Su Jiaoban junior high school mathematics volume II final examination paper I. Multiple choice questions (2 points for each small question, *** 12 points)
1. The following calculation error is (▲)
A.B. C. D。
2. The following deformations from left to right are factorized (▲).
A.； b；
C.； d；
3. If the solution of the equation is satisfied, the value of is (▲).
A.-1B.-1C.-0 D. Not sure.
4. The solution set of two inequalities in the inequality group can be expressed as (▲) on the number axis.
A.B.
C.D.
5. The following propositions: ① The internal angles on the same side are complementary and the two straight lines are parallel; ② If =, then a = b；; 3 right angles are equal;
④ Equal angle is the antipodal angle. Their inverse propositions are true propositions, and the number of propositions is (▲).
A.4 B.3 C.2 D. 1
6. The two median lines AD and BE of △ABC intersect at point F and are connected with CF. If the area of △ ABC is 24,
Then the area of △ABF is (▲)
A. 10
Fill in the blanks (3 points for each small question, 24 points for * * *)
7. Organisms have genetic diversity, and most of the genetic information is stored in DNA molecules. The diameter of DNA molecules is about
0.0000003㎝, which can be expressed as ㎝ by scientific notation, then = _ ▲.
8. If the sum of the inner angles of a polygon is equal to twice the sum of the outer angles, the polygon is a _ _ _ _ _ polygon.
9. As shown in the figure, B, C and D are on the same straight line. CE∨AB,? ACB=90？ ,
What if? ECD=36？ And then what? A﹦ ▲？ .
10. If, then = ▲.
1 1. If yes, then-▲.
12. As shown in the figure, it will contain 30? The right-angle vertex of a triangular plate with an angle is located on one of two parallel straight lines,
What if? 1=32? And then what? The degree of 2 is ▲.
13. Team A and Team B have a basketball match. According to the rules of the game, each team won a game and scored 3 points.
Draw 1, lose 0. The two teams played 10. Team a
Unbeaten, the score is not less than 24 points, and Team A has won at least _ _ _ _.
14. If a polynomial is added with a monomial containing letters, it can be converted into a polynomial.
The square of the polynomial contained, then such a monomial is ▲.
3. Answer: (The full score of this question is 64)
15. Calculation and simplification: (Full score for this question, 3 points for each small question)
(1) calculation:; (2) Simplify:
16. Factorization: (Full score for this question, 3 points for each small question)
( 1) (2)
17. (The full mark of this question is 6) Complete the following certificates and fill in the reasons in brackets:
Known: as shown in figure,? EAB=？ CDF，CE∨BF。
Proof: AB∨CD.
Proof: ∫CE∨BF (),
CDF=？ c()，
∵ ? EAB=？ CDF，
_____ = ? ______( ),
? AB∨CD()。
18. Solving equations or inequalities: (Full score for this question, 4 points for each small question)
(1) (2), and write its integer solution.
19. As shown in the figure, the side length of each small square in the grid paper is 1, and the four vertices of the quadrilateral ABCD are all on the vertices of the small square, connecting BD.
(1) Draw the height of AB side in △ABD, and the vertical foot is H. 。
(2) (1) Draw a picture, shift it to the right by 2 squares, and then shift it up by 2 squares;
② After translation, find the area of the closed figure formed by the swept part of the line segment AB.
20. (The full mark of this question is 7)3 1 The Summer Olympic Games will be held in Rio de Janeiro, Brazil on August 5, 2065438. Xiaoming booked two tickets for the opening ceremony *** 10 and the closing ceremony in 550 yuan online.
(1) If Xiaoming spent a total of 5,800 yuan on booking tickets, how many tickets did Xiao Li book for the opening and closing ceremony?
(2) If Xiaoming's booking fee is less than 6 100 yuan, how many tickets are there for the opening ceremony at most?
2 1. (this question is full of 8 points) as shown in the figure,? ABD and? The bisector of BDC intersects at points e, e and BE at points f,? 1+? 2=90? Try to guess: What is the relationship between straight line AB and CD in position? What does the quantity matter? Prove your guess.
22. (The full mark of this question is 8) It is known that the solutions of the equations of X and Y are satisfied.
(1) Find the range of a;
(2) simplification.
23. (The full mark of this question is 8) In △ABC, the bisectors of the three internal angles intersect at point O, and point O is OD? OB, the intersection BC is at point D.
(1) as shown in figure 1, guess? AOC and? ODC relationship and explain your reasons;
(2) As shown in Figure 2, for? ABC outer corner? The bisector of ABE intersects the extension line of CO at point F.
① Verification: BF ∑ OD;
2 if? F=40？ , beg? BAC degree
Su Jiaoban junior high school mathematics volume 2 final examination paper reference answer multiple-choice questions
ACADBB
fill-in-the-blank question
7. seven
8. V
9.54
10.
1 1.
12.28?
13.7
14.
Third, answer questions.
15.( 1)-22; (2)
16.( 1) ; (2)
17. Omit (65438+ 0 point per space)
18.( 1) (2), the integer solution is 1, 2.
19.( 1) as shown in figure (2 points);
(2) As shown (3 points);
③9(2 points).
20.( 1) 2 tickets for the opening ceremony and 8 tickets for the closing ceremony; (4 points)
(2) 3 at most. (3 points)
2 1.AB‖CD，？ 2+? 3=90? (4 points each, including conclusion 1 and reason 3).
22.( 1) (5 points, including 2 points for solving the equation correctly and 3 points for solving the inequality correctly);
②3(3 points).
23.( 1)? AOC=？ ODC (1 is the correct guess, and 2 is the correct reason);
(2)① Omission (2 points);
②80? (3 points, only if there is no process 1 point).
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