First, multiple choice questions
1, (Jiangsu Qidong Middle School Senior Three Comprehensive Test 3) Known sin2? =- , ? ∈ (-π 4,0), then what's the crime? +cos？ =
A.- BC-BC.
Answer: b
2. If the minimum value of the function f (x) = asinx-bcosx at x= is -2, then the values of constants A and B are
A.a=- 1，b = 3b . a = 1，b =-3c . a = 3，b =- 1d . a =-3，b= 1
Answer: d
3. (Jiangsu Qidong Middle School Senior Three Comprehensive Test 4) An even function is known, and one value that can be taken is ().
A.π6 B.π3 C.-π6 D.-π3
Answer: d
4. (In 2008, the second joint entrance examination of Sichuan Bashu League Grade Three) In △ABC, the corners A, B and C became arithmetic progression.
A. Necessary and sufficient conditions B. Necessary and sufficient conditions
C. Necessary and insufficient conditions D. Neither sufficient nor necessary conditions
Answer: b
5. (Adaptability Test for Grade 2008 First Visit of Xindu No.1 Middle School in Chengdu, Sichuan Province) If the function f (x) = asinx-bcosx (A and B are constants, a≠0, x∈R) takes the minimum value at x = π 4, then the function y = f (3 π 4-x) is ().
A. Even function and its image are symmetric about point (π, 0) B. Even function and its image are symmetric about point (3π2, 0).
C. odd function and its image are symmetric about point (3 π 2,0). D. odd function and its image are symmetric about point (π 2,0).
Answer: d
6. (First diagnosis in Chengdu, Sichuan) If the starting edge of angle α is the non-negative semi-axis of X axis, the vertex is the coordinate origin, and point P (-4,3) is a point on its final edge, then the value of cosα is
a、45B、-35C、-45D、35
Answer: c cos α = xr =-45. Choose C.
7. (A clinic in Chengdu, Sichuan) After vector translation of the image of the function, the image of the function is obtained, and the sum values are in turn
A.B. C. D。
Answer: c y = sin2x You get y = sin (2x+π 3)-3 by vector translation. Choose C.
8, (Leshan City, Sichuan Province, the first measurement exam in 2008) set the opposite sides of three internal angles as, if ()
A. sufficient and unnecessary conditions; B. necessary and insufficient conditions; C. necessary and sufficient conditions; D. it is neither a sufficient condition nor a necessary condition;
Answer: b
9. (Monthly Exam of Grade 2008 in Chengdu Xindu No.1 Middle School, Sichuan 65438+February) In triangle ABC, "COSA+Sina = COSB+SINB" means "C = 90" ()
A, sufficient and unnecessary conditions B, necessary and insufficient conditions
C, necessary and sufficient condition D, neither sufficient nor necessary condition
This topic mainly investigates trigonometric functions in triangles, their basic properties and necessary and sufficient conditions.
Analysis: When C = 90, A and B are complementary, SINA = COSB, cosA=sinB, COSA+SINA = COSB+SINB holds.
But when a = b, there is COSA+Sina = COSB+SINB.
Therefore, "COSA+SINA = COSB+SINB" is a necessary and sufficient condition for "C = 90".
Answer: b
10, (2008, Huainan City, Anhui Province), the intersection of the curve y=2sin on the right side of the Y axis and the straight line is marked as P 1, P2, P3, … arranged in descending order of abscissa, then |P2P4| equals (▲).
A.b . 2 c . 3d . 4
A: A.
56, (Hefei, Anhui Province in 2008 the first quality inspection level 3) known Angle in the first quadrant, then
A.B. C. D。
Answer: c
57. (Hebei Hengshui fourth exam in 2008) Simplification equals ()
A. BC-1
Answer: d
58, (positive definite middle school, Hebei Province, 2008), then
A.B. C. D。
A: A.
59. (One Model of positive definite middle school High School in 2008) In China, it is known that sinC=2sin(B+C)cosB, so it must be.
A. isosceles right triangle B. isosceles triangle C. right triangle D. equilateral triangle
Answer: b
60, (positive definite middle school, Hebei Province, the fourth monthly exam of senior three in 2008) and, it is equal to ().
A.B. C. D。
Answer: c
6 1, (positive definite middle school, Hebei Province, the fifth monthly exam of senior three in 2008), a symmetric equation is ().
A B C D
A: A.
62. (First Quality Inspection of Grade Three in Kaifeng City, Henan Province in 2008) Among the following functions, (0,) is increasing function, and () is an even function with the smallest positive period.
A.B. C. D。
Answer: d
63. (Puyang City, Henan Province, 2008 Senior Three Examination) Known = k (0
A. it increases with the increase of k.
B. sometimes it increases with the increase of k, and sometimes it decreases with the increase of k.
C. it decreases with the increase of k.
D. is a constant independent of k.
A: A.
64, (Henan Shangcai No.1 Middle School in March 2008) is equal to
A.- 12b . 12C。 -32d . 32
Answer: b
65. (Henan Shangcai No.1 Middle School in March 2008) Let the opposite side of the middle school be the length, then the positional relationship between the sum of straight lines is
A. Parallel B. Vertical C. Coincidence D. Intersecting but not perpendicular
Answer: b
66. (Quality Evaluation of Xuchang City, Henan Province at the end of last semester in 2008) In order to get the image of function y = sin (2x-π 3), the image of y = sin2x can be used.
A. translate π3 units to the right. B. translate π 3 units to the left.
C. move π6 units to the right. D. shift π6 units to the left.
Answer: c
67. (The third mock exam in Harbin No.9 Middle School in Heilongjiang Province in 2008), then ()
A.B. C. D。
A: A.
68. (No.3 Middle School in Harbin, Heilongjiang Province, at the end of senior three in 2008) If = ()
A.B. C. D。
Answer: d
69. The minimum positive period of the function (at the end of senior three in Harbin No.3 Middle School in Heilongjiang Province in 2008) is ().
A. D.4 in 2 BC
Answer: b
70. (At the end of the third year of senior high school in Harbin No.3 Middle School in Heilongjiang Province in 2008) Let A and B be the inner corners of △ABC, and the value of △ ABC is ().
A. b .-c .-d .- Or-
Answer: b
7 1, (the high school affiliated to Harbin Normal University in Heilongjiang Province at the end of the last year in 2008) is known to be equal to ().
A.B. C. D。
Answer: b
72. (At the end of the third year of high school affiliated to Harbin Normal University in Heilongjiang Province in 2008) The image obtained by function translation is symmetrical about the Y axis, so the minimum value of m is ().
A.B. C. D。
Answer: b
73. (Hubei No.8 Middle School took the second senior high school entrance examination in 2008) It is known that the value is ().
ABC or d
Answer: b
74. (Tested by three schools in Hubei Province in February 2008) If, the value is ().
A.23 B. 13 C.- 13 D.-23
Answer: c
75, (Hubei Union High School February 2008 examination questions) The image of the function is translated along the axis in units, and the obtained image is symmetrical about the origin, so the minimum value is ().
A.B. C. D。
Answer: b
76, (Ezhou City, Hubei Province, 2008 college entrance examination simulation) function image as shown in the figure, then the analytical formula and the value of () are respectively.
A.,
B.,
C.,
D.,
Answer: B observes the graph and knows only,,, and takes 4 as the cycle.
8 1, (Huanggang City, Hubei Province, autumn 2007 senior three final exam) The radical sign on the equation is
A 1 B 2 C 3 D 4
Answer: b
82. (Jingmen City, Hubei Province, last semester in 2008) In the middle, the shape must be ()
A. right triangle B. isosceles triangle
C. isosceles right triangle
Answer: b
83. (Jingmen City, Hubei Province, last semester, 2008) After translating the image of the function according to the vector, the obtained image is symmetrical about the Y axis, and the minimum value is ().
A, B, C, D,
Answer: b
84. (Jingmen City, Hubei Province, last semester in 2008) Some images of known functions are shown below. If, then ()
Answer: d
85, (Jingzhou City, Hubei Province, 2008 high school graduating class quality inspection),, is equal to.
or
Answer: d
86. The minimum positive period of the function is 1.
A. Sufficient and unnecessary conditions B. Necessary and insufficient conditions
C. Necessary and sufficient conditions D. It is neither a sufficient condition nor a necessary condition
A: A.
87. (In 2008, Hunan Province 12 Grade Three Entrance Examination) is known, and the value is ().
A.B. C. D。
Answer: d
88. (The Sixth Monthly Exam of Senior Three in Changsha No.1 Middle School, Hunan Province in 2008) In △ABC, it is known that Sina: sinb: sinc = 1: 1:, while S△ABC= 12, the value is.
2b BC -2D. -
Answer: c
89. The minimum positive period of a function and an equation of the symmetry axis of its image are () respectively.
A.B. C. D。
Answer: d
90. (Jilin City, Jilin Province, at the end of the last session in 2008) If the function is known, then ()
A. The minimum value of the function is-1, and the minimum value is 0B. The minimum value of the function is -4, and there is no maximum value.
C. The function has no minimum value, and the maximum value is 0D. The minimum value of this function is -4 and the maximum value is 0.
Answer: c
9 1, (Jilin City, Jilin Province, last semester, 2008) Known: = ()
a . 1b . 2c-2D。
Answer: c
92. (The fifth simulation test in the third day of junior high school in Jilin Province in 2008) Move all the points on the image of function r) to the left by one unit length, and then expand the abscissa of each point on the image to twice the original (the ordinate is unchanged), then the analytical formula of the obtained image is ().
A.B.
C.D.
Answer: b
93. (Yancheng City, Jiangsu Province in 2008, senior high school entrance examination) Among the following four functions, the even function that is both the increasing function in the world and the π cycle is ().
a、y = cos2xB、y = | sin2x | C、y = | cosx | D、y=|sinx|
Answer: d
94. (Yancheng City, Jiangsu Province, 2008 Senior Three Six School Entrance Examination) Let A = SIN 15+COS 15 and B = SIN 17+COS 17, then the correct one in the following categories is ().
A, B,
C, D,
Answer: b
95. (The first simulation of senior three in Yingtan City, Jiangxi Province in 2008) Q is called the second quadrant, SINQ 2.
A.(- 1，0 ) B. ( 1，2)c .( 1， 1 ) D. ( -2，- 1)
Answer: d
96. The image of the function f (x) = 2sin (2x-) is c,
(1) The image c is symmetrical about the straight line x=;
② The function f(x) is increasing function in the interval ();
③ Move the image to the right by one unit length to get the image C.
a . 0b . 1c . 2d . 3
Answer: c
97. (Jinan City, Shandong Province, February 2008, senior three unified examination) In the acute triangle ABC, if, then the range is
A. (0,2) BC
Answer: c
98. (Jinan City, Shandong Province, February 2008, senior three unified examination) Translate the image of function y = cosx-3sinx to the left (where m > 0) units, and the obtained image is symmetrical about y, then the minimum value of m is
a .π6b .π3c . 2π3d . 5π6
Answer: c
99. (The third diagnostic test of senior three in Shandong Experimental Middle School in 2008) If the value is ()
A.B.- 12
Answer: c
100, (Third Diagnostic Test of Grade Three in Shandong Experimental Middle School, 2008) Move the image of the function to the left by unit, and some curves obtained are shown in the following figure, so the values of, and are () respectively.
A. 1，π3 b . 1，-π3
C.2，π3d . 2，-π3
Answer: d
10 1, (the fourth monthly exam of senior three in experimental middle school in 2007-2008) will be translated, so the analytical formula of the translated image is ().
A.B.
C.D.
A: A.
102, (the fourth monthly exam of senior three in experimental middle school in 2007-2008 school year) If ()
A.B. C. D。
Answer: c
103, (the final exam of the first semester of the 2007-2008 school year in Yuncheng No.1 Middle School, Shandong Province) gives the following three propositions: ① The minimum positive period of a function is ② the function monotonically increases in the interval; ③ It is the symmetry axis of the function image. Number of correct propositions ()
a . 0b . 1c . 2d . 3
Answer: c
104, (the final exam of the first semester of the 2007-2008 school year in Yuncheng No.1 Middle School, Shandong Province) defines an operation, and the maximum value of the function is ().
A.B. 1
A: A.