專題4.2應用導數研究函數的單調性練基礎練基礎1．（浙江高考真題）函數的圖像如圖所示，則函數的圖像可能是（）A．B．C．D．2．（2020·重慶市第七中學校高三期中）設函數SKIPIF1<0在區間SKIPIF1<0上單調遞減，則實數a的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·廣東高三其他模擬）已知函數SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2021·全國高三專題練習（文））已知函數SKIPIF1<0，若SKIPIF1<0在區間SKIPIF1<0上單調遞增，則SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2021·福建高三三模）已知函數SKIPIF1<0，實數SKIPIF1<0，SKIPIF1<0滿足不等式SKIPIF1<0，則下列不等式成立的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．【多選題】（2021·全國高三其他模擬）如圖是函數SKIPIF1<0的部分圖像，則SKIPIF1<0的解析式可能是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．【多選題】（2021·全國高三專題練習）函數SKIPIF1<0的圖象如圖所示，且SKIPIF1<0在SKIPIF1<0與SKIPIF1<0處取得極值，則下列結論正確的有（）

A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．函數SKIPIF1<0在SKIPIF1<0上是減函數8．（2021·山東省濟南市萊蕪第一中學高三月考）已知SKIPIF1<0在SKIPIF1<0上單調遞增，SKIPIF1<0.若SKIPIF1<0是SKIPIF1<0的充分不必要條件，則實數SKIPIF1<0的取值范圍為____________.9.(2019年高考北京理)設函數（a為常數）．若f（x）為奇函數，則a=________；若f（x）是R上的增函數，則a的取值范圍是___________．10．（2020·四川省內江市第六中學高三月考）已知SKIPIF1<0，函數SKIPIF1<0．（1）若曲線SKIPIF1<0與曲線SKIPIF1<0在它們的交點SKIPIF1<0處的切線互相垂直，求a，b的值；（2）設SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0上為增函數，求a的取值范圍．練提升TIDHNEG練提升TIDHNEG1．（2021·遼寧實驗中學高三其他模擬）已知實數SKIPIF1<0，SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0且SKIPIF1<0，若SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02.【多選題】（2021·山東濟南市·高三其他模擬）數列{an}滿足a1＝1，an＝an+1+ln（1+an+1）（SKIPIF1<0），則（）A．存在n使anSKIPIF1<00 B．任意n使anSKIPIF1<00C．anSKIPIF1<0an+1 D．anSKIPIF1<0an+13．（2021·遼寧高三其他模擬）若函數SKIPIF1<0在SKIPIF1<0上單調遞增，則實數SKIPIF1<0的取值范圍是____________________4．（2021·陜西寶雞市·高三月考（文））若函數SKIPIF1<0在區間SKIPIF1<0是增函數，則SKIPIF1<0的取值范圍是_________．5．（2021·福建省福州第一中學高三其他模擬）已知函數SKIPIF1<0，則不等式SKIPIF1<0的解集為___________.6．（2020·重慶市云陽江口中學校高三月考）已知函數SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，且對于任意實數x，恒有SKIPIF1<0.（1）求函數SKIPIF1<0的解析式；（2）已知函數SKIPIF1<0在區間SKIPIF1<0上單調，求實數a的取值范圍.7．（2021·全國高三專題練習（理））設函數SKIPIF1<0.（Ⅰ）設SKIPIF1<0是SKIPIF1<0圖象的一條切線，求證：當SKIPIF1<0時，SKIPIF1<0與坐標軸圍成的三角形的面積與切點無關；（Ⅱ）若函數SKIPIF1<0在定義域上單調遞減，求SKIPIF1<0的取值范圍.8．（2021·河南商丘市·高三月考（理））已知函數SKIPIF1<0.（1）求SKIPIF1<0的最大值；（2）若SKIPIF1<0，分析SKIPIF1<0在SKIPIF1<0上的單調性.9．（2021·全國高三專題練習）已知函數SKIPIF1<0.SKIPIF1<0（1）討論函數SKIPIF1<0的單調區間；（2）若函數SKIPIF1<0對SKIPIF1<0SKIPIF1<0都有SKIPIF1<0恒成立，求SKIPIF1<0的取值范圍.10．（2020·四川成都市·北大附中成都為明學校高三月考（文））已知函數SKIPIF1<0.（1）當SKIPIF1<0時，求曲線SKIPIF1<0在點SKIPIF1<0處的切線方程；（2）若SKIPIF1<0在區間SKIPIF1<0上單調遞增，求實數SKIPIF1<0的取值范圍.練真題TIDHNEG練真題TIDHNEG1．（2021·全國高考真題（理））設SKIPIF1<0，SKIPIF1<0，SKIPIF1<0．則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02.（2018·全國高考真題（文））函數y=?x4A．B．C．D．3．（2017·江蘇高考真題）已知函數，其中e是自然數對數的底數，若，則