新高考数学一轮复习 导数专项重点难点突破专题03 利用函数的单调性求参数取值范围(原卷版)

专题03利用函数的单调性求参数取值范围一、单选题1．已知函数SKIPIF1<0在SKIPIF1<0上为单调递增函数，则实数SKIPIF1<0的取值范围为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．若函数SKIPIF1<0在区间SKIPIF1<0内单调递增，则a的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．若函数SKIPIF1<0在SKIPIF1<0上单调递增，则实数a的取值范围是（）A．（-1，1） B．SKIPIF1<0 C．（-1，+∞） D．（-1，0）4．若函数SKIPIF1<0在SKIPIF1<0上单调递增，则实数SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．若函数SKIPIF1<0在区间SKIPIF1<0内存在单调递增区间，则实数a的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函数SKIPIF1<0存在三个单调区间，则实数SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．若函数SKIPIF1<0在区间SKIPIF1<0上单调递减，则实数SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．已知函数SKIPIF1<0在SKIPIF1<0上单调递增，则a的取值范围为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<09．若SKIPIF1<0是R上的减函数，则实数a的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．若函数SKIPIF1<0在区间SKIPIF1<0上单调递减，则实数a的取值范围为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．若函数SKIPIF1<0在SKIPIF1<0上单调递减，则实数SKIPIF1<0的取值范围为A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多选题12．若函数SKIPIF1<0，在区间SKIPIF1<0上单调，则实数m的取值范围可以是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空题13．若函数SKIPIF1<0有三个单调区间，则实数a的取值范围是________．14．已知函数SKIPIF1<0，若SKIPIF1<0的单调递减区间是SKIPIF1<0，则实数SKIPIF1<0的值为________.15．若函数SKIPIF1<0在SKIPIF1<0单调递增，则实数m的取值范围为________.16．已知函数SKIPIF1<0，SKIPIF1<0，SKIPIF1<0.对于任意SKIPIF1<0，且SKIPIF1<0，必有SKIPIF1<0，则SKIPIF1<0的取值范围是___________.17．已知函数SKIPIF1<0在SKIPIF1<0上不单调，则SKIPIF1<0的取值范围是______.18．若实数SKIPIF1<0，SKIPIF1<0，则函数SKIPIF1<0在区间SKIPIF1<0单调递增的概率为___________.19．若函数SKIPIF1<0在区间(1，4)上不单调，则实数a的取值范围是___________.四、解答题20．已知函数SKIPIF1<0.（1）若SKIPIF1<0在区间SKIPIF1<0上为增函数，求a的取值范围.（2）若SKIPIF1<0的单调递减区间为SKIPIF1<0，求a的值.21．已知函数SKIPIF1<0.(1)若SKIPIF1<0，求函数SKIPIF1<0的极值；(2)若函数SKIPIF1<0在SKIPIF1<0上单调递增，求a的取值范围.22．已知SKIPIF1<0，函数SKIPIF1<0，SKIPIF1<0为自然对数的底数）．(1)当SKIPIF1<0时，求函数SKIPIF1<0的单调递增区间；(2)若函数SKIPIF1<0在SKIPIF1<0上单调递增，求SKIPIF1<0的取值范围；23．已知函数SKIPIF1<0．(1)若曲线SKIPIF1<0在点SKIPIF1<0处的切线方程为SKIPIF1<0，求实数a，b的值；(2)若函数SKIPIF1<0在区间SKIPIF1<0上存在单调增区间，求实数a的取值范围；(3)若SKIPIF1<0在区间SKIPIF1<0上存在极大值，求实数a的取值范围（直接写出结果）．24．已知函数SKIPIF1<0.(1)若函数SKIPIF1<0在R上单调递增，求实数a的取值范围；(2)若函数SKIPIF1<0的单调递减区间是SKIPIF1<0，求实数a的值；(3)若函数SKIPIF1<0在区间SKIPIF1<0上单调递减，求实数a的取值范围.25．已知函数SKIPIF1<0.（1）当SKIPIF1<0时，求函数SKIPIF1<0的最值（2）若函数SKIPIF1<0在区间SKIPIF1<0上是减函数，求实数a的取值范围.26．已知函数SKIPIF1<0.（1）当SKIPIF1<0时，求曲线SKIPIF1<0在点SKIPIF1<0处的切线方程；（2）若SKIPIF1<0在区间SKIPIF1<0上单调递增，求实数SKIPIF1<0的取值范围.27．已知函数SKIPIF1<0，SKIPIF1<0