their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011. 第三节 三角函数的图象与性质
A组 基础题组
1.函数y=tan的定义域是( )
A.
B.
C.
D.
4
4
2.(2016北京海淀期中)已知函数f(x)=cosx-sinx,下列结论错误的是( ) A.f(x)=cos 2x
B.函数f(x)的图象关于直线x=0对称 C.f(x)的最小正周期为π D.f(x)的值域为[-,
]
3.函数y=2sinA.2- B.0 C.-1
(0≤x≤9)的最大值与最小值之和为 ( ) D.-1-
their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011. 4.(2014北京石景山统测)下列函数中,最小正周期为π且函数图象关于直线x=对称的是( )
A.y=2sin B.y=2sin
C.y=2sin D.y=2sin
5.(2015北京丰台二模)已知函数f(x)=|sin x|,x∈[-2π,2π],则方程f(x)=的所有根的和等于( A.0 B.π
C.-π D.-2π
6.已知函数f(x)=2sin(ωx+φ),对于任意x都有f=f,则f的值为.
7.(2017北京西城二模)已知函数f(x)=tan.
(1)求f(x)的定义域;
(2)设β是锐角,且f(β)=2sin,求β的值.
8.(2017北京,16,13分)已知函数f(x)=cos-2sin xcos x.
(1)求f(x)的最小正周期;
(2)求证:当x∈时, f(x)≥-.
) their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011.
9.(2018北京东城期末)已知函数f(x)=2
sin ax·cos ax+2cosax-1(0
2
(1)当a=1时,求f(x)在区间上的最大值与最小值;
(2)当f(x)的图象经过点
时,求a的值及f(x)的最小正周期.
B组 提升题组
10.若函数f(x)=sin(ω>0)的图象的相邻两条对称轴之间的距离为,且该函数图象关于点
(x0,0)中心对称,x0∈,则x0=( )
A. B. C. D.
11.(2014北京顺义第一次统练)已知函数f(x)=cos①函数f(x)是最小正周期为π的奇函数; ②函数f(x)图象的一条对称轴是直线x=
;
-cos 2x,x∈R,给出下列四个结论: