The title is 1 23455 6789 10.
Answer A B D C D B C B C A
Two. Fill in the blanks (5 points for each small question)
1 1. 12。 13。 - 1 14。 15。
Third, answer questions.
........................., two points.
And 2R=, obtained by sine theorem:
Simplified: 4 points.
According to cosine theorem:
............... 1 1 min
So, 12 points.
17. solution: (1) note that event A= "all the team members sent by this unit are male employees" ............................................................................................... 1 minute.
P (a) = 3 points for ........................
(2) Record event B= "Male and female employees of this unit participate in the competition" .....................................................................................................................................................
Then p (b) = .................'s first step, second step, third step and fourth step.
(III) Assuming that the probability of winning the prize of at least one player in the unit is p, then
Or 12 points.
18. (Solution 1) (i) Let the midpoint of AB be q and connect PQ, so the angle formed by AC and BD is 2 points.
CD=BD= 1，PQ= 1，DQ= 1。
.........................., 4 points.
(II) after d, connecting CR,
......................... scored six points.
Yes,
............................, eight.
Nine points
(Solution 2) (1) As shown in the figure, a rectangular coordinate system is established with D as the coordinate origin and the straight lines of DB, AD and DC as the X, Y, Z, Y and Z axes respectively. Then a (), c (0 0,0, 1), b (1, 0,0), p (), d (0 0,0,0).
, ... 2 points
Therefore, the cosine of the angle formed by non-planar straight lines AC and BD is 4 points.
(II) The normal vector of the surface DAB is ... 5 points.
Set the normal vector of surface ABC, and then
Here, ...................., 7 points.
rule
............................, eight.
.........................., 9 points.
(iii) Does not exist. If there is an s that makes AC, then it is contradictory to (I). So there is no … 12 points.
19. Solution: (i) Decreasing in the interval and its derivative function ..................... 1 min.
.........................., 4 points.
Therefore, it is a necessary condition, but not a sufficient condition that the function decreases in the interval. ............................... scores 5 points.
㈡
......................... scored six points.
When a>0, the function increases on (), decreases on and increases on, so there is.
Nine points
When a < 0, the function is incremented as long as
Order, then 1 1 min.
The world has once again increased.
It can't last forever.
Therefore, the range of the value of a is 12 points.
20. Solution: (i) According to the conditions, the distance from m to f (1, 0) is equal to the distance to the straight line x=-1, so curve C is a parabola with F as the focus and the straight line x=-1 as the trend, and its equation is as follows
(II) If assumed and replaced, it will be
According to Vieta theorem
,
......................... scored six points.
As long as you change the coordinates of point A to, you will get ... 7 points.
............................, eight.
Therefore, when the chords PQ and RS are minimum, the equation of the straight line is:
In other words, it is still 9 points.
(3), that is, a, t and b three-point connection.
Whether there is a certain point T makes it possible to find out whether the straight line AB intersects with a fixed point.
According to (II), the equation of straight line AB is ... 10 minute.
That is, the straight line AB passes through the fixed point (3,0). ...........................................................................................................................................................
Therefore, there exists a certain point t (3 3,0), so that
2 1. Solution: (i) Because the tangents of the curves are parallel.
.........................., 4 points.
,
(iii) I learned from (ii): =
, so ... so ... so ... so.
June 25(th), 2008