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專(zhuān)題16函數(shù)比較大小真題呈現(xiàn)一、單選題1.(2023·天津·統(tǒng)考高考真題)若SKIPIF1<0,則SKIPIF1<0的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】由SKIPIF1<0在R上遞增,則SKIPIF1<0,由SKIPIF1<0在SKIPIF1<0上遞增,則SKIPIF1<0.所以SKIPIF1<0.故選:D2.(2023·全國(guó)·統(tǒng)考高考真題)已知函數(shù)SKIPIF1<0.記SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】令SKIPIF1<0,則SKIPIF1<0開(kāi)口向下,對(duì)稱(chēng)軸為SKIPIF1<0,因?yàn)镾KIPIF1<0,而SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,由二次函數(shù)性質(zhì)知SKIPIF1<0,因?yàn)镾KIPIF1<0,而SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,綜上,SKIPIF1<0,又SKIPIF1<0為增函數(shù),故SKIPIF1<0,即SKIPIF1<0.故選:A.3.(2022·天津·統(tǒng)考高考真題)已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0,故SKIPIF1<0.故答案為:C.4.(2022·全國(guó)·統(tǒng)考高考真題)已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】[方法一]:(指對(duì)數(shù)函數(shù)性質(zhì))由SKIPIF1<0可得SKIPIF1<0,而SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0.又SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0.綜上,SKIPIF1<0.[方法二]:【最優(yōu)解】(構(gòu)造函數(shù))由SKIPIF1<0,可得SKIPIF1<0.根據(jù)SKIPIF1<0的形式構(gòu)造函數(shù)SKIPIF1<0,則SKIPIF1<0,令SKIPIF1<0,解得SKIPIF1<0,由SKIPIF1<0知SKIPIF1<0.SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,又因?yàn)镾KIPIF1<0,所以SKIPIF1<0.故選:A.5.(2022·全國(guó)·統(tǒng)考高考真題)已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】[方法一]:構(gòu)造函數(shù)因?yàn)楫?dāng)SKIPIF1<0,故SKIPIF1<0,故SKIPIF1<0,所以SKIPIF1<0;設(shè)SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0單調(diào)遞增,故SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,故選A[方法二]:不等式放縮因?yàn)楫?dāng)SKIPIF1<0,取SKIPIF1<0得:SKIPIF1<0,故SKIPIF1<0SKIPIF1<0,其中SKIPIF1<0,且SKIPIF1<0當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,及SKIPIF1<0此時(shí)SKIPIF1<0,SKIPIF1<0,故SKIPIF1<0SKIPIF1<0,故SKIPIF1<0所以SKIPIF1<0,所以SKIPIF1<0,故選A[方法三]:泰勒展開(kāi)設(shè)SKIPIF1<0,則SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,計(jì)算得SKIPIF1<0,故選A.[方法四]:構(gòu)造函數(shù)因?yàn)镾KIPIF1<0,因?yàn)楫?dāng)SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0;設(shè)SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0單調(diào)遞增,則SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,故選:A.[方法五]:【最優(yōu)解】不等式放縮因?yàn)镾KIPIF1<0,因?yàn)楫?dāng)SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0;因?yàn)楫?dāng)SKIPIF1<0,取SKIPIF1<0得SKIPIF1<0,故SKIPIF1<0,所以SKIPIF1<0.故選:A.6.(2022·全國(guó)·統(tǒng)考高考真題)設(shè)SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】方法一:構(gòu)造法設(shè)SKIPIF1<0,因?yàn)镾KIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,當(dāng)SKIPIF1<0時(shí)SKIPIF1<0,所以函數(shù)SKIPIF1<0在SKIPIF1<0單調(diào)遞減,在SKIPIF1<0上單調(diào)遞增,所以SKIPIF1<0,所以SKIPIF1<0,故SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,故SKIPIF1<0,所以SKIPIF1<0,故SKIPIF1<0,設(shè)SKIPIF1<0,則SKIPIF1<0,令SKIPIF1<0,SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,函數(shù)SKIPIF1<0單調(diào)遞減,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,函數(shù)SKIPIF1<0單調(diào)遞增,又SKIPIF1<0,所以當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,所以當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,函數(shù)SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,故選:C.方法二:比較法解:SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,①SKIPIF1<0,令SKIPIF1<0則SKIPIF1<0,故SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,可得SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0;②SKIPIF1<0,令SKIPIF1<0則SKIPIF1<0,令SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,可得SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,可得SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0故SKIPIF1<07.(2021·天津·統(tǒng)考高考真題)設(shè)SKIPIF1<0,則a,b,c的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0.故選:D.8.(2021·全國(guó)·統(tǒng)考高考真題)已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則下列判斷正確的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,即SKIPIF1<0.故選:C.9.(2021·全國(guó)·統(tǒng)考高考真題)設(shè)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0.則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】[方法一]:SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0,所以SKIPIF1<0;下面比較SKIPIF1<0與SKIPIF1<0的大小關(guān)系.記SKIPIF1<0,則SKIPIF1<0,SKIPIF1<0,由于SKIPIF1<0所以當(dāng)0<x<2時(shí),SKIPIF1<0,即SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,即SKIPIF1<0;令SKIPIF1<0,則SKIPIF1<0,SKIPIF1<0,由于SKIPIF1<0,在x>0時(shí),SKIPIF1<0,所以SKIPIF1<0,即函數(shù)SKIPIF1<0在[0,+∞)上單調(diào)遞減,所以SKIPIF1<0,即SKIPIF1<0,即b<c;綜上,SKIPIF1<0,故選:B.[方法二]:令SKIPIF1<0,SKIPIF1<0,即函數(shù)SKIPIF1<0在(1,+∞)上單調(diào)遞減SKIPIF1<0,,,令SKIPIF1<0SKIPIF1<0,即函數(shù)SKIPIF1<0在(1,3)上單調(diào)遞增,SKIPIF1<0綜上,SKIPIF1<0,故選:B.考點(diǎn)一指數(shù)式、對(duì)數(shù)式,冪式比較大小一、單選題1.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0SKIPIF1<0,那么(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,故SKIPIF1<0.故選:D2.已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0在SKIPIF1<0上遞增,且SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,因?yàn)镾KIPIF1<0在SKIPIF1<0上遞減,且SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,故選:B3.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0在定義域內(nèi)單調(diào)遞增,則SKIPIF1<0,所以SKIPIF1<0;因?yàn)镾KIPIF1<0在定義域內(nèi)單調(diào)遞增,則SKIPIF1<0,所以SKIPIF1<0;因?yàn)镾KIPIF1<0在定義域內(nèi)單調(diào)遞減,則SKIPIF1<0,所以SKIPIF1<0;綜上所述:SKIPIF1<0.故選:C.4.已知函數(shù)SKIPIF1<0,設(shè)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0,由SKIPIF1<0開(kāi)口向上且SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0的定義域?yàn)镽,又SKIPIF1<0,所以SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱(chēng),結(jié)合復(fù)合函數(shù)單調(diào)性知:SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,在SKIPIF1<0上單調(diào)遞增.因?yàn)镾KIPIF1<0SKIPIF1<0,又SKIPIF1<0,則SKIPIF1<0,綜上,SKIPIF1<0.故選:A.5.設(shè)SKIPIF1<0,則SKIPIF1<0的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】記SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,故SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,故SKIPIF1<0,故SKIPIF1<0,記SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,故SKIPIF1<0在SKIPIF1<0單調(diào)遞減,故SKIPIF1<0,故SKIPIF1<0,因此SKIPIF1<0.故答案為:SKIPIF1<0故選;D6.若SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則a,b,c的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】由SKIPIF1<0,則SKIPIF1<0,由SKIPIF1<0,則SKIPIF1<0,故SKIPIF1<0,對(duì)于SKIPIF1<0,令SKIPIF1<0且SKIPIF1<0,則SKIPIF1<0,所以SKIPIF1<0,則SKIPIF1<0,即SKIPIF1<0在SKIPIF1<0上遞減,所以SKIPIF1<0,故SKIPIF1<0在SKIPIF1<0上恒成立,所以SKIPIF1<0,即SKIPIF1<0.綜上,SKIPIF1<0.故選:C7.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,由SKIPIF1<0,有SKIPIF1<0,可得SKIPIF1<0.又由SKIPIF1<0,有SKIPIF1<0,有SKIPIF1<0,可得SKIPIF1<0.故選:D.8.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0,SKIPIF1<0,SKIPIF1<0的大小關(guān)系正確的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0,所以SKIPIF1<0,又SKIPIF1<0,SKIPIF1<0,因?yàn)镾KIPIF1<0,SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0,則SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0.故選:B9.已知函數(shù)SKIPIF1<0,若SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,所以函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,在SKIPIF1<0上單調(diào)遞減,SKIPIF1<0,SKIPIF1<0,因?yàn)镾KIPIF1<0,所以SKIPIF1<0,故SKIPIF1<0,因?yàn)镾KIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0.故選:B.10.已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】由已知,SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,所以,SKIPIF1<0.故選:B.二、多選題11.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則下列關(guān)系式中,正確的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,SKIPIF1<0,因?yàn)镾KIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0.因?yàn)镾KIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0.所以SKIPIF1<0,故AC正確,B錯(cuò)誤.SKIPIF1<0,故D錯(cuò)誤.故選:AC.12.若SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則下列正確的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】若SKIPIF1<0,所以SKIPIF1<0,故A錯(cuò)誤;SKIPIF1<0,所以SKIPIF1<0,故B正確;SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0,故C正確,D錯(cuò)誤.故選:BC.13.已知實(shí)數(shù)SKIPIF1<0,且SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)閮绾瘮?shù)SKIPIF1<0在SKIPIF1<0上為增函數(shù),所以SKIPIF1<0,又SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0;因?yàn)閷?duì)數(shù)函數(shù)SKIPIF1<0在SKIPIF1<0上為增函數(shù),所以SKIPIF1<0;所以SKIPIF1<0,故AC正確.故選:AC.14.已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】因?yàn)镾KIPIF1<0在SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,因?yàn)镾KIPIF1<0在SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,SKIPIF1<0,綜上:SKIPIF1<0,故選項(xiàng)B錯(cuò)誤,選項(xiàng)A、C正確;因?yàn)镾KIPIF1<0,且SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,故選項(xiàng)D正確.故選:ACD考點(diǎn)二構(gòu)造函數(shù)比較大小一、單選題1.已知SKIPIF1<0是定義在R上的偶函數(shù),當(dāng)SKIPIF1<0時(shí),有SKIPIF1<0恒成立,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】設(shè)SKIPIF1<0,則SKIPIF1<0,因?yàn)楫?dāng)SKIPIF1<0時(shí),有SKIPIF1<0恒成立,所以SKIPIF1<0時(shí),SKIPIF1<0,所以SKIPIF1<0在SKIPIF1<0單調(diào)遞減;又SKIPIF1<0是定義在R上的偶函數(shù),則SKIPIF1<0,故SKIPIF1<0為偶函數(shù),則SKIPIF1<0SKIPIF1<0,A選項(xiàng)錯(cuò)誤;SKIPIF1<0SKIPIF1<0,B選項(xiàng)錯(cuò)誤;SKIPIF1<0SKIPIF1<0,C選項(xiàng)錯(cuò)誤;SKIPIF1<0SKIPIF1<0,D選項(xiàng)正確;故選:D.2.設(shè)SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù),當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】SKIPIF1<0,SKIPIF1<0SKIPIF1<0,設(shè)SKIPIF1<0在SKIPIF1<0單調(diào)遞增,SKIPIF1<0,所以A錯(cuò)誤;SKIPIF1<0,所以SKIPIF1<0,所以B正確;SKIPIF1<0,所以C錯(cuò)誤;SKIPIF1<0,SKIPIF1<0,所以D錯(cuò)誤.故選:B3.已知SKIPIF1<0則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】令SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,故SKIPIF1<0,所以SKIPIF1<0,當(dāng)SKIPIF1<0時(shí)取等號(hào).以SKIPIF1<0,令SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,當(dāng)SKIPIF1<0SKIPIF1<0時(shí),SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,故SKIPIF1<0,所以SKIPIF1<0,當(dāng)SKIPIF1<0時(shí)取等號(hào).所以SKIPIF1<0,即SKIPIF1<0.故選:C.4.已知函數(shù)SKIPIF1<0,設(shè)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】由函數(shù)SKIPIF1<0,可得函數(shù)SKIPIF1<0為偶函數(shù)且在SKIPIF1<0上為增函數(shù),設(shè)SKIPIF1<0,則SKIPIF1<0,所以SKIPIF1<0是SKIPIF1<0上的增函數(shù),所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,左右兩邊同時(shí)乘以SKIPIF1<0,可得SKIPIF1<0,SKIPIF1<0,即SKIPIF1<0;設(shè)SKIPIF1<0,可得SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,即SKIPIF1<0,即SKIPIF1<0,即SKIPIF1<0,綜上可得,SKIPIF1<0.故選:D.5.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】由SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,對(duì)SKIPIF1<0兩邊取對(duì)數(shù),可得SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,令SKIPIF1<0,其中SKIPIF1<0,可得SKIPIF1<0,令SKIPIF1<0,可得SKIPIF1<0,所以SKIPIF1<0為單調(diào)遞增函數(shù),當(dāng)SKIPIF1<0時(shí),可得SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,SKIPIF1<0在SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0.故選:A.6.設(shè)SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0【解析】由SKIPIF1<0,令函數(shù)SKIPIF1<0,可得SKIPIF1<0,當(dāng)SKIPIF1<0,可得SKIPIF1<0,SKIPIF1<0單調(diào)遞增;當(dāng)SKIPIF1<0,可得SKIPIF1<0,SKIPIF1<0單調(diào)遞減,所以當(dāng)SKIPIF1<0,函數(shù)SKIPIF1<0取得極大值,即為最大值SKIPIF1<0,函數(shù)SKIPIF1<0的圖形,如圖所示,對(duì)于函數(shù)SKIPIF1<0,當(dāng)SKIPIF1<0且SKIPIF1<0時(shí),SKIPIF1<0.設(shè)SKIPIF1<0且SKIPIF1<0,則SKIPIF1<0,可得SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0.故選:A.7.已知SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】構(gòu)造函數(shù)SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0在SKIPIF1<0上單調(diào)遞增;當(dāng)SKIPIF1<0時(shí),SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,所以SKIPIF1<0,即SKIPIF1<0,得SKIPIF1<0,即SKIPIF1<0;構(gòu)造函數(shù)SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,SKIPIF1<0在SKIPIF1<0上單調(diào)遞減,SKIPIF1<0,所以SKIPIF1<0.故選:A.8.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則a,b,c的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】由題意得SKIPIF1<0,可得SKIPIF1<0,設(shè)SKIPIF1<0,可得SKIPIF1<0,所以SKIPIF1<0單調(diào)遞減,則SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0;又由SKIPIF1<0,設(shè)函數(shù)SKIPIF1<0,可得SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,SKIPIF1<0單調(diào)遞增,所以SKIPIF1<0,即SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0.故選:C.9.已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則a,b,c的大小關(guān)系為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】由指數(shù)冪的運(yùn)算公式,可得SKIPIF1<0,所以SKIPIF1<0,構(gòu)造函數(shù)SKIPIF1<0,其中SKIPIF1<0,則SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0;當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,所以函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增,在SKIPIF1<0上單調(diào)遞減,故SKIPIF1<0,故SKIPIF1<0,當(dāng)且僅當(dāng)SKIPIF1<0時(shí)取等號(hào),由于SKIPIF1<0,則SKIPIF1<0,則SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0,所以SKIPIF1<0.故選:C.10.已知SKIPIF1<0,則SKIPIF1<0的大小關(guān)系是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0【解析】設(shè)SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0,SKIPIF1<0,所以SKIPIF1<0單調(diào)遞增,則SKIPIF1<0,所以SKIP
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