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20 17 seventh grade Olympic math training questions
A=-y? +ay- 1,B=2y? +3ay-2y- 1, and the value of polynomial 2A+B has nothing to do with the value of y, find the value of 5a-2.

When x=3 is known, the value of algebraic expression ax*x*x+bx+ 1 is -2005. Find the value of times number expression with x=-3.

1.() 4 = 8 1 [the fourth power of x is 81,so find X]

2. Calculate (-2)14th power * (negative half)15th power =

1. When a master builds a door, he usually fixes the rectangular wooden frame ABCD with battens EF.

So it won't deform, that's it.

2. When a straight line intersects with a straight line, the following conditions are given: ① ∠1= ∠ 2; ②∠3=∠6; ③∠4+∠7= 180 ; ④ ∠ 5+∠ 3 = 180, in which ∠ can be judged by _ _ _ _ _ _ _ (fill in the serial number).

3. Calculation: =.

4. The survival time of some bacteria is only 0.000 0 12 seconds, which should be _ _ _ _ _ seconds if expressed by scientific notation.

If each outer angle of a polygon is equal to 72 degrees, the sum of its inner angles is degrees.

6. It is known that the solution of binary linear equations satisfies the equation, then k=______.

7. In order to know the math test scores of 1500 grade seven students, the math scores of 680 students were selected for analysis. Generally speaking, the sample size is.

1. The following statement is true ()

A. congruent triangles refers to two triangles with the same shape

B. congruent triangles refers to two triangles with equal areas.

C. The circumference and area of congruent triangles are equal.

D. All equilateral triangles are congruent triangles.

2. The following phenomenon is translation in mathematics, but ()

A. Autumn leaves fall from trees with the wind.

The elevator goes from the first floor to the top floor.

C.DVD runs in the CD-ROM drive.

D. The motion of Shenzhou 5 spacecraft around the earth Figure 3

3.OP divides C,PD⊥OB ∠ AOB and PC ⊥ OA equally in D, so the size relationship between PC and PD is ().

A.PC & gtPD B. PC=PD C. PC

4. In the following equations, the number of binary linear equations is ()

①3x+= 4; ②2x+y = 3; ③+3y = 1; ④ xy+5y=8。

A.1.B. Two. C.3. D. four.

5. The following sampling survey sample selection method is more appropriate ().

A. In order to estimate the average temperature in Yancheng in 2005, Xiaoli inquired about the average temperature in Yancheng in February 2005;

B. In order to know the average score of the whole class in the final exam, the teacher randomly selected the average score of the top five students.

C. in order to check whether the cake in the oven is cooked, mother took out a piece and tried it.

D. In order to know the average weight of seventh grade students, Xiaohong selected athletes who will take part in the school sports meeting and made a survey.

6. The point with equal distance to the three sides of the triangle is ()

A. the intersection of the center lines. Intersection point of angular bisector

C. the intersection of heights d. Intersection point of middle vertical line

7, the following statement is correct ()

There is a difference between possibility and inevitability. Determine the event as inevitable.

C, if the probability of an event is 99.99%, then it will happen.

D, if the probability of an event is 0. 1%, then it can't happen.

8. The difference between the value and the minimum value of a set of data is 80. If the group spacing is 9, the number of groups divided should be ().

A.7 B.8 C.9 D. 12

3. Decomposition factor: (1)a2b-b3

1. It is known that they are all solutions of the equation y = kx+b.

1) Find the values of k and b 2) Find the value of y when x=4.