函數(shù)、導(dǎo)數(shù)綜合復(fù)習(xí)練習(xí)題

..《函數(shù)》、《導(dǎo)數(shù)》綜合復(fù)習(xí)練習(xí)題1、已知函數(shù)SKIPIF1<0<Ⅰ>求函數(shù)SKIPIF1<0的單調(diào)區(qū)間;<Ⅱ>若集合SKIPIF1<0有且只有一個(gè)元素.求正數(shù)SKIPIF1<0的取值范圍．2、已知函數(shù)SKIPIF1<0SKIPIF1<0,SKIPIF1<0,記SKIPIF1<0〔Ⅰ求SKIPIF1<0的單調(diào)區(qū)間；〔Ⅱ當(dāng)SKIPIF1<0時(shí),若SKIPIF1<0,比較：SKIPIF1<0與SKIPIF1<0的大??；〔Ⅲ若SKIPIF1<0的極值為SKIPIF1<0,問(wèn)是否存在實(shí)數(shù)SKIPIF1<0,使方程SKIPIF1<0有四個(gè)不同實(shí)數(shù)根？若存在,求出實(shí)數(shù)SKIPIF1<0的取值范圍；若不存在,請(qǐng)說(shuō)明理由。3、已知函數(shù)SKIPIF1<0在x＝－SKIPIF1<0與x＝1時(shí)都取得極值．<Ⅰ>求SKIPIF1<0、b的值與函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間；<Ⅱ>若對(duì)SKIPIF1<0,不等式SKIPIF1<0恒成立,求c的取值范圍．4、設(shè)函數(shù)SKIPIF1<0.若SKIPIF1<0,求SKIPIF1<0的最小值；若當(dāng)SKIPIF1<0時(shí)SKIPIF1<0,求實(shí)數(shù)SKIPIF1<0的取值范圍.5、已知函數(shù)SKIPIF1<0?！睮若SKIPIF1<0,求SKIPIF1<0的單調(diào)區(qū)間；<II>已知SKIPIF1<0是SKIPIF1<0的兩個(gè)不同的極值點(diǎn),且SKIPIF1<0,若SKIPIF1<0恒成立,求實(shí)數(shù)b的取值范圍。6、已知函數(shù).〔1當(dāng)時(shí),求的單調(diào)區(qū)間；〔2若在單調(diào)增加,在單調(diào)減少,證明：＜6.7、已知函數(shù)SKIPIF1<0．〔1當(dāng)SKIPIF1<0時(shí),求SKIPIF1<0的最大值；〔2求證：SKIPIF1<0〔3對(duì)SKIPIF1<0圖象上的任意不同兩點(diǎn)SKIPIF1<0,證明SKIPIF1<0圖象上存在點(diǎn)SKIPIF1<0,且SKIPIF1<0圖象上以P0為切點(diǎn)的切線與直線P1P2平行．8、已知函數(shù),函數(shù)是區(qū)間[SKIPIF1<0,SKIPIF1<0]上的減函數(shù)．〔I求的最大值；〔II若上恒成立,求t的取值范圍；〔Ⅲ討論關(guān)于x的方程的根的個(gè)數(shù)．9、已知函數(shù)SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程為SKIPIF1<0．〔1求SKIPIF1<0的值；〔2求函數(shù)SKIPIF1<0的單調(diào)區(qū)間；〔3若方程SKIPIF1<0=m恰有兩個(gè)不等的實(shí)根,求m的取值范圍．10、已知函數(shù)g<x>=SKIPIF1<0在SKIPIF1<0上為增函數(shù),且SKIPIF1<0,f<x>=mx-SKIPIF1<0〔1求SKIPIF1<0的值；〔2若f<x>-g<x>在SKIPIF1<0上為單調(diào)函數(shù),求m的取值范圍；〔3設(shè)SKIPIF1<0,若在SKIPIF1<0上至少存在一個(gè)SKIPIF1<0,使得SKIPIF1<0成立,求m的取值范圍。11、若函數(shù)SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程為SKIPIF1<0〔1求SKIPIF1<0的值；〔2求SKIPIF1<0的單調(diào)遞增區(qū)間；〔3若對(duì)于任意的SKIPIF1<0,恒有SKIPIF1<0成立,求實(shí)數(shù)SKIPIF1<0的取值范圍12、設(shè)函數(shù)SKIPIF1<0SKIPIF1<0〔1若SKIPIF1<0時(shí)函數(shù)SKIPIF1<0有三個(gè)互不相同的零點(diǎn),求SKIPIF1<0的范圍；〔2若函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)沒(méi)有極值點(diǎn),求SKIPIF1<0的范圍；〔3若對(duì)任意的SKIPIF1<0,不等式SKIPIF1<0在SKIPIF1<0上恒成立,求實(shí)數(shù)SKIPIF1<0的取值范圍.13、已知函數(shù)SKIPIF1<0．〔1若SKIPIF1<0在SKIPIF1<0時(shí),有極值SKIPIF1<0,求SKIPIF1<0、SKIPIF1<0的值．〔2當(dāng)SKIPIF1<0為非零實(shí)數(shù)時(shí),SKIPIF1<0是否存在與直線SKIPIF1<0平行的切線,如果存在,求出切線的方程,如果不存在,說(shuō)明理由．〔3設(shè)函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0,記函數(shù)SKIPIF1<0的最大值為M,求證SKIPIF1<0．14、設(shè)函數(shù)SKIPIF1<0,其中SKIPIF1<0為實(shí)常數(shù).〔Ⅰ當(dāng)SKIPIF1<0為何值時(shí),SKIPIF1<0；〔Ⅱ證明:當(dāng)SKIPIF1<0時(shí),函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)有兩個(gè)零點(diǎn).15、已知函數(shù)SKIPIF1<0SKIPIF1<0。〔1求函數(shù)SKIPIF1<0的極值；〔2若對(duì)任意的SKIPIF1<0都有SKIPIF1<0,求實(shí)數(shù)SKIPIF1<0的取值范圍.16、已知函數(shù)SKIPIF1<0,SKIPIF1<0〔1求SKIPIF1<0的極值；〔2若關(guān)于x的不等式SKIPIF1<0在SKIPIF1<0上恒成立,求k的取值范圍；〔3證明：SKIPIF1<0.18、已知函數(shù)SKIPIF1<0,SKIPIF1<0〔Ⅰ求SKIPIF1<0的單調(diào)區(qū)間和值域；〔Ⅱ設(shè)SKIPIF1<0,函數(shù)SKIPIF1<0,若對(duì)于任意SKIPIF1<0,總存在SKIPIF1<0,使得SKIPIF1<0成立,求SKIPIF1<0的取值范圍19、已知點(diǎn)ASKIPIF1<0在函數(shù)SKIPIF1<0的曲線上,而且以A點(diǎn)為切點(diǎn)的切線方程為：SK