Student: Exams are homework. Treat it with peace of mind I believe you will succeed. Proposer: Chen Yuping.
1. Choose carefully (each question has only one correct answer, with 3 points for each question and * * * 30 points).
1. In the following statement, the error is ....................................... (3).
Answer: The number 0 is also a single item B, and the coefficient and degree of a single item A are 1.
C.x2y2 is a quadratic monomial C.
2. In the following calculation, the error is ................................. (D) A, B,
C, D,
3. In the following equation, it is ........................................... (III).
(A) (B)
(C) (D)
4. It is known that ∠A and ∠B are complementary, while ∠B and ∠C are complementary. If ∠ A = 50, the number of ∠C is .. (4).
(A)40(B)50(C) 130(D) 140
5. In the following types, ....................... () cannot be calculated by the square difference formula.
A, B,
C, D,
6. It is known that (2x+k = then the value of k is ................... ().
A, B, C, D,
7. In the picture below, the pattern exactly the same as the one on the left is ().
8. In the following statement, .................... () is correct.
A. Approximate value 5.0 has the same accuracy as approximate value 5.
B Approximation 3. 197 is accurate to one thousandth and has four significant figures.
C about 5000 and about 5000 have the same accuracy.
D. The significant figures of approximation 23.0 and approximation 23 are both 2 and 3.
9. If the length of a rectangle is increased by 2% and the width is decreased by 2%, the area will be ... ()
A, constant B, increase by 4% C and decrease by 4% D, all of which are wrong.
10. Figure 3 is a schematic diagram of the table top of the reconstructed billiard table, with four corners shaded.
These parts represent four goals respectively. If the ball is hit in the direction shown in the figure,
(The ball can experience many reflections), then the ball bag that the ball will eventually fall into is ().
A. 1 bag B.2 bag C.3 bag D.4 bag
2. Fill in carefully (3 points for each question, 30 points for * * *).
1 1. As shown in the figure, at △ABC, ∠ ABC = 90, BD⊥AC, then the complementary angle in the figure is right.
12. Xiao Ming made a kite as shown in the figure, where ∠EDH=∠FDH, ED=FD=a, EH=b, then the perimeter of the quadrilateral kite is.
13. As shown, there are two slides with the same length. The height AC of the left slideway is equal to the horizontal length DF of the right slideway. If ∠CBA=320, Fed =, EFD =
14. When making a "population map", Xiaoming used a rectangle to approximately represent Shanxi Province. If 1 mm2 represents 654.38+million people and the total population of Shanxi Province is about 32.97 million people, then the area of this rectangle is about _ _ _ _ _ _ _ mm2 (as a result, two significant figures are reserved).
15. As shown in the figure, light A shines on the plane mirror CD and then reflects back and forth between the plane mirror AB and CD. At this time, the incident angle of light is equal to the reflection angle, that is, ∠ 1 = ∠ 6, ∠ 5 = ∠ 3 and ∠ 2 = ∠ 4. If ∠ 1 = 55 ∠ 3 = 75, then ∠2 is equal to
16. if am+ 1 ×a2m- 1=a9, then M = _ _ _ _ _ _ _
17. If two sides of a triangle are 2 and 4 respectively, and the third side is odd, then the third side is, and if the third side is even, then the circumference of the triangle is.
On 18. △ABC, AD⊥BC is in D, and AD divides ∠BAC into 400.
And 600, then ∠ b = _ _ _ _ _ _
19. Point D is the midpoint of BC side in △ABC. If AB=3,
AC=4, then the difference between the perimeters of △ABD and △ACD is
20. As shown in the 8×8 square grid diagram, there are twelve small trees.
Please divide this square into four small pieces and ask about the shape and size of each piece.
It's all the same. There are exactly three small trees in each block. Can you do it? (in red ink)
3. Do it seriously (* * 60 points,) 2 1. Calculation: (12 points)
1).(2)
3) Calculate 20052-2004× 2006 (calculated by multiplication formula)
22(6 points) As shown in the figure, the straight lines AC‖DF, C and E are on AB and DF respectively. Xiaohua wants to know whether ∠ACE and ∠DEC are complementary, but he has a protractor and only a set of triangles, so he thinks of such a method: first connect CF, then find the midpoint O of CF, then connect EO, and extend EO and straight line. The following is his idea, please fill in the basis.
Xiaohua thinks this way: because CF and be intersect at point o,
According to ∠ cob = ∠ eof;
And o is the midpoint of CF, then co = fo and EO = bo are known.
According to △ cob △ foe,
According to BC = ef,
According to bco = f,
Since ∠ BCO = ∠ F, according to AB ∠ DF,
Due to AB‖DF, according to ∠ACE and ∠DEC are complementary.
23.( 10 minute) Xiaoming stands at point A by the pond, and there is a small tree at point B opposite the pond (due north of Xiaoming). He wanted to know how far the tree was from him, so he walked eastward 10 to the telephone pole C, then walked 10 to the point D, and then he changed to due south.
(1) Draw a schematic diagram according to the meaning of the question;
(2) If Xiao Ming steps about 40 cm, it is estimated to be small.
Show the distance between the little tree at point A and him, and explain the reason.
24 known: as shown in the figure, AB‖CD, FG‖HD, ∠B= 100? , FE is the bisector of ∠CEB, and find the degree of ∠EDH.
A F pt
E
B H
G
25( 12) It is understood that the train fare is determined by the method. It is known that the total mileage from Station A to Station H is 1 0,500km, and the reference price for the whole journey is 180 yuan. The following table shows the mileage from stations along the way to H station, for example, determine the train fare from Mile Mile to E station, and the fare is (yuan).
(1) Find the train fare from station A to station F (the result is accurate to 1 yuan);
(2) Aunt Wang goes to her daughter's house by train (this train goes from Station A to Station H). After getting on two trains, she took the train ticket and asked the flight attendant, am I near the station? When the flight attendant saw that Aunt Wang's ticket price was 66 yuan, she immediately said that the next stop was here. Excuse me, where does Aunt Wang get on and off? Write the solution process.
name of a station
The mileage (km) from each station to H station is15001kloc-0/30910 622 402 219 720.
26.( 12 point) As shown in the figure, there is a right triangle △ABC, ∠C=900, AC= 10cm, BC=5cm, and a line segment △APQ=AB, P, Q moves on AC respectively, and the ray AM passes through point A and is perpendicular to AC. Point p is required to move on AC.