1. As shown in figure 1, the venn diagram of the relationship between complete works, sets and is known, then the elements of the set shown in the shaded part are * * *.
A.3 B. 2
C.1D. infinite
Let it be a complex number, which means the smallest positive integer. For imaginary units,
A8 b . 6 c . 4d . 2
3. If the function is the inverse of the function and its image passes through the point, then
A.B. C. D。
4. The known geometric series is satisfied, and if,
A.B. C. D。
5. Given the following four propositions:
① If two straight lines in one plane are parallel to another plane, then the two planes are parallel to each other;
(2) If one plane passes through the perpendicular of the other plane, the two planes are perpendicular to each other;
③ Two lines perpendicular to the same line are parallel to each other;
(4) If two planes are perpendicular, a straight line that is not perpendicular to their intersection in one plane is not perpendicular to the other plane. Among them, the true proposition is
A.① and ② B.② and ③ C.③ and ④ D.② and ④
6. A particle is in equilibrium under the action of three forces (Newton) on the plane. If the angle is known and the sizes are 2 and 4, respectively, the size is.
A.6 B.2 C. D
7.20 10 The Organizing Committee of Guangzhou Asian Games will select four volunteers from Xiao Zhang, Xiao Zhao, Xiao Li, Luo Xiao and Xiao Wang Wu to do four different jobs, namely, translation, tour guide, etiquette and driver. If Xiao Zhang and Xiao Zhao can only do the first two tasks, the other three can do these four tasks. The different options are as follows.
A.36 species B. 12 species C. 18 species D.48 species.
8. It is known that two cars, A and B, start from the same starting point and travel along the same route (assuming a straight line). The velocity curves of A and B are respectively (as shown in Figure 2). So for a given graph, the following judgment must be correct.
A. at the moment, car a is in front of car B.
B. after an hour, car a is behind car B.
C. At the moment, the two cars are in the same position.
D. after an hour, car b is in front of car a.
Fill-in-the-blank question: There are 7 small questions in this big question, and the examinee answers 6 small questions, with 5 points for each small question, out of 30 points.
(1) Required questions (9 ~ 12)
9. Randomly select a product, and the measured lengths are respectively, then the digital characteristics of the sample represented by S in the program block diagram shown in Figure 3 are. (Note: The assignment symbol "=" in the block diagram can also be written as "↓"; :=”)。
10. If the plane vector is parallel to the axis, then.
1 1. It is known that the center of an ellipse is at the coordinate origin, the long axis is on the axis, the eccentricity is, and the sum of the distances from the last point to the two focal points is 12, then the equation of an ellipse is.
12. The distribution list of known discrete random variables is shown in the right table. If,,,,.
(2) Choose to do the questions (13 ~ 15, candidates can only choose to do two questions)
13. (coordinate system and parameter equation are selected as questions) If the straight line is perpendicular to the straight line (as a parameter), then.
14. The real number solution of inequality is.
15. As shown in Figure 4, a point is a point on a circle, and the area of the circle is equal to.
Third, the solution: this big question ***6 small questions, out of 80 points. The answer must be written, the proof process and the calculation steps.
16. (The full score of this small question is 12)
Known vectors are perpendicular to each other, where.
( 1);
(2) If, the value of.
17. (The full score of this small question is 12)
According to the difference of air quality index API (integer), air quality can be divided into the following categories:
Monitoring the air quality of a city for one year (365 days), the API data obtained are grouped by intervals, and the frequency distribution histogram is shown in Figure 5.
(1) Find the value in the histogram;
(2) Calculate the days with good air quality and light pollution in a year;
(3) Find the probability that the urban air quality is good or slightly polluted for at least two days in a week.
(The results are expressed in fractions. Known.
)
18. (The full score of this small question is 14)
As shown in fig. 6, it is known that the side length of a cube is 2, point E is the center of a square, and points F and G are the midpoints of the sides respectively. These points are the orthogonal projections of points E and G on the plane.
(1) Find the volume of the pyramid with E as the vertex and the orthogonal projection of the quadrilateral on the plane as the bottom boundary;
(2) proof: straight line;
(3) Find the orthodox value of the angle formed by straight lines on different planes.
19. (The full score of this small question is 14)
It is known that a curve intersects a straight line at the sum of two points, and the plane area (including the boundary) surrounded by the section of the curve between the point and the line segment is. A point is any point in the world, and there is no coincidence between points.
(1) If this point is the midpoint of the line segment, try to find the trajectory equation of the midpoint of the line segment;
(2) If the curve and the point have a common point, try to find the minimum value.
20. (The full score of this short question is 14)
It is known that the image of the derivative function of quadratic function is parallel to the straight line, and the minimum value is obtained at.
(1) The value of if the minimum value of the distance from point to point on the curve is;
(2) How to find zero when the function has zero?
2 1. (The full score of this small question is 14)
Known curve. Draw a tangent with slope from point to curve, and the tangent point is.
(1) Find the general term formula of the sequence;
(2) prove that:
The answer/edu/2009-06/09/content _11512743.htm has no choice. What you said is all rubbish answers. Why not read it yourself/thread-34547-1-1.html.