三角函數(shù)的圖象與性質(zhì)課件

2-1-知識(shí)梳理雙基自測(cè)34151.下列結(jié)論正確的打“√”,錯(cuò)誤的打“×”.(1)y=cosx在第一、二象限內(nèi)是減函數(shù).(

)(2)若y=ksinx+1,x∈R,則y的最大值是k+1.(

)(3)若非零實(shí)數(shù)T是函數(shù)f(x)的周期,則kT(k是非零整數(shù))也是函數(shù)f(x)的周期.(

)(5)函數(shù)y=tanx在整個(gè)定義域上是增函數(shù).(

)答案答案關(guān)閉(1)×

(2)×

(3)√

(4)×

(5)×

2-1-知識(shí)梳理雙基自測(cè)34151.下列結(jié)論正確的打“√”,-2-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案解析關(guān)閉-2-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案-3-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案解析關(guān)閉-3-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案-4-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案解析關(guān)閉-4-知識(shí)梳理雙基自測(cè)23415答案解析解析關(guān)閉答案-5-知識(shí)梳理雙基自測(cè)234155.函數(shù)

的單調(diào)遞增區(qū)間是

.

答案解析解析關(guān)閉答案解析關(guān)閉-5-知識(shí)梳理雙基自測(cè)234155.函數(shù)-6-考點(diǎn)1考點(diǎn)2考點(diǎn)3答案答案關(guān)閉-6-考點(diǎn)1考點(diǎn)2考點(diǎn)3答案答案關(guān)閉-7-考點(diǎn)1考點(diǎn)2考點(diǎn)3-7-考點(diǎn)1考點(diǎn)2考點(diǎn)3-8-考點(diǎn)1考點(diǎn)2考點(diǎn)3-8-考點(diǎn)1考點(diǎn)2考點(diǎn)3-9-考點(diǎn)1考點(diǎn)2考點(diǎn)3解題心得1.求三角函數(shù)的定義域通常要解三角不等式(組),解三角不等式(組)常借助三角函數(shù)線或三角函數(shù)的圖象.2.求三角函數(shù)值域、最值的方法:(1)利用sin

x和cos

x的值域直接求.(2)形如y=asin

x+bcos

x的三角函數(shù)化為y=Asin(ωx+φ)的形式求值域;形如y=asin2x+bsin

x+c的三角函數(shù),可先設(shè)sin

x=t,化為關(guān)于t的二次函數(shù)求值域(最值).(3)利用sin

x±cos

x和sin

xcos

x的關(guān)系轉(zhuǎn)換成二次函數(shù)求值域.-9-考點(diǎn)1考點(diǎn)2考點(diǎn)3解題心得1.求三角函數(shù)的定義域通常要-10-考點(diǎn)1考點(diǎn)2考點(diǎn)3對(duì)點(diǎn)訓(xùn)練1(1)已知f(x)的定義域?yàn)閇0,1],則f(cosx)的定義域?yàn)?/p>

.

(2)函數(shù)y=sinx-cosx+sinx·cosx,x∈[0,π]的值域?yàn)?/p>

.

答案答案關(guān)閉-10-考點(diǎn)1考點(diǎn)2考點(diǎn)3對(duì)點(diǎn)訓(xùn)練1(1)已知f(x)的定義-11-考點(diǎn)1考點(diǎn)2考點(diǎn)3-11-考點(diǎn)1考點(diǎn)2考點(diǎn)3-12-考點(diǎn)1考點(diǎn)2考點(diǎn)3-12-考點(diǎn)1考點(diǎn)2考點(diǎn)3-13-考點(diǎn)1考點(diǎn)2考點(diǎn)3答案答案關(guān)閉

(1)C

(2)A

-13-考點(diǎn)1考點(diǎn)2考點(diǎn)3答案答案關(guān)閉(1)C(-14-考點(diǎn)1考點(diǎn)2考點(diǎn)3-14-考點(diǎn)1考點(diǎn)2考點(diǎn)3-15-考點(diǎn)1考點(diǎn)2考點(diǎn)3-15-考點(diǎn)1考點(diǎn)2考點(diǎn)3-16-考點(diǎn)1考點(diǎn)2考點(diǎn)3解題心得1.求較為復(fù)雜的三角函數(shù)的單調(diào)區(qū)間時(shí),首先把三角函數(shù)式化簡(jiǎn)成y=Asin(ωx+φ)(ω>0)的形式,然后求y=Asin(ωx+φ)的單調(diào)區(qū)間,只需把(ωx+φ)看作一個(gè)整體代入y=sin

x的相應(yīng)單調(diào)區(qū)間內(nèi)即可,注意要把ω化為正數(shù).2.已知函數(shù)在某區(qū)間上單調(diào)求參數(shù)ω的范圍的解法:先確定出已知函數(shù)的單調(diào)區(qū)間,再利用已知的單調(diào)區(qū)間為函數(shù)的單調(diào)區(qū)間的子集的關(guān)系求解.-16-考點(diǎn)1考點(diǎn)2考點(diǎn)3解題心得1.求較為復(fù)雜的三角函數(shù)的-17-考點(diǎn)1考點(diǎn)2考點(diǎn)3答案