DC da b qu
1 1、-6
12、 18
13、 27
14、—8
15、x & gt=0
Detailed answer and analysis
Note: Some characters and pictures are not displayed.
1. If, then plural = ()
A.B. C. D。
Answer: b
Analysis:
2. If the set is complete, the set is equal to ()
A.B. C. D。
Answer: d
Analysis:
,,,
If is, the domain of is ()
A.B. C. D。
Answer: c
Analysis:
4. The tangent slope of the curve at point A (0, 1) is ()
1。
A: A.
Analysis:
5. Let {} be arithmetic progression and the tolerance d = -2 be the sum of the first n terms. If, then = ().
A. 18
Answer: b
Analysis:
6. Observe the following categories: then, …, and then the last two are ()
A.0 1
Answer: b
Analysis:
7. In order to popularize environmental protection knowledge and enhance environmental awareness, a university immediately selected 30 students to take an environmental protection knowledge test, with a score (10 points) as shown in the figure. Assuming that the median score is, the mode is, and the average value is, then ().
A.B.
C.D.
Answer: d
Analysis: The median is 5.5 and the mode is 5, so D is chosen.
8. In order to understand the relationship between son's height and father's height, five pairs of father's and son's height data were randomly selected as follows:
Father's height x (cm)174176176176178.
Son's height is y (cm)175175176177177.
Then the linear regression equation from y to x is
a . y = x- 1 b . y = x+ 1 c . y = 88+d . y = 176
Answer: c
Analysis: linear regression equation,
9. Cut a quadrangular cone from a cuboid, and the geometric figure obtained is as shown on the right, so the left view of the geometric figure is ().
Answer: d
Analysis: the left view is to look from right to left, find the visible points in special positions, and connect them to get the answer.
10. As shown in the figure, a "cam" is placed above the X axis of the rectangular coordinate system, and its "bottom" is at the origin o, a vertex and.
The center m is on the positive semi-axis of the Y axis, and its periphery consists of three equal arcs with the vertex of the regular triangle as the center and the side length of the regular triangle as the radius.
Let the "cam" roll forward along the X axis. In the rolling process, the "cam" always has a "highest point" and its center is constantly moving. In the process of "cam" rolling, the figure formed by its "highest point" and "center point" should be placed up and down, which should be roughly ()
A: A.
Analysis: According to the position of the center M, we can know that the center is not in the middle between the lowest and the highest, but slightly on the upper side. With the rotation, the position of m will become higher first. When c reaches the bottom, m is the highest, excluding the CD option. For the highest point, when m is the highest, the height of the highest point should be the same as before the start of rotation, so exclude B and choose A.
Fill-in-the-blank question: This big question has five small questions, each with 5 points and * * 25 points.
1 1. It is known that the included angle between two unit vectors is, and if the vector is, it is = _ _ _.
Answer: -6.
Analysis: Require *, just bring in the known conditions of the topic and get:
*=(-2)*(3+4)=
Where = 1, == 1* 1*=,
In, the original formula = 3 * 1-2 *-8 * 1 =-6.
(PS: This question is the basic one. Among the college entrance examination questions we have done, the fourth question of Guangdong liberal arts in 2007 and the tenth question on page 73 of Shanghai liberal arts winter vacation handout are almost all original questions. The basic operations of vectors are investigated. Send subtopic (* _ _ *))
If the eccentricity of hyperbola e=2, then m = _ _ _.
Answer: 48.
Analysis: According to hyperbolic equation: knowledge,
, there are: on the hyperbola,
Eccentricity e==2=,
m=48
(PS: Although this question is about analytic geometry, there are some difficult questions in everyone's impression, but it is a very easy score. You only need to know some basic definitions of the solution, and the calculation is not complicated. I have seen Anhui Liberal Arts 14 in 2008 and Fujian Liberal Arts No.4 in 2009. The so-called listening carefully and taking notes frequently have this effect! )
13. The following figure is the program block diagram of an algorithm, and the output result after the program runs is _ _ _ _.
Answer: 27.
Analysis: According to the sequence of the block diagram, S = 0, n = 1, s = (s+n) n = (0+1) *1=1,N = N+ 1 = 2.
S=( 1+2)*2=6, n=3, pay attention to this moment 3 >; It still doesn't work, so we have to recycle it.
S=(6+3)*3=27, n=4, now output, s=27.
(PS: the topic of program block diagram has always been a favorite of everyone. This is a process of cyclic calculation. 20 10 Tianjin liberal arts volume question 3, the examination questions are similar to this)
It is known that the vertex of an angle is the coordinate origin and the starting edge is the positive semi-axis of the X axis. If it is a point on the last side of an angle, then y = _ _ _ _ _ _
Answer: -8.
Analysis: According to the negative sine value, the judgment angle is in the third and fourth quadrants, the abscissa is positive, and the judgment angle is in the fourth quadrant. =
(PS: As you can see, fewer steps mean that the topic is getting easier. And this question is exactly the same as the fifth question on page 10 of our spring class textbook 3. How can you say that the college entrance examination question is a difficult problem? )
15. For, the solution set of inequality is _ _ _ _ _
Answer:. x & gt=0
Analysis: two methods,
Method 1: Divided into three sections,
When x
When x+ 10-x+2,
At the o'clock direction of x>2, x+ 10-x+2, x>2
x & gt=0
Method 2: Using the geometric meaning of absolute value, it can be regarded as the set of all points whose distance difference between two points-10 and 2 is greater than or equal to 8. Draw the number axis, and find that the distance from 0 to-10 is 10, and the distance to 2 is 2. When X moves to the right, the distance difference will be greater than 8, so the range of X that meets the conditions is X.
(PS: This question actually appeared in the last fill-in-the-blank finale. I don't know what the situation is. . . . . More sure that the exams are all based, and! ! In our New Year's Eve class, we talked about the same question, but changed the numbers. It's in the title 15 on page 10 of the New Year's Eve textbook. . It's too difficult! ! Almost everything is the topic we talk about in class ~ ~ So, dear children's shoes, are you still talking about Q in class? )