【題目】. 已知函數(shù)
（
為自然對數(shù)的底數(shù)）有兩個極值點，則實數(shù)
的取值范圍是（ ）
A. 
B. 
C. 
D. 
【答案】A
【解析】
，
若函數(shù)
有兩個極值點，
則 
和
在
有 2 個交點，
令
, 則 
，
在遞減 , 而
，
故 
時 , 
, 即
, 
遞增，
時 , 
, 即
,遞減，
故
，
而
時 , 
,
時 , 
，
若 和 在 有 2 個交點
只需 
，
點晴：本題考查函數(shù)導數(shù)與函數(shù)的極值點的個數(shù)問題：可利用數(shù)形結合的辦法判斷交點個數(shù)，如果函數(shù)較為復雜，可結合導數(shù)知識確定極值點和單調(diào)區(qū)間從而確定其大致圖象.方程的有解問題就是判斷是否存在零點的問題，可參變分離，轉(zhuǎn)化為求函數(shù)的值域問題處理. 恒成立問題以及可轉(zhuǎn)化為恒成立問題的問題，往往可利用參變分離的方法，轉(zhuǎn)化為求函數(shù)最值處理．也可構造新函數(shù)然后利用導數(shù)來求解.注意利用數(shù)形結合的數(shù)學思想方法.
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