- 1 and y=0.5.
There are 24,000 fruit trees in a certain area, and it is planned to plant 3,000 fruit trees every year in the future.
(1) Try to express the total number of fruit trees (trees) with a formula containing the number of years;
(2) It is estimated that by the fifth year, how many fruit trees will there be in this area?
2 1. There are two villages A and B on the same side of the river. It is planned to build a water pump station on the bank of AB to supply water to the two villages and solve the problem of villagers' domestic water use.
(1) If the distance between the water pump station and villages A and B is required to be equal, the water pump station
Where should M be built on the bank of AB?
(2) If it is required to use the least building materials to build the pump station, the pump station M will
Where should it be built on the bank of AB?
22. The supermarket will hold a prize promotion activity: anyone who buys all over 300 yuan at one time will have a chance to get a prize.
The lottery machine is a circular turntable, divided into 16 equal parts. Shake the red, yellow and blue areas and take one.
Second, third prize, bonus 60, 50, 40 yuan. One-time shopping in 300 yuan, if
If you don't win the prize, you can return 15 yuan cash.
(1) What is the probability of winning the first prize at a time?
(2) Lao Li went shopping all over 300 yuan at one time. Is it worthwhile for him to take part in the lucky draw or get 15 yuan cash? Please help him think clearly.
23. As △ABC is known, please use a ruler to make the following figure as required (don't write, but leave a trace).
(1) bisector BD; (2) Make perpendicular bisector EF beside BC.
24. It is known that in △ABC, AB = AC, points D and E are on AB and AC respectively, and BD = CE. How to explain OB=OC?
Solution: AB = AC A B C =? A letter C B ()
∫BD = CE()BC = CB()
? △BCD?△CBE()
( ) = ? ( ) ? OB = OC().
On Sunday, Lingling went to the suburbs to play by bike. Please answer the following questions according to the pictures.
(1) When does Lingling arrive at the farthest place from home? How far is it from home?
(2) When did her first rest start? How long did you rest?
(3) When is the fastest time for her to ride a bike? What is the speed?
(4) What is Lingling's average speed of cycling?
26, put two with 45? Place a right triangle with the angle, and point D is on AC, connecting AE and BD. Try to judge the relationship between AE and BD and explain the reasons.