Answers to Mathematics Examination Questions of Mianyang Senior Secondary Education School in 2009

First, multiple-choice questions ACBC·ACDB·BADD

Second, fill in the blanks

13.4a4 14.35？ 15. As shown in the figure,16.3.717.18.670,3.

Third, answer questions.

19.( 1) Original formula =-1+3 ()-1-(-1)+1=-1+3 ÷.

(2) the original formula

= = = = .

If x = 0, the original formula =- 1.

(Note: X can be any real number except 1. If it is calculated correctly, it can be scored. )

20.( 1) ∵ × 100% = 35%,

∴ 280 ÷ 35% = 800,800× (1-40%-35%-10%) = 40, that is, there are 800 residents in this survey, and 40 of them like willow.

(2) As shown in the figure.

(3) Suggest a variety of camphor trees.

2 1.( 1)△=[2(k— 1)]2-4(k2- 1)

= 4k2-8k + 4-4k2 + 4 =-8k + 8。

The original equation has two unequal real roots,

∴-8k+8 > 0, the solution is k < 1, that is, the range of real number k is k < 1.

(2) Suppose 0 is a root of the equation, then substitute 02+2 (k- 1)? 0 + k2- 1 = 0，

The solution is k =- 1 or k = 1 (discard).

When k =- 1, 0 is a root of the original equation.

At this point, the original equation becomes X2-4x = 0, the solution is x 1 = 0, x2 = 4, so its other root is 4.

22.( 1) If Uncle Li bought two kinds of X rabbits, A and B, a year ago, the equation can be listed as follows.

X+20 = 2x- 10, x = 30 ... That is, Uncle Li bought 60 breeding rabbits a year ago.

(2) If Uncle Li sells X type A rabbits, then he sells 30-X type B rabbits, which is derived from the question.

X 1, ∴ < n < m, so e is on the side of OB.

∴ When E is on the edge of OB and the distance from the origin is, the condition is met, and then E (,0).