Mathematics industry examination

Friendly reminder:

Hi, dear classmates, hello! Today is the time to show your talent. As long as you carefully examine the questions, carefully answer the questions and give full play to your usual level, you will have excellent performance, relax and believe in your own strength!

First, multiple-choice questions (30 points for this question, 3 points for each small question)

Of the four alternative answers to the following questions, only one is correct. Please fill in the letter code of the answer you think is correct in the box corresponding to the question number in the table below.

The title is 1 23455 6789 10.

Answer a question.

1, equal to ()

A, B, C, D,

2. Given a partial image of a parabola (as shown on the right), the coordinates when the image intersects the X axis again are () a, (5,0 0) b, (6,0 0) c, (7,0 0) d and (8,0).

As shown in the figure, in order to speed up the construction progress, the mountain should be built on the other side of the mountain at the same time. Starting from point B on AC, take ∠ Abd = 145, BD = 500m, ∠ D = 55, and make A, C and E in a straight line, then the distance from excavation point E to point D is ().

A, 500 symplectic 55 meters B, 500 KOS 55 meters

C, 500 tons 55 meters d, 500 tons 35 meters

4, the correct proposition in the following proposition is ()

A, determine three points b of a circle and bisect the diameter of the chord perpendicular to the chord.

C, the circumferential angle is equal to half of the central angle d, which is equal to the circumferential angle opposite to the equal arc.

5. As shown in the figure, O⊙ on the AB side with a diameter of △ABC passes through BC to D and connects AD. To get △ Abd △ ACD, there must be a condition ().

①AB = AC②BD = DC③∠BAD =∠CAD④∠B =∠C⑤∠BAC = 90？

Any one of a, ①, ②, ③ and 4B, ① and ⑤.

C, ①, ②, ③, ④ and 5d, ② and ⑤.

6. If the depression angles of points C and D on the ground are 450 and 300 respectively, the connecting lines between points C and D and the foot of the mountain B*** * *,

If CD= 100 m, the mountain height AB is ()

a， 100m b，50m c，50m d，50m()。

7. The image of the known quadratic function is shown on the right.

Then a, b and c satisfy ()

a、a