已知向量(Ⅰ)用含x的式子表示及;(Ⅱ)求函数的值域;(Ⅲ)设,若关于x的方程有两个不同的实数解,求实数的取值范围.

已知向量(Ⅰ)用含x的式子表示及;(Ⅱ)求函数的值域;(Ⅲ)设,若关于x的方程有两个不同的实数解,求实数的取值范围.

题型:不详难度:来源:
已知向量
(Ⅰ)用含x的式子表示
(Ⅱ)求函数的值域;
(Ⅲ)设,若关于x的方程有两个不同的实数解,求实数的取值范围.
答案
(Ⅰ)(Ⅱ)(Ⅲ)
解析

试题分析:(Ⅰ)  2分
  
   4分
(Ⅱ)
  ∴        8分
(Ⅲ)由得:    
          10分
     12分
点评:若,利用可将求模的问题转化为向量运算,在二次方程的根的分布的题目中常结合二次函数图像与x相交的位置来求解
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