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3.4.2三角函數(shù)的性質(zhì)(2)(精練)(基礎(chǔ)版)題組一題組一解析式1.(2022·湖北省廣水市實(shí)驗(yàn)高級(jí)中學(xué))若函數(shù)SKIPIF1<0(SKIPIF1<0,SKIPIF1<0)的部分圖象如圖所示,則SKIPIF1<0的值是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02(2022·安徽省宣城中學(xué)高三開(kāi)學(xué)考試)已知函數(shù)SKIPIF1<0的部分圖象如圖所示,其中SKIPIF1<0,SKIPIF1<0,則函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<03.(2022·河南·南陽(yáng)中學(xué))函數(shù)SKIPIF1<0的部分圖象如圖所示,則SKIPIF1<0可能是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.(2022·福建福州·高三期末)已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則SKIPIF1<0的單調(diào)遞增區(qū)間為(
)A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<05.(2022·山西呂梁·一模(文))設(shè)函數(shù)SKIPIF1<0在SKIPIF1<0的圖象大致如圖所示,則SKIPIF1<0的最小正周期為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.(2022·山西太原)已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則函數(shù)的表達(dá)式是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<07.(2022·四川宜賓)函數(shù)SKIPIF1<0的部分圖象如圖所示,則SKIPIF1<0(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<08.(2022·四川內(nèi)江)已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間為(
)A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<09.(2022·廣東深圳)如圖是函數(shù)SKIPIF1<0的部分圖象,則下列說(shuō)法正確的是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<010.(2022·江蘇·徐州市第七中學(xué)高三階段練習(xí))已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<011.(2022·四川瀘州)已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則(
)A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<012.(2022·北京東城)某同學(xué)用“五點(diǎn)法”畫(huà)函數(shù)SKIPIF1<0在一個(gè)周期內(nèi)的簡(jiǎn)圖時(shí),列表如下:SKIPIF1<00SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0xSKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0y020SKIPIF1<00則SKIPIF1<0的解析式為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<013.(2022·河南鄭州·高三階段練習(xí)(文))已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則下列說(shuō)法錯(cuò)誤的是(
)A.函數(shù)SKIPIF1<0B.函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0中心對(duì)稱C.函數(shù)SKIPIF1<0的圖象可由函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位得到D.函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減14.(2022·全國(guó)·高三專題練習(xí))已知函數(shù)SKIPIF1<0的部分圖象如下圖所示,若SKIPIF1<0,SKIPIF1<0,將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度后得到函數(shù)SKIPIF1<0的圖象,則函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0題組二題組二定義域1.(2022·全國(guó)·高三專題練習(xí))函數(shù)SKIPIF1<0定義域?yàn)椋?/p>
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2022·全國(guó)·高三專題練習(xí))函數(shù)SKIPIF1<0的定義域?yàn)椋?/p>
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<03.(2022·湖南·長(zhǎng)沙市明德中學(xué))函數(shù)SKIPIF1<0的定義域?yàn)锳.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.(2022·全國(guó)·課時(shí)練習(xí))函數(shù)SKIPIF1<0的定義域?yàn)椋?/p>
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<05.(2021·北京市朝陽(yáng)區(qū)人大附中朝陽(yáng)分校)函數(shù)SKIPIF1<0的定義域?yàn)開(kāi)_________.6.(2022·甘肅張掖)函數(shù)SKIPIF1<0定義域?yàn)開(kāi)___.7.(2022·全國(guó)·高三專題練習(xí))函數(shù)SKIPIF1<0的定義域?yàn)開(kāi)_______________.8.(2021·陜西·長(zhǎng)安一中高三階段練習(xí))函數(shù)SKIPIF1<0的定義域?yàn)開(kāi)__________.9.(2022·全國(guó)·高三專題練習(xí))函數(shù)SKIPIF1<0的定義域是____________.10.(2022·全國(guó)·高三專題練習(xí))函數(shù)SKIPIF1<0的定義域是________.11.(2022·甘肅)設(shè)函數(shù)SKIPIF1<0,則SKIPIF1<0的定義域?yàn)開(kāi)_________.題組三題組三值域1.(2022·陜西咸陽(yáng)·二模(理))函數(shù)SKIPIF1<0的最小值為(
)A.1 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2022·寧夏吳忠·模擬預(yù)測(cè)(文))函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值是(
)A.1 B.2 C.SKIPIF1<0 D.33.(2022·北京·模擬預(yù)測(cè))已知函數(shù)SKIPIF1<0,SKIPIF1<0,則(
)A.最大值為2,最小值為1B.最大值為SKIPIF1<0,最小值為1C.最大值為SKIPIF1<0,最小值為1D.最大值為SKIPIF1<0,最小值為SKIPIF1<04.(2022·安徽滁州·二模(理))已知函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0,則SKIPIF1<0在區(qū)間SKIPIF1<0上的值域?yàn)椋?/p>
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<05.(2022·山西·懷仁市第一中學(xué)校二模)若將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度后得到函數(shù)SKIPIF1<0的圖象,則SKIPIF1<0在SKIPIF1<0上的最小值為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.26.(2022·全國(guó)·高三開(kāi)學(xué)考試)函數(shù)SKIPIF1<0的最大值為(
)A.2 B.3 C.4 D.57.(2022·安徽·合肥一中高三階段練習(xí))將函數(shù)f(x)=sinx的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度后得到函數(shù)g(x)的圖象.則函數(shù)y=f(x)·g(x)的最大值為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<08.(2022·北京二中)函數(shù)SKIPIF1<0在SKIPIF1<0上的最小值是______.9.(2021·江蘇)已知函數(shù)SKIPIF1<0和SKIPIF1<0的圖象完全相同,若SKIPIF1<0,則SKIPIF1<0的取值范圍是______.10.(2022·陜西渭南·二模(文))已知函數(shù)SKIPIF1<0的部分圖象如圖所示,則SKIPIF1<0時(shí),函數(shù)SKIPIF1<0的值域?yàn)開(kāi)__________.11.(2022·北京·清華附中朝陽(yáng)學(xué)校)已知函數(shù)SKIPIF1<0.(1)求SKIPIF1<0的最小正周期;(2)求SKIPIF1<0的單調(diào)增區(qū)間;(3)函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的值域?yàn)镾KIPIF1<0,求實(shí)數(shù)m的取值范圍;題組四題組四伸縮平移1.(2022·重慶巴蜀中學(xué)高三階段練習(xí))將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度得到函數(shù)SKIPIF1<0的圖象,則SKIPIF1<0(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2022·廣東·高三開(kāi)學(xué)考試)想要得到SKIPIF1<0的圖像,只需要將SKIPIF1<0的圖像(
)A.向左平移SKIPIF1<0個(gè)單位 B.向右平移SKIPIF1<0個(gè)單位C.向左平移SKIPIF1<0個(gè)單位 D.向右平移SKIPIF1<0個(gè)單位3.(2022·全國(guó)·高三專題練習(xí))要得到SKIPIF1<0的圖象,需將SKIPIF1<0的圖象(
)A.向右平移SKIPIF1<0個(gè)單位 B.向左平移SKIPIF1<0個(gè)單位C.向右平移SKIPIF1<0個(gè)單位 D.向左平移SKIPIF1<0個(gè)單位4.(2022·全國(guó)·模擬預(yù)測(cè))為了得到函數(shù)SKIPIF1<0的圖象,可以將函數(shù)SKIPIF1<0的圖象(
)A.向左平移SKIPIF1<0個(gè)單位 B.向右平移SKIPIF1<0個(gè)單位C.向左平移SKIPIF1<0個(gè)單位 D.向右平移SKIPIF1<0個(gè)單位5.(2022·云南·一模(理))為得到函數(shù)SKIPIF1<0的圖象,只需要將函數(shù)SKIPIF1<0的圖象(
)A.向左平移SKIPIF1<0個(gè)單位 B.向左平移SKIPIF1<0個(gè)單位C.向右平移SKIPIF1<0個(gè)單位 D.向右平移SKIPIF1<0個(gè)單位6.(2022·重慶·模擬預(yù)測(cè))已知曲線SKIPIF1<0:SKIPIF1<0的部分圖象如圖所示,要得到曲線SKIPIF1<0的圖象,可將曲線SKIPIF1<0的圖象(
)A.先向右平移SKIPIF1<0個(gè)單位長(zhǎng)度,再將各點(diǎn)的橫坐標(biāo)縮短到原來(lái)的SKIPIF1<0倍,縱坐標(biāo)不變B.先向右平移SKIPIF1<0個(gè)單位長(zhǎng)度,再將各點(diǎn)的橫坐標(biāo)伸長(zhǎng)到原來(lái)的2倍,縱坐標(biāo)不變C.先向左平移SKIPIF1<0個(gè)單位長(zhǎng)度,再將各點(diǎn)的橫坐標(biāo)縮短到原來(lái)的SKIPIF1<0倍,縱坐標(biāo)不變D.先向左平移SKIPIF1<0個(gè)單位長(zhǎng)度,再將各點(diǎn)的橫坐標(biāo)伸長(zhǎng)到原來(lái)的2倍,縱坐標(biāo)不變7.(2022·江西·臨川一中模擬預(yù)測(cè))把函數(shù)SKIPIF1<0圖象上所有點(diǎn)的橫坐標(biāo)伸長(zhǎng)到原來(lái)的2倍,縱坐標(biāo)不變,再把所得曲線向右平移SKIPIF1<0個(gè)單位長(zhǎng)度,得到函數(shù)SKIPIF1<0的圖象,則SKIPIF1<0(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0
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