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專題13三角函數(shù)中參數(shù)ω的取值范圍問題目錄TOC\o"1-1"\h\u①ω的取值范圍與單調(diào)性結(jié)合 1②ω的取值范圍與對稱性相結(jié)合 2③ω的取值范圍與三角函數(shù)的最值相結(jié)合 3④ω的取值范圍與三角函數(shù)的零點(diǎn)相結(jié)合 4⑤ω的取值范圍與三角函數(shù)的極值相結(jié)合 5①ω的取值范圍與單調(diào)性結(jié)合1.(2023春·海南??凇じ咭缓?谝恢行?计谥校⒑瘮?shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位,得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增,則SKIPIF1<0的值可能為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.3 D.42.(2023春·湖北武漢·高三武漢市黃陂區(qū)第一中學(xué)??茧A段練習(xí))將函數(shù)SKIPIF1<0(SKIPIF1<0)的圖像向左平移SKIPIF1<0個(gè)單位,得到函數(shù)SKIPIF1<0的圖像,若函數(shù)SKIPIF1<0)的一個(gè)極值點(diǎn)是SKIPIF1<0,且在SKIPIF1<0上單調(diào)遞增,則ω的值為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2023·全國·高三專題練習(xí))將函數(shù)SKIPIF1<0的圖像向左平移SKIPIF1<0個(gè)單位長度,得到函數(shù)SKIPIF1<0的圖像,若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,則SKIPIF1<0的最小值為(
)A.2 B.SKIPIF1<0 C.3 D.44.(2023·全國·高三專題練習(xí))將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度后,得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上是單調(diào)遞減函數(shù),則實(shí)數(shù)SKIPIF1<0的最大值為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<05.(2023春·河南鄭州·高三鄭州四中校考階段練習(xí))將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位,得到函數(shù)SKIPIF1<0的圖象,若SKIPIF1<0在SKIPIF1<0上為增函數(shù),則SKIPIF1<0的最大值為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.2 D.3②ω的取值范圍與對稱性相結(jié)合1.(2023·全國·高三專題練習(xí))已知函數(shù)SKIPIF1<0,將SKIPIF1<0的圖象先向左平移SKIPIF1<0個(gè)單位長度,然后再向下平移1個(gè)單位長度,得到函數(shù)SKIPIF1<0的圖象,若SKIPIF1<0圖象關(guān)于SKIPIF1<0對稱,則SKIPIF1<0為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2023·四川瀘州·四川省瀘縣第一中學(xué)校考模擬預(yù)測)將函數(shù)SKIPIF1<0(其中SKIPIF1<0)的圖像向右平移SKIPIF1<0個(gè)單位長度,所得圖像關(guān)于SKIPIF1<0對稱,則SKIPIF1<0的最小值是A.6 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2023·全國·模擬預(yù)測)將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度得到函數(shù)SKIPIF1<0的圖象.若函數(shù)SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對稱,則SKIPIF1<0的最小值為.4.(2023·廣東深圳·??家荒#⒑瘮?shù)SKIPIF1<0的圖像上所有點(diǎn)的縱坐標(biāo)保持不變,橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍后,所得函數(shù)SKIPIF1<0的圖像在區(qū)間SKIPIF1<0上有且僅有兩條對稱軸和兩個(gè)對稱中心,則SKIPIF1<0的值為.5.(2023·全國·高三專題練習(xí))將函數(shù)SKIPIF1<0(SKIPIF1<0)的圖象向左平移SKIPIF1<0個(gè)單位長度,得到曲線SKIPIF1<0.若SKIPIF1<0關(guān)于SKIPIF1<0軸對稱,則SKIPIF1<0的最小值是.③ω的取值范圍與三角函數(shù)的最值相結(jié)合1.(2023春·北京東城·高一北京二中??茧A段練習(xí))設(shè)函數(shù)SKIPIF1<0,將函數(shù)SKIPIF1<0圖像上所有點(diǎn)的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍(縱坐標(biāo)不變),得到函數(shù)SKIPIF1<0的圖像,若對于任意的實(shí)數(shù)SKIPIF1<0,SKIPIF1<0恒成立,則SKIPIF1<0的最小值等于(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2023春·陜西西安·高一高新一中校考階段練習(xí))將函數(shù)SKIPIF1<0先向右平移SKIPIF1<0個(gè)單位長度,再將圖象上各點(diǎn)的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍(縱坐標(biāo)不變),則所得函數(shù)SKIPIF1<0圖象,若SKIPIF1<0在區(qū)間SKIPIF1<0上的最小值為SKIPIF1<0,則SKIPIF1<0的最小值等于(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2023秋·廣東廣州·高三廣州市禺山高級中學(xué)??茧A段練習(xí))將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長度,再將各點(diǎn)的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0,得到函數(shù)SKIPIF1<0的圖象,若SKIPIF1<0在SKIPIF1<0上的值域?yàn)镾KIPIF1<0,則SKIPIF1<0范圍為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(2023春·安徽亳州·高一亳州二中??计谀┮阎瘮?shù)SKIPIF1<0圖象的縱坐標(biāo)不變、橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍后,得到的函數(shù)在SKIPIF1<0上恰有5個(gè)不同的SKIPIF1<0值,使其取到最值,則正實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<05.(2023·貴州貴陽·校聯(lián)考模擬預(yù)測)將函數(shù)SKIPIF1<0向右平移SKIPIF1<0個(gè)周期后所得的圖象在SKIPIF1<0內(nèi)有SKIPIF1<0個(gè)最高點(diǎn)和SKIPIF1<0個(gè)最低點(diǎn),則SKIPIF1<0的取值范圍是.④ω的取值范圍與三角函數(shù)的零點(diǎn)相結(jié)合1.(2023·貴州畢節(jié)·??寄M預(yù)測)已知函數(shù)SKIPIF1<0,將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度得到函數(shù)SKIPIF1<0的圖象,若SKIPIF1<0在SKIPIF1<0上恰有兩個(gè)零點(diǎn),則下列區(qū)間中,SKIPIF1<0的一個(gè)取值區(qū)間可以為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2023春·浙江·高一校聯(lián)考階段練習(xí))已知函數(shù)SKIPIF1<0,將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度后得到函數(shù)SKIPIF1<0的圖象,若關(guān)于SKIPIF1<0的方程SKIPIF1<0在SKIPIF1<0上有且僅有三個(gè)不相等的實(shí)根,則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2023·浙江金華·??既#┮阎瘮?shù)SKIPIF1<0,若將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度后得到函數(shù)SKIPIF1<0的圖象,若關(guān)于SKIPIF1<0的方程SKIPIF1<0在SKIPIF1<0上有且僅有兩個(gè)不相等的實(shí)根,則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(2023·四川內(nèi)江·統(tǒng)考三模)將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長度后得到函數(shù)SKIPIF1<0的圖象,若SKIPIF1<0是SKIPIF1<0的一個(gè)單調(diào)遞增區(qū)間,且SKIPIF1<0在SKIPIF1<0上有5個(gè)零點(diǎn),則SKIPIF1<0(
)A.1 B.5 C.9 D.135.(2023春·高一單元測試)已知函數(shù)SKIPIF1<0,將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度,再將所得函數(shù)圖象上所有點(diǎn)的縱坐標(biāo)不變,橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在SKIPIF1<0上有且僅有4個(gè)零點(diǎn),則實(shí)數(shù)SKIPIF1<0的取值范圍為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.(2023秋·天津南開·高三南開中學(xué)??茧A段練習(xí))已知函數(shù)SKIPIF1<0是偶函數(shù).若將曲線SKIPIF1<0向左平移SKIPIF1<0個(gè)單位長度后得到曲線SKIPIF1<0,若方程SKIPIF1<0在SKIPIF1<0有且僅有兩個(gè)不相等實(shí)根,則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<07.(2023春·廣東惠州·高一??茧A段練習(xí))將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度,再將圖象上每個(gè)點(diǎn)的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍(縱坐標(biāo)不變),得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有且僅有一個(gè)零點(diǎn),則SKIPIF1<0的取值范圍為.8.(2023·全國·高一專題練習(xí))將函數(shù)SKIPIF1<0的圖像先向右平移SKIPIF1<0個(gè)單位長度,再把所得函數(shù)圖像的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍,縱坐標(biāo)不變,得到函數(shù)SKIPIF1<0的圖像,若函數(shù)SKIPIF1<0在SKIPIF1<0上沒有零點(diǎn),則SKIPIF1<0的取值范圍是.9.(2023·全國·高三專題練習(xí))將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長度后得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在SKIPIF1<0上有且只有3個(gè)零點(diǎn),則SKIPIF1<0的取值范圍是.10.(2023春·上海虹口·高一上外附中校考期末)已知函數(shù)SKIPIF1<0(其中SKIPIF1<0為常數(shù),且SKIPIF1<0)有且僅有三個(gè)零點(diǎn),則SKIPIF1<0的取值范圍是.⑤ω的取值范圍與三角函數(shù)的極值相結(jié)合1.(2023春·河南平頂山·高三校聯(lián)考階段練習(xí))把函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長度,再將所得圖象上的所有點(diǎn)的橫坐標(biāo)變?yōu)樵瓉淼腟KIPIF1<0倍(SKIPIF1<0),縱坐標(biāo)不變,得到函數(shù)SKIPIF1<0的圖象,若函數(shù)SKIPIF1<0在SKIPIF1<0上有兩個(gè)極值點(diǎn)、兩個(gè)零點(diǎn),則SKIPIF1<0的取值范圍為(
)A.SKIPIF1<0 B.SKIPIF1<
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