新高考數(shù)學(xué)一輪復(fù)習(xí) 講與練第9練 導(dǎo)數(shù)的概念及運(yùn)算（原卷版）

第9練導(dǎo)數(shù)的概念及運(yùn)算學(xué)校____________姓名____________班級(jí)____________一、單選題1．已知曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線與直線SKIPIF1<0垂直，則實(shí)數(shù)a的值為（

）A．SKIPIF1<0 B．2e C．SKIPIF1<0 D．SKIPIF1<02．若點(diǎn)P是曲線SKIPIF1<0上任一點(diǎn)，則點(diǎn)P到直線SKIPIF1<0的最小距離是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線斜率是（

）A．9 B．6 C．SKIPIF1<0 D．SKIPIF1<04．下列導(dǎo)數(shù)運(yùn)算正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．－2 B．2 C．－4 D．46．方程SKIPIF1<0有兩個(gè)不相等實(shí)根，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．若SKIPIF1<0是SKIPIF1<0的切線，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知曲線SKIPIF1<0在點(diǎn)P處的切線與直線SKIPIF1<0垂直，則點(diǎn)P的橫坐標(biāo)為（

）A．1 B．SKIPIF1<0 C．2 D．SKIPIF1<09．已知函數(shù)SKIPIF1<0，則圖象為如圖的函數(shù)可能是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0是定義在R上的可導(dǎo)函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0．若SKIPIF1<0，且SKIPIF1<0，則使不等式SKIPIF1<0成立的x的值可能為(

)A．－2 B．－1 C．SKIPIF1<0 D．2二、多選題11．函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，若已知SKIPIF1<0的圖像如圖，則下列說(shuō)法正確的是（

）A．SKIPIF1<0一定存在極大值點(diǎn) B．SKIPIF1<0有兩個(gè)極值點(diǎn)C．SKIPIF1<0在SKIPIF1<0單調(diào)遞增 D．SKIPIF1<0在x＝0處的切線與x軸平行12．若函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0的定義域是SKIPIF1<0B．SKIPIF1<0有兩個(gè)零點(diǎn)C．SKIPIF1<0在點(diǎn)SKIPIF1<0處切線的斜率為SKIPIF1<0D．SKIPIF1<0在SKIPIF1<0遞增13．下列求導(dǎo)運(yùn)算正確的有（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<014．已知函數(shù)SKIPIF1<0及其導(dǎo)數(shù)SKIPIF1<0，若存在SKIPIF1<0，使得SKIPIF1<0，則稱SKIPIF1<0是SKIPIF1<0的一個(gè)“巧值點(diǎn)”．下列函數(shù)中，有“巧值點(diǎn)”的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空題15．已知函數(shù)SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0處的切線方程為______.16．已知函數(shù)SKIPIF1<0，則SKIPIF1<0的值為______．17．集美中學(xué)高101組高二（15）班小美同學(xué)通過(guò)導(dǎo)數(shù)的學(xué)習(xí)，對(duì)直線與曲線相切產(chǎn)生濃厚興趣，并試著定義：若曲線SKIPIF1<0與曲線SKIPIF1<0存在公共點(diǎn)SKIPIF1<0，且SKIPIF1<0、SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線重合，稱曲線SKIPIF1<0與SKIPIF1<0相切．現(xiàn)出一問(wèn)題：若函數(shù)SKIPIF1<0與SKIPIF1<0相切，則SKIPIF1<0__________．18．雙曲正弦函數(shù)SKIPIF1<0和雙曲余弦函數(shù)SKIPIF1<0在工程學(xué)中有廣泛的應(yīng)用，也具有許多迷人的數(shù)學(xué)性質(zhì)．若直線SKIPIF1<0與雙曲余弦函數(shù)SKIPIF1<0和雙曲正弦函數(shù)SKIPIF1<0的圖象分別相交于點(diǎn)SKIPIF1<0、SKIPIF1<0，曲線SKIPIF1<0在SKIPIF1<0處的切線與曲線SKIPIF1<0在SKIPIF1<0處切線相交于點(diǎn)SKIPIF1<0，則如下命題中為真命題的有______（填上所有真命題的序號(hào)）．①SKIPIF1<0，SKIPIF1<0；②SKIPIF1<0；③點(diǎn)SKIPIF1<0必在曲線SKIPIF1<0上；④SKIPIF1<0的面積隨SKIPIF1<0的增大而減小．四、解答題19．求下列函數(shù)的導(dǎo)數(shù)：(1)SKIPIF1<0；(2)SKIPIF1<0；(