新高考数学一轮复习 函数专项重难点突破专题02 函数的值域(原卷版)

专题02函数的值域考点一常见函数值域一、单选题1．下列函数中值域为SKIPIF1<0的是（

）A．y=|x-1|B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．当SKIPIF1<0时，则函数SKIPIF1<0的值域为（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函数SKIPIF1<0，则SKIPIF1<0的最小值是（

）A．SKIPIF1<0 B．0 C．1 D．24．函数SKIPIF1<0的值域为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函数SKIPIF1<0，则SKIPIF1<0的值域为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多选题6．下列函数中，最小值为2的函数是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空题7．已知SKIPIF1<0，函数SKIPIF1<0的值域为______________8．函数SKIPIF1<0的值域为______.四、解答题9．求下列函数的值域.(1)SKIPIF1<0;(2)SKIPIF1<0;(3)SKIPIF1<0,SKIPIF1<0.10．求下列函数的值域：(1)SKIPIF1<0；(2)SKIPIF1<0；(3)SKIPIF1<0；(4)SKIPIF1<0；(5)SKIPIF1<0；(6)SKIPIF1<0；(7)SKIPIF1<0；(8)SKIPIF1<0；(9)SKIPIF1<0.考点二复杂函数值域一、单选题1．函数SKIPIF1<0的值域是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空题2．函数SKIPIF1<0的最大值与最小值分别为M和m，则SKIPIF1<0的值为__________．3．已知函数SKIPIF1<0为偶函数，则函数SKIPIF1<0的值域为___________.4．求函数SKIPIF1<0的值域为_________.5．函数SKIPIF1<0的值域为__．6．函数SKIPIF1<0的值域为______.7．函数SKIPIF1<0的最大值为______.8．若SKIPIF1<0，则函数SKIPIF1<0的值域是__________．9．函数SKIPIF1<0的值域是______．三、解答题10．已知SKIPIF1<0，求SKIPIF1<0的取值范围．11．已知幂函数SKIPIF1<0过点SKIPIF1<0．(1)求实数m的值；(2)求函数SKIPIF1<0的值域．考点三抽象函数值域一、单选题1．函数SKIPIF1<0的定义域为SKIPIF1<0，值域为SKIPIF1<0，那么函数SKIPIF1<0的定义域和值域分别是（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<02．已知函数SKIPIF1<0对任意SKIPIF1<0，都有SKIPIF1<0，当SKIPIF1<0，SKIPIF1<0时，SKIPIF1<0，则函数SKIPIF1<0在SKIPIF1<0，SKIPIF1<0上的值域为（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<03．定义在R上的函数SKIPIF1<0对一切实数x、y都满足SKIPIF1<0，且SKIPIF1<0，已知SKIPIF1<0在SKIPIF1<0上的值域为SKIPIF1<0，则SKIPIF1<0在R上的值域是（

）A．R B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空题4．若函数SKIPIF1<0的值域是SKIPIF1<0，则函数SKIPIF1<0的值域是____________.5．若函数SKIPIF1<0的值域是SKIPIF1<0，则函数SKIPIF1<0的值域为__．6．SKIPIF1<0是SKIPIF1<0上的奇函数，SKIPIF1<0是SKIPIF1<0上的偶函数，若函数SKIPIF1<0的值域为SKIPIF1<0，则SKIPIF1<0的值域为_____________．三、解答题7．已知函数SKIPIF1<0的定义域为SKIPIF1<0，且同时满足：（Ⅰ）对任意SKIPIF1<0，总有SKIPIF1<0；（Ⅱ）SKIPIF1<0；（Ⅲ）若SKIPIF1<0，则有SKIPIF1<0（1）试求SKIPIF1<0的值；（2）试求函数SKIPIF1<0的最大值；（3）试证明：当SKIPIF1<0时，SKIPIF1<0.考点四复合函数值域一、单选题1．已知函数SKIPIF1<0，则SKIPIF1<0的值域为（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．函数SKIPIF1<0的定义域为SKIPIF1<0，则函数SKIPIF1<0的值域为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知SKIPIF1<0，则SKIPIF1<0的值域为（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<0二、填空题4．函数SKIPIF1<0的最大值为______.5．函数SKIPIF1<0的值域是________________．6．若SKIPIF1<0，SKIPIF1<0，求函数SKIPIF1<0的值域________.7．函数SKIPIF1<0的值域为______.8．方程SKIPIF1<0有正数解，则SKIPIF1<0的取值范围是_________.9．函数SKIPIF1<0的最小值=__________________．考点五根据函数值域求参一、单选题1．已知函数SKIPIF1<0的值域为SKIPIF1<0，则实数SKIPIF1<0的取值范围是（

）A．(0，4) B．[1，4]∪{0} C．(0，1]∪[4，+∞） D．[0，1]∪[4，+∞）2．已知函数SKIPIF1<0的值域为SKIPIF1<0的值域为SKIPIF1<0，则SKIPIF1<0（

）A．7 B．8 C．9 D．103．已知函数SKIPIF1<0，若存在区间SKIPIF1<0，使得函数SKIPIF1<0在SKIPIF1<0上的值域为SKIPIF1<0，则实数SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知函数SKIPIF1<0的值域为R，则实数a的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函数SKIPIF1<0，SKIPIF1<0，若对任意的SKIPIF1<0，存在SKIPIF1<0，使SKIPIF1<0，则SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函数SKIPIF1<0若SKIPIF1<0的值域为SKIPIF1<0,则实数SKIPIF1<0的取值范围是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多选题7．已知函数SKIPIF1<0的定义域为SKIPIF1<0，值域为SKIPIF1<0，则实数对SKIPIF1<0的可能值为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0三、填空题8．已知函数SKIPIF1<0在闭区间SKIPIF1<0上的值域为SKIPIF1<0，则SKIPIF1<0的最大值为________.9．若函数SKIPIF1<0的定义域和值域均为SKIPIF1<0，则SKIPIF1<0的值为__________.10．已知SKIPIF1<0，x，y满足SKIPIF1