Math I'm glad to hear

Source: http://blog.sina.com.cn/s/blog_534c30080100dd37.html

Now, this time is exactly the time for the college entrance examination mathematics. Now, two years ago, that is, during the time when the College Entrance Examination was completed, mathematics was a strong point of mathematics, so I was very excited at that time, after all, it is the person who created the history (explanation: self-styled, that is, the simulation test at that time, each time the mathematics score is high, that is, no base 140 points, I have also scored a full score of 150 three times in a row. I am very envious of myself. After all, I found many questions and made many questions, therefore, the simulation questions are all written with confidence. Every time they are passed as examples in the class, the pleasure at that time is like... not to mention it !) Ah, at that time, I was very confident that I could not answer questions. There should be very few people. The same is true. At that time, I was young and vigorous and had a feeling that I was not afraid of tigers, it took about 15 minutes to complete the selection and fill in the blanks. In fact, 60 + 20-5 = 75 points have been scored, that is, the question of filling in the blanks is wrong, the only question I was impressed with was the normal distribution question. Because the normal distribution was very abstract, I did not review it at the time. The teacher also said that I would not take the test,... there's no way. I just gave up. Although it's very simple, I don't even know the basic foundation. So I can't do it. Let's have a big question!

Looking around, everyone is still busy with the fourth choice question or the fifth choice question... I am very proud and confident. I will continue to do this. Although the big question is abnormal, I think that, based on my usual experience
The road is a bit messy, and it can also get enough points. Due to the shortage, the question-making method is very bad, and it is all clumsy. Although it is correct, it takes a lot of time, while taking into account the use of the special value method, all the answers mentioned here are known.
To solve this problem, I finally handed in a satisfactory answer. The final score was 142 points, and I was satisfied. I left a blank and wrong 5 points, I scored 3 points for the big question, which is due to the clear steps
It is clear that although it is a pity, it is acceptable as a whole, at least 140 points. The exam is as follows:

I. multiple choice questions
Sin2100 =
(A) (B )-
(C)
(D )-
2. f (x) = | sinx | a monotonically incrementing interval of the function is
(A) (-,) (B )(
,) (C) (p,
) (D) (, 2 p)
3. If the Plural z satisfies = I, then z =
(A)-2 + I (B)
-2-i (C)
2-i (D)
2 + I
4. Which of the following four numbers is
(A) (ln2) 2 (B)
Ln (ln2) (C) ln
(D) ln2
5. In semi ABC, we know that D is a point on the edge of AB. If it is 2, =, then l =
()
(B)
(C)
-(D )-
6. Inequality: the solution set of> 0 is
(A) (-2,
1) (B)
(2, + ∞)
(C) (-2, 1) random (2,
+ ∞) (D)
(-∞,-2) terminate (1, + ∞)
7. If the side length of the known positive triangular prism ABC-A1B1C1 is equal to that of the bottom side, the sine of the angle between AB1 and the side ACC1A1 is equal
(A) (B)
(C)

(D)
8. If the slope of a tangent of a known curve is, the abscissa of the cut point is
(A) 3 (B) 2 (C)
1 (D)
9. Translate the image with the Function y = ex according to the vector a = (2, 3) to obtain the image with y = f (x), then f (x) =
(A) ex-3 + 2 (B) ex + 3-2 (C)
Ex-2 + 3 (D)
Ex + 2-3
10. four of the five students are selected to participate in public welfare activities on Friday, Saturday, and Sunday. Each person has one day. Two persons are required to attend the public welfare activities on Friday, there are a total of different dispatching methods.

(A) 40 types (B) 60 types (C)
100 types (D)
120 types
11. Set F1 and F2 to the left and right focal points of the hyperbolic curve. If vertices A exist on the hyperbolic plot, then fill F1AF2 = 90 ° and | AF1 | = 3 | AF2 |, then the hyperbolic centrifugation rate is

()
(B)
(C)

(D)
12. Set F to the focus of the parabolic y2 = 4x, and A, B, and C to the three points above the parabolic. If it is 0, then | FA | + | FB | + | FC | =
(A) 9 (B) 6 (C)
4 (D)
3

2. Fill in blank questions
13. (1 + 2x2) (x-) 8
. (Answer in numbers)
14. in a measurement, x follows the normal distribution of N (1, s2) (s) 0). If x has a probability of 0.4 in, then the probability that x is in () is
.
15. Each vertex of a cube is located on a sphere with a diameter of 2cm. If the length of the bottom side of a positive prism is 1 cm, the surface area of the prism is
Cm2.
16. It is known that an =-5n + 2 is the general term of the series, and the first n of the series is Sn, then
=
.

Iii. Answer:

17. In ∆ ABC, we know the inner angle A =, the edge BC = 2, and the inner angle B = x,
The circumference is y.
(1) Evaluate the analytical expression and definition fields of the Function y = f (x;
(2) calculate the maximum value of y

18.
From A batch of products, A secondary product is extracted from the place where it is put back. One product is randomly selected at A time. Assume event: the probability that "one of the two products is A second product at most" P (A) = 0.96

(1) calculate the probability p that any one of the products in this batch is a second product;
(2) If there are a total of 100 products in this batch, two of them will be randomly selected. x indicates the number of second-class products in the two products, and the distribution column of x is calculated.

19. In the four-pyramid S-ABCD, the bottom side of the ABCD is a square, side
The bottom surface of SD sequence is ABCD. E and F are the midpoint of AB and SC respectively.
Verify: EF plane SAD
Set SD = 2CD to calculate the size of the A-EF-D.

20. In the Cartesian coordinate system xOy, The Circle centered on O is tangent to the line: x-y = 4
(1) equation of circle O
(2) The O and x axes of the circle intersect at two points A and B, and the dynamic point P in the circle makes | PA |, | PO |, | PB | proportional sequence, and the value range is obtained.

21. Set the first entry of the series {an} to A_1 (0, 1 ),
An =, n = 2, 3, 4...
(1) Calculate the general formula of {;
(2) Set, verify <, where n is a positive integer.

22. Known Functions f (x) = x3-x
(1) Calculate the tangent equation of the curve y = f (x) At the point M (t, f (t)
(2) If a> 0 is set, if the crossing point (a, B) can be used as three tangent of the curve y = f (x), it is proved that-a <B <f ()

 

The question is a bit messy, and some cannot be identified, that is, it should be said that it is not very simple, there are several difficulties in the future.