第06講函數(shù)的概念及其表示（精講）【A組

】一、單選題1．下列各組函數(shù)為同一函數(shù)的是（）①SKIPIF1<0與SKIPIF1<0;②SKIPIF1<0與SKIPIF1<0;③SKIPIF1<0與SKIPIF1<0.A．①② B．① C．② D．③2．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．設函數(shù)SKIPIF1<0，若SKIPIF1<0，則實數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．24．若函數(shù)SKIPIF1<0，則“SKIPIF1<0”是“SKIPIF1<0”的（

）A．充分不必要條件 B．必要不充分條件C．充要條件 D．既不充分也不必要條件5．下列函數(shù)中值域為SKIPIF1<0的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．高斯是德國著名的數(shù)學家，近代數(shù)學奠基者之一，享有“數(shù)學王子”的稱號，他和阿基米德、牛頓并列為世界三大數(shù)學家.用其名字命名的“高斯函數(shù)”為：SKIPIF1<0，SKIPIF1<0表示不超過SKIPIF1<0的最大整數(shù)，如SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，已知SKIPIF1<0，則函數(shù)SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題7．下列函數(shù)，值域包含SKIPIF1<0的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0，其值SKIPIF1<0不可能的是（

）A．-3 B．-1 C．1 D．3三、填空題9．函數(shù)SKIPIF1<0的定義域是______.10．若函數(shù)SKIPIF1<0在SKIPIF1<0上為嚴格增函數(shù)，則實數(shù)SKIPIF1<0的取值范圍是__．11．已知SKIPIF1<0，則SKIPIF1<0__．四、解答題12．定義在R上的函數(shù)SKIPIF1<0對任意實數(shù)SKIPIF1<0都有SKIPIF1<0.(1)求函數(shù)SKIPIF1<0的解析式；(2)若函數(shù)SKIPIF1<0在SKIPIF1<0上是單調(diào)函數(shù)，則求實數(shù)SKIPIF1<0的取值范圍.【B組

】一、單選題1．設函數(shù)SKIPIF1<0若SKIPIF1<0存在最小值，則實數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．函數(shù)SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題4．下列命題正確的是（

）A．函數(shù)SKIPIF1<0的圖象與直線SKIPIF1<0可能有兩個不同的交點B．函數(shù)SKIPIF1<0與函數(shù)SKIPIF1<0是相同函數(shù)C．若SKIPIF1<0，則SKIPIF1<0的取值范圍是SKIPIF1<0D．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域為SKIPIF1<05．已知函數(shù)SKIPIF1<0則以下說法正確的是（

）A．若SKIPIF1<0，則SKIPIF1<0是SKIPIF1<0上的減函數(shù)B．若SKIPIF1<0，則SKIPIF1<0有最小值C．若SKIPIF1<0，則SKIPIF1<0的值域為SKIPIF1<0D．若SKIPIF1<0，則存在SKIPIF1<0，使得SKIPIF1<0三、填空題6．求函數(shù)SKIPIF1<0的值域為_________.7．已知函數(shù)SKIPIF1<0，若對任意實數(shù)SKIPIF1<0，總存在實數(shù)SKIPIF1<0，使得SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是___．四、解答題8．已知二次函數(shù)SKIPIF1<0的圖像與直線SKIPIF1<0只有一個交點，且滿足SKIPIF1<0，SKIPIF1<0．(1)求二次函數(shù)SKIPIF1<0的解析式；(2)若對任意SKIPIF1<0，SKIPIF1<0，SKIPIF1<0恒成立，求實數(shù)m的范圍．9．已知函數(shù)SKIPIF1<0對任意的實數(shù)SKIPIF1<0，SKIPIF1<0，都有SKIPIF1<0成立.(1)求SKIPIF1<0，SKIPIF1<0的值;(2)求證：SKIPIF1<0（SKIPIF1<0）;(3)若SKIPIF1<0，SKIPIF1<0（SKIPIF1<0，SKIPIF1<0均為常數(shù)），求SKIPIF1<0的值.【C組

】一、單選題1．已知定義域為SKIPIF1<0的函數(shù)SKIPIF1<0滿足：①對任意SKIPIF1<0，SKIPIF1<0恒成立；②若SKIPIF1<0則SKIPIF1<0.以下選項表述不正確的是（

）A．SKIPIF1<0在SKIPIF1<0上是嚴格增函數(shù) B．若SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0 D．函數(shù)SKIPIF1<0的最小值為22．已知函數(shù)SKIPIF1<0，若存在區(qū)間SKIPIF1<0，使得函數(shù)SKIPIF1<0在SKIPIF1<0上的值域為SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題3．下列說法中錯誤的為（

）A．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域為SKIPIF1<0B．若SKIPIF1<0，則SKIPIF1<0C．函數(shù)的SKIPIF1<0值域為：SKIPIF1<0D．已知SKIPIF1<0在SKIPIF1<0上是增函數(shù)，則實數(shù)SKIPIF1<0的取值范圍是SKIPIF1<0三、填空題4．已知函數(shù)SKIPIF1<0的值域為SKIPIF1<0，側(cè)實數(shù)SKIPIF1<0