1 (A)。 If the positions of real numbers A, B and C on the number axis are shown in the figure, then the algebraic expression can be simplified as ().
(Question 1 (A))
(A)2c-a
(B)2a-2b (C)-a
(d) I
1 (b)。 If is, the value of is ().
(1)
(2)
Article 2, paragraph 4
Article 2 (a). If the images of the proportional function y = ax(a ≠ 0) and the inverse proportional function y =(b ≠0) have two intersections, and the coordinate of one intersection is (-3, -2), then the coordinate of the other intersection is ().
(A)(2,3) (B)(3,-2) (C)(-2,3) (D)(3,2)
Article 2 (b). The number of integer point coordinates (x, y) satisfying the inequality x2+y2 ≤ 2x+2y in the plane rectangular coordinate system is ().
10
9.
(C)7
(D)5
Article 3 (a). If it is a given real number, and the absolute value of the difference between the average and median of these four data is ().
(A) 1 (B)
(3)
Article 3, paragraph 2. As shown in the figure, in a quadrilateral ABCD, AC and BD are diagonal lines, △ABC is an equilateral triangle, and AD = 3 and BD = 5, then the length of the CD is
( ).
Question 3 (b))
(1)
Article 4 (C)
4.5
Article 4 (a). Xiao Gan and Xiao Ling each have some RMB with a face value of 100 yuan. Xiao Gan said to Xiao Ling, "If you give me 2 yuan, my money will be n times as much as yours". Xiaoling said to Xiao Gan, "If you give me n yuan, my money will be twice as much as yours", where n is a positive integer, then the number of possible values of n is ().
1 (B)2 (C)3 (D)4
Article 6 (a). According to the program operation as shown in the figure, the program specifies to run from "input a value x" to "whether the result is >; 487? "Do an operation. If the operation stops four times, the value range of x is.
(Question 6 (a))
Article 6 (b). If a, b and c are all positive numbers and satisfy, then the value of is.
First, multiple choice questions
1.D
Solution: The last number in line k is, so the last number in line 100 is.
2.B
Solution: The rectangle in this table can be determined by the two ends of the diagonal. Because it contains small black squares, one endpoint of the diagonal is determined, and the other endpoint has 3×4= 12 choices.
3.B
Solution: Because both roots of the equation are rational numbers, the discriminant of the roots ≥0 is a complete square number.
≥0, and 2≥, so,
At that time, the solution;
It was solved then.
4.C
Solution: When the function is quadratic, there is K2- 1 ≠ 0,
=(k+ 1)2-4(k2- 1) or k
When the function is linear, k= 1. At this point, y =-2x+ 1 has something in common with the X axis, which does not meet the meaning of the question.
When the function is a constant function, k =- 1, and y= 1 has nothing in common with the x axis.
So the value range of k is k >, or k ≤- 1.
5.B
(Question 5)
Solution: As shown in the figure, suppose BKCE, then
So A, B, E and C are four * * * circles. Because they are the midpoint, there are.
That is, equal share.
Second, fill in the blanks
6.30
(Question 6)
Solution: As shown in the figure, if PD is connected, then