Note to candidates:
1. This paper has 23 questions on 4 pages, with full marks of 150. Examination time 120 minutes.
2. This exam is divided into examination paper and answer sheet. The test paper includes test questions and answer requirements. The answers must be drawn (multiple choice questions) or written on the answer sheet (non-multiple choice questions), and all the answers on the test paper will not be scored.
3. Before answering the question, be sure to fill in the name and admission ticket number clearly on the front of the answer sheet with a pen or ballpoint pen, and stick the checked barcode at the designated position, and fill in the name clearly on the back of the answer sheet.
1. Fill in the blanks (this big question * * *, 14, out of 56). Candidates should directly fill in the corresponding numbered blanks on the answer sheet, and get 4 points for each blank, otherwise get 0 points.
(a) Sufficient non-essential conditions
(2) Necessary but insufficient conditions
(c) Necessary and sufficient conditions
(d) It is neither sufficient nor necessary.
16. As shown in the figure, in the cube ABCD? In a1b1c1d1,where e and f are the midpoint of BC and BB 1 respectively, the following straight line intersects with the straight line EF ().
Straight line AA 1
The straight line A 1B 1
(c) straight line A 1D 1
Pipeline B 1C 1
The logarithm of the number pair (a, b) is ()
1
(B)2
(C)3
(D)4
18. Let f(x), g(x) and h(x) be three functions whose domain is R. For the proposition: ① If f(x)+g(x), f(x)+ h(x) are all increasing function, then
(A)① and ② are true propositions; (B) ① and ② are false propositions.
(C)① is a true proposition, ② is a false proposition (D)① is a false proposition, ② is a true proposition.
20 18 Anhui college entrance examination mathematics simulation problem three. Solving problems (this big question * * *, a total of 5 questions, out of 74 points) To solve the following problems, you must write the necessary steps in the designated area corresponding to the numbers on the answer sheet.
19. (The full score of this question is 12) There are two small questions in this question. The full score of the first 1 question is 6, and the full score of the second one is 6.
(1) Find the volume and lateral area of the cylinder;
(2) Find the angle between the straight line O 1B 1 and oc.
20. (The full score of this question is 14) There are two small questions in this question. The full score of the first 1 question is 6, and the full score of the second one is 8.
There is a square vegetable field where EFGH and EH are located. In a small river, the harvested vegetables can be transported to Point F or the river. Therefore, the vegetable field is divided into two areas, S 1 and S2, in which the vegetables of S 1 are transported to the place close to the river, while the vegetables of S2 are transported to the place close to the point F, and the distance between the point on the boundary line C of S 1 and the vegetable field S2 is equal to the distance from the river to the point F. Now a plane rectangular coordinate system has been established.
(1) Find the equation of vegetable field dividing line c;
(2) Vegetable farmers estimate that the area of S 1 is twice that of S2, so the "empirical value" of S 1 is 8/3. Let m be the point with the ordinate of 1 on C. Please calculate the area of a rectangle with EH as one side and the other side passing through M, and the area of a pentagon EOMGH to determine which one is closer to S.
2 1. (The full score of this question is 14) There are two small questions in this question. The full score of the first 1 question is 6, and the full score of the second one is 8.