2023版高考数学一轮复习第四章三角函数解三角形第三节三角函数的

本文格式为Word版，下载可任意编辑——2023版高考数学一轮复习第四章三角函数解三角形第三节三角函数的theirnervoussystemsandabilitytoproducebabybirds,andcanleadtokidney(肾)failuresanddeath.SocondorswithhighlevelsofleadaresenttoLosAngelesZoo,wheretheyaretreatedwithcalciumEDTA,achemicalthatremovesleadfromthebloodoverseveraldays.Thisworkisstartingtopayoff.Theannualdeathrateforadultcondorshasdroppedfrom38%in2000to5.4%in2023.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.(2023北京海淀期中)已知函数f(x)=cosx-sinx,以下结论错误的是()A.f(x)=cos2x

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πD.f(x)的值域为[-,

]

3.函数y=2sinA.2-B.0C.-1

(0≤x≤9)的最大值与最小值之和为()D.-1-

theirnervoussystemsandabilitytoproducebabybirds,andcanleadtokidney(肾)failuresanddeath.SocondorswithhighlevelsofleadaresenttoLosAngelesZoo,wheretheyaretreatedwithcalciumEDTA,achemicalthatremovesleadfromthebloodoverseveraldays.Thisworkisstartingtopayoff.Theannualdeathrateforadultcondorshasdroppedfrom38%in2000to5.4%in2023.4.(2023北京石景山统测)以下函数中,最小正周期为π且函数图象关于直线x=对称的是()

A.y=2sinB.y=2sin

C.y=2sinD.y=2sin

5.(2023北京丰台二模)已知函数f(x)=|sinx|,x∈[-2π,2π],则方程f(x)=的所有根的和等于(A.0B.π

C.-πD.-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.(2023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.(2023北京,16,13分)已知函数f(x)=cos-2sinxcosx.

(1)求f(x)的最小正周期;

(2)求证:当x∈时,f(x)≥-.

)theirnervoussystemsandabilitytoproducebabybirds,andcanleadtokidney(肾)failuresanddeath.SocondorswithhighlevelsofleadaresenttoLosAngelesZoo,wheretheyaretreatedwithcalciumEDTA,achemicalthatremovesleadfromthebloodoverseveraldays.Thisworkisstartingtopayoff.Theannualdeathrateforadultcondorshasdroppedfrom38%in2000to5.4%in2023.

9.(2023北京东城期末)已知函数f(x)=2

sinax·cosax+2cosax-1(02

(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.

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