Top secret ★ Before activation
20 10 National Unified Examination for Enrollment of Ordinary Colleges and Universities
Science Mathematics (Compulsory+Elective 2)
This paper is divided into two parts: the first volume (multiple choice questions) and the second volume (non-multiple choice questions). Volume 1 1 to 2 pages. Volume II 3
Turn to page four. After the exam, return this paper together with the answer sheet.
volume one
Note: College Entrance Examination Resource Network
1. Before answering questions, candidates must clearly fill in their name and admission ticket number on the answer sheet with a black ink pen with a diameter of 0.5 mm, and affix the bar code. Please carefully approve the admission ticket number, name and subject on the bar code.
2. After choosing the answer to each small question, black the answer label of the corresponding question on the answer sheet with 2B pencil. If you need to change it, clean it with an eraser, and then choose another answer label. The answer on the test paper is invalid.
3. Volume 1 *** 12 small questions, with 5 points for each small question and 60 points for * * *. Of the four options given in each question, only one meets the requirements of the topic. www.ks5u.com
Reference formula:
If the events are mutually exclusive, then the surface area formula of the ball
If the events are independent of each other, then r represents the radius of the ball.
Volume formula of ball
If the probability of event A in the test is 0, then
In sub-independent repeated tests, the probability of the exact number of times an event occurs, where r represents the radius of the ball.
College entrance examination resource network
I. Multiple choice questions
(1) complex number
(A) 12- 13(D) 12+ 13
(2) Remember, then
A.b-C.D. College Entrance Examination Resource Network
(3) If the variable satisfies the constraint conditions, the maximum value is
(A)4 (B)3 (C)2 (D) 1 [from college entrance examination resource network: www.ks5u.com]
(4) All geometric series of known positive numbers {}, =5, = 10, then =
Article 7, paragraph 3, paragraph 6, paragraph 4
(5) The unfolding coefficient X is the college entrance examination resource network.
(A) -4 (B) -2 (C) 2 (D) 4
(6) A school offers 3 elective courses of Class A and 4 elective courses of Class B, and a classmate chooses 3 courses from them. If at least one of the two courses is required, then the different choice method is * * *
(1) 30 kinds (2) 35 kinds (3) 42 kinds (4) 48 kinds of college entrance examination resource networks
(7) In cubic ABCD-, the cosine of the angle between B and plane AC is
A B C D
(8) Let A = 2, B = in2 and C =, then
A A<B<C BB<C<A C<A<B D C<B<, a college entrance examination resource network.
(9) If it is known that it is the left and right focus of hyperbola C:, and point P is on C, ∞ =, then the distance from P to X axis is
(A) (B) (C) (D)
(10) The function F(x)=|lgx| is known, if 0
(A) (B) (C) (D)
(1 1) Given that the radius of circle O is I, PA and PB are two tangents of the circle, and A and B are two tangents, the minimum value is
(1) (2) (3) (4) College Entrance Examination Resource Network
(12) It is known that there are four points A, B, C and D on the sphere with radius 2. If AB=CD=2, the maximum volume of tetrahedral ABCD is
(A) (B) (C) (D) KS5U
Top secret ★ Before activation
20 10 National Unified Examination for Enrollment of Ordinary Colleges and Universities
Science Mathematics (Compulsory+Elective 2)
The second volume KS5U
Precautions:
1. Before answering the questions, candidates should mark their names and entrance exams on the answer sheet with a black ink pen with a diameter of 0.5mm..
Fill in the certificate number clearly, and then stick a bar code. Please carefully approve the admission ticket number, name and subject on the bar code.
2. Book 2 ***2, please mark the answer area of each question on the answer sheet with a black ink pen with a diameter of 0.5 mm.
The answer in the test paper is invalid.
3。 The second volume ***l0 events, ***90 points.
Fill-in-the-blank question: This big question has four small questions, each with 5 points and ***20 points. Fill in the answers on the lines of the questions.
(Note: the answer on the test paper is invalid) KS5U
The solution set of (13) inequality is.
(14) is known as the angle of the third quadrant, then.
(15) If there are four intersections between a straight line and a curve, the value range of is.
(16) is known as the focus of the ellipse, the endpoint of the short axis and the extension line of the line segment intersect with the point.
Moreover, the eccentricity of is KS5U.
3. Solution: This big question is ***6 small questions, with a score of ***70. The solution should be written in proof process or calculus steps.
(17) (the full mark of this small question is 10) (note: the answer on the test paper is invalid) KS5U.
Given the internal angle, and its opposite side, satisfy and find the internal angle.
(18) (The full mark of this small question is 12) (Note: the answer on the test paper is invalid)
The manuscript submitted to the magazine is first reviewed by two preliminary experts. If we can pass the evaluation of two preliminary evaluation experts,
Then be hired; Two preliminary evaluation experts are unqualified and will not be hired; If you can just pass the evaluation of the preliminary evaluation experts.
The first trial will be conducted, and then the third expert will review it. If it can pass the review of the review expert, it will be hired, otherwise it will not be recorded.
Suppose that the probability that the manuscript can pass the expert review in the first instance is 0.5, and the probability that the manuscript can pass the review is 0.3.
Independent evaluation by experts. . KS5U
(i) Find out the probability that 1 articles submitted to the magazine will be hired;
(II) Record the number of articles accepted, distribution lists sought and expectations among the four articles submitted to the magazine.
[Source: Subject Network]
(19) (The full mark of this small question is 12) (Note: the answer on the test paper is invalid) KS5U.
As shown in the figure, in the S-ABCD of a quadrangular pyramid, the bottom surface of SD is ABCD, AB//DC, AD DC, AB=AD= 1, DC=SD=2, E is a point on the side, and the plane EDC is SBC.
(i) Proof: SE = 2EB；;
(Ⅱ) Find the size of dihedral angle A-de-c. 。
(20) (Full score for this small question 12) (Note: the answer on the test paper is invalid) KS5U
Known function.
(i) If yes, the range of values to be found;
(ii) Evidence:
(2 1) (The full mark of this small question is 12) (Note: the answer on the test paper is invalid)
It is known that the focus of parabola is f, the straight line passing through this point intersects with two points, and the symmetrical point of point A about the axis is d ks5u.
(i) prove that the point f is on the straight line BD; KS5U
(Ⅱ) Set and find the equation of inscribed circle m 。
(22) (The full mark of this small question is 12) (Note: the answer on the test paper is invalid)
In the known series,.
(i) Set and find out the general formula of the sequence;
(ii) Find the range of values that make the inequality valid. KS5U