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专题40导数压轴选择填空必刷100题类型一:单选题1-50题1.若不等式SKIPIF1<0恒成立,则a的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.已知函数SKIPIF1<0,SKIPIF1<0的图象与SKIPIF1<0的图象关于SKIPIF1<0对称,且SKIPIF1<0为奇函数,则不等式SKIPIF1<0的解集为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.过曲线C:SKIPIF1<0上一点SKIPIF1<0作斜率为SKIPIF1<0的直线,该直线与曲线C的另一交点为P,曲线C在点P处的切线交y轴于点N.若SKIPIF1<0的面积为SKIPIF1<0,则SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.已知函数.SKIPIF1<0(SKIPIF1<0为自然对数的底数),SKIPIF1<0.若存在实数SKIPIF1<0,使得SKIPIF1<0,且SKIPIF1<0,则实数SKIPIF1<0的最大值为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.15.设函数SKIPIF1<0,定义在SKIPIF1<0上的连续函数SKIPIF1<0使得SKIPIF1<0是奇函数,当SKIPIF1<0时,SKIPIF1<0,若存在SKIPIF1<0,使得SKIPIF1<0,则实数SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.已知SKIPIF1<0若SKIPIF1<0,则SKIPIF1<0的最大值是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<07.已知函数SKIPIF1<0,SKIPIF1<0,若SKIPIF1<0都有SKIPIF1<0,则实数SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<08.已知函数SKIPIF1<0有两个不同的极值点SKIPIF1<0,SKIPIF1<0,若不等式SKIPIF1<0恒成立,则SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<09.若SKIPIF1<0,则SKIPIF1<0的最大值为()A.SKIPIF1<0 B.SKIPIF1<0 C.e D.2e10.已知定义在SKIPIF1<0上的函数SKIPIF1<0满足SKIPIF1<0,且当SKIPIF1<0时,SKIPIF1<0,若方程SKIPIF1<0有三个不同的实数根,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<011.已知函数SKIPIF1<0有且只有一个零点,则SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<012.若SKIPIF1<0,SKIPIF1<0恒成立,则a的最大值为()A.SKIPIF1<0 B.1 C.e D.SKIPIF1<013.设实数SKIPIF1<0,若对任意的SKIPIF1<0,不等于SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围是().A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<014.已知函数SKIPIF1<0.则使不等式SKIPIF1<0成立的实数SKIPIF1<0的范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<015.若函数SKIPIF1<0与函数SKIPIF1<0有公切线,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<016.已知定义在SKIPIF1<0上的函数SKIPIF1<0满足SKIPIF1<0(SKIPIF1<0为常数)且SKIPIF1<0,若SKIPIF1<0,则SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<017.已知函数SKIPIF1<0的导函数为SKIPIF1<0,对任意的实数SKIPIF1<0都有SKIPIF1<0,且SKIPIF1<0,若SKIPIF1<0在SKIPIF1<0上有极值点,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<018.设函数SKIPIF1<0在区间SKIPIF1<0上存在零点,则SKIPIF1<0的最小值为()A.SKIPIF1<0 B.SKIPIF1<0 C.7 D.SKIPIF1<019.设函数SKIPIF1<0是定义在SKIPIF1<0上的可导函数,其导函数为SKIPIF1<0,且有SKIPIF1<0,则不等式SKIPIF1<0的解集为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<020.定义在SKIPIF1<0上的函数SKIPIF1<0的导函数为SKIPIF1<0,满足:SKIPIF1<0,SKIPIF1<0,且当SKIPIF1<0时,SKIPIF1<0,则不等式SKIPIF1<0的解集为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<021.已知函数SKIPIF1<0,则不等式SKIPIF1<0的解集是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<022.若存在SKIPIF1<0,SKIPIF1<0使得SKIPIF1<0,则实数SKIPIF1<0的最大值为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<023.设实数SKIPIF1<0,若对任意的SKIPIF1<0,不等式SKIPIF1<0恒成立,则实数m的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<024.已知函数SKIPIF1<0,若f(x)在R上单调,则a的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<025.已知函数SKIPIF1<0,若曲线SKIPIF1<0上存在点SKIPIF1<0,使得SKIPIF1<0,则实数SKIPIF1<0的最大值是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<026.若关于SKIPIF1<0的不等式SKIPIF1<0对一切正实数SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<027.已知函数SKIPIF1<0,SKIPIF1<0,又当SKIPIF1<0时,SKIPIF1<0恒成立,则实数a的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<028.设函数SKIPIF1<0,SKIPIF1<0,其中SKIPIF1<0为自然对数的底数,若存在实数SKIPIF1<0,使得SKIPIF1<0成立,则实数SKIPIF1<0值为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<029.已知函数SKIPIF1<0,若关于SKIPIF1<0的不等式SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<030.已知函数SKIPIF1<0在SKIPIF1<0上有两个零点,则a的取值范是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<031.若函数SKIPIF1<0有SKIPIF1<0个零点,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<032.定义在SKIPIF1<0上的连续函数SKIPIF1<0的导函数为SKIPIF1<0,且SKIPIF1<0成立,则下列各式一定成立的是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<033.若函数SKIPIF1<0与函数SKIPIF1<0SKIPIF1<0的图象在区间SKIPIF1<0上有且仅有一个公共点,则实数SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<034.已知定义在SKIPIF1<0上的图象连续的函数SKIPIF1<0的导数是SKIPIF1<0,SKIPIF1<0,当SKIPIF1<0时,SKIPIF1<0,则不等式SKIPIF1<0的解集为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<035.已知函数SKIPIF1<0,SKIPIF1<0.若不等式SKIPIF1<0在SKIPIF1<0上恒成立,则SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<036.已知曲线SKIPIF1<0上一点SKIPIF1<0,曲线SKIPIF1<0上一点SKIPIF1<0,当SKIPIF1<0时,对任意SKIPIF1<0,SKIPIF1<0,都有SKIPIF1<0恒成立,则SKIPIF1<0的最小值为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<037.已知函数SKIPIF1<0,SKIPIF1<0,当SKIPIF1<0时,SKIPIF1<0恒成立,则实数a的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<038.已知函数SKIPIF1<0的导函数为SKIPIF1<0,对任意的实数SKIPIF1<0都有SKIPIF1<0,SKIPIF1<0,则不等式SKIPIF1<0的解集是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<039.已知函数SKIPIF1<0,若函数SKIPIF1<0有三个极值点,则实数SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<040.已知直线SKIPIF1<0分别与SKIPIF1<0和SKIPIF1<0的图象交于SKIPIF1<0,SKIPIF1<0两点,则下列结论正确的是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<041.已知函数SKIPIF1<0,若不等式SKIPIF1<0对SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<042.已知函数SKIPIF1<0,SKIPIF1<0,若SKIPIF1<0成立,则SKIPIF1<0的最小值为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<043.已知函数SKIPIF1<0,SKIPIF1<0,曲线SKIPIF1<0上总存在两点SKIPIF1<0,SKIPIF1<0,使曲线SKIPIF1<0在SKIPIF1<0两点处的切线互相平行,则SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<044.SKIPIF1<0,则a,b,c的大小顺序为()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<045.当x>1时,函数y=(lnx)2+alnx+1的图象在直线y=x的下方,则实数a的取值范围是()A.(-∞,e) B.(-∞,SKIPIF1<0)C.(-∞,SKIPIF1<0) D.(-∞,e-2)46.已知函数SKIPIF1<0,若存在唯一的正整数SKIPIF1<0,使得SKIPIF1<0,则实数a的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<047.已知SKIPIF1<0、SKIPIF1<0,且SKIPIF1<0,对任意SKIPIF1<0均有SKIPIF1<0,则()A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<048.若关于SKIPIF1<0的方程SKIPIF1<0有三个不相等的实数解SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,且SKIPIF1<0,则SKIPIF1<0的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<049.已知函数SKIPIF1<0(其中e为自然对数的底数)有三个零点,则实数m的取值范围为()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<050.已知函数SKIPIF1<0有且仅有两个不同的零点,且函数SKIPIF1<0满足:SKIPIF1<0,则实数SKIPIF1<0的取值范围是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0类型二:填空题51-100题51.已知关于SKIPIF1<0的不等式SKIPIF1<0在SKIPIF1<0上恒成立,则实数SKIPIF1<0的取值范围是______.52.已知函数SKIPIF1<0有两个极值点,则实数m的取值范围为___________.53.已知函数SKIPIF1<0(其中SKIPIF1<0,SKIPIF1<0),当SKIPIF1<0时SKIPIF1<0恒成立,则SKIPIF1<0的取值范围为___________.54.设函数SKIPIF1<0,对任意正实数SKIPIF1<0,不等式SKIPIF1<0恒成立,则正数SKIPIF1<0的取值范围是_________.55.函数SKIPIF1<0,当SKIPIF1<0时,SKIPIF1<0恒成立,则整数SKIPIF1<0的最大值为______.56.已知SKIPIF1<0,对任意的SKIPIF1<0,不等式SKIPIF1<0恒成立,则SKIPIF1<0的最小值为___________.57.已知函数SKIPIF1<0,若函数SKIPIF1<0有唯一极值点,则实数SKIPIF1<0的取值范围是______.58.已知函数SKIPIF1<0和SKIPIF1<0,对于任意SKIPIF1<0,SKIPIF1<0,且SKIPIF1<0时,都有SKIPIF1<0成立,则实数SKIPIF1<0的取值范围为________.59.设函数SKIPIF1<0,若在SKIPIF1<0上有且只有一个正整数SKIPIF1<0,使得SKIPIF1<0,则a的取值范围是_______________.60.已知函数SKIPIF1<0,对任意的SKIPIF1<0,使得SKIPIF1<0,则SKIPIF1<0___________.61.已知函数SKIPIF1<0的定义域为SKIPIF1<0,SKIPIF1<0为单调函数且对任意的SKIPIF1<0都有SKIPIF1<0,若方程SKIPIF1<0有两解,则实数SKIPIF1<0的取值范围是___________.62.若函数SKIPIF1<0在区间SKIPIF1<0有三个不同的零点,则实数m的取值范围是___________.63.如果关于SKIPIF1<0的方程SKIPIF1<0有唯一的正实数根,则实数SKIPIF1<0的取值范围是______.64.已知关于SKIPIF1<0的方程SKIPIF1<0在SKIPIF1<0上有两个不相等的实根,则实数SKIPIF1<0的取值范围是________65.已知不等式SKIPIF1<0对任意SKIPIF1<0恒成立,则实数a的取值范围是___________.66.设函数SKIPIF1<0,若存在唯一的整数SKIPIF1<0使得SKIPIF1<0,则实数m的取值范围是________.67.设函数SKIPIF1<0恰有两个极值点,则实数t的取值范围为___________.68.已知函数SKIPIF1<0,SKIPIF1<0,且SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围是______.69.设函数SKIPIF1<0满足SKIPIF1<0,且SKIPIF1<0,若不等式SKIPIF1<0恒成立,则SKIPIF1<0的取值范围是_________.70.若关于x的不等式SKIPIF1<0恒成立,则实数a的取值范围为__________.71.已知函数SKIPIF1<0,若对于任意SKIPIF1<0,不等式SKIPIF1<0恒成立,则实数a的最大值为________.72.已知函数SKIPIF1<0在定义域内没有零点,则a的取值范围是________.73.已知函数SKIPIF1<0(e为自然对数的底数)有两个不同零点,则实数SKIPIF1<0的取值范围是___________.74.已知对任意的SKIPIF1<0,不等式SKIPIF1<0恒成立,则实数SKIPIF1<0的取值范围为______.75.已知函数SKIPIF1<0,若SKIPIF1<0在SKIPIF1<0上恒成立,则正实数SKIPIF1<0的取值范围为______.76.已知对任意SKIPIF1<0,都有SKIPIF1<0,则实数SKIPIF1<0的取值范围为_________.77.SKIPIF1<0在SKIPIF1<0单调递增,则SKIPIF1<0的范围是__________.78.若a,b为实数,且SKIPIF1<0,SKIPIF1<0,则SKIPIF1<0的取值范围是___________.79.已知函数SKIPIF1<0,函数SKIPIF1<0有四个零点,则实数SKIPIF1<0的取值范围是______.80.已知定义于实数SKIPIF1<0上的奇函数SKIPIF1<0满足SKIPIF1<0,则不等式SKIPIF1<0的解集为______.81.若对任意x>0,恒有SKIPIF1<0,则实数a的取值范围为_____.82.已知函数SKIPIF1<0,其中SKIPIF1<0为实数,若对任意的SKIPIF1<0,有SKIPIF1<0,则SKIPIF1<0的最小值为_________.83.关于SKIPIF1<0的方程SKIPIF1<0有两个不等实根,则实数SKIPIF1<0的取值范围是___________.84.若SKIPIF1<0是实数,SKIPIF1<0是自然对数的底数,SKIPIF1<0,则SKIPIF1<0______.85.已知关于SKIPIF1<0的方程SKIPIF1<0恰有两个实数解,则实数SKIPIF1<0的取值范围是______.86.已知m为整数,若对任意SKIPIF1<0,不等式SKIPIF1<0恒成立,则m的最大值为______.87.函数SKIPIF1<0的图象恰好经过三个象限,则实数SKIPIF1<0的取值范围是_________.88.已知周期为SKIPIF1<0的函数SKIPIF1<0满足SKIPIF1<0,当SKIPIF1
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