Zhengzhou No.1 Middle School and Kaifeng High School
Luoyang No.1 Middle School and Xinyang High School
Mathematics examination questions (science)
This paper is divided into two parts: the first volume (multiple choice questions) and the second volume (non-multiple choice questions). After the exam, you should return the second paper together with the answer sheet.
volume one
First, multiple choice questions
1."| x | < 2" is x2-x-6 < 0 ().
A. Sufficient and unnecessary conditions B. Conditions that are neither sufficient nor necessary
C. Necessary and sufficient conditions D. Necessary and sufficient conditions
2. If only the binomial coefficient of the sixth item in () n expansion is the largest, then the constant item in the expansion is ().
180 D.360
3. It is known that the right focus of hyperbola is f, and if there is only one intersection point between the straight line passing through point f and the right branch of hyperbola, the eccentricity range of hyperbola is ().
A.()B. C。
4. It is known that the angles formed by two straight lines A and B on different planes are 40, and the angles formed by straight line L and A and B are all equal to θ, so the range of θ is () A.B.C.D 。
5. Make it a non-zero vector. If the image of the function is a straight line, there must be ().
A.B. C. D。
6. In △ABC ∠ c = 120, then Tana? The value of tanB is ()
A.B. C. D。
7. If the random variable ξ obeys the normal distribution ξ ~ n (3 3,2) η =, then the expectation of the random variable η is () a.0b.c.d 。
8. If the cosine values of the three internal angles of △A 1B 1C 1 are the sine values of the three internal angles of △A2B2C2, then ().
A.△ A 1B 1C 1 and △A2B2C2 are all acute triangles.
B.△ A 1B 1C 1 is an obtuse triangle, and △A2B2C2 is an acute triangle.
C.△ A 1B 1C 1 is an acute triangle △A2B2C2 is an obtuse triangle.
D.△ A 1B 1C 1 and △A2B2C2 are obtuse triangles.
9. In series an, ()
A.B. C. D。
10. The function is derivable in the domain R. If < 0, () is set.
a