题目
题型:不详难度:来源:
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005734-67561.png)
(1) 若存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-42558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-75703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-15531.png)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-76647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-33787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-21023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-15531.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-89929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-15880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-77545.png)
解析
试题分析:(1)直接零函数小于零,解一元二次不等式即可
(2)根据
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-76647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-33787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-21023.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-94558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-41895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-89929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-15880.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-32389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-33787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-13215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005738-32630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005738-89312.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-15880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005738-99111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005738-81103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005739-30977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005739-22496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-33787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005739-31517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005739-97348.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005739-49610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005740-83372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005736-15880.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005740-56894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005740-33489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005741-59129.png)
综上可知,
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005735-15531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005737-77545.png)
点评:解决该试题的关键是根据已知条件得到二次不等式,结合二次函数性质得到结论。同时对于绝对值函数,要分类去掉其符号。
核心考点
举一反三
A.(2,1) | B.(4,3) | C.(3,4) | D.(10,5) |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005722-68172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005722-74167.png)
①该函数的定义域是
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005722-99433.png)
③该函数的最小值为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005722-48284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005723-99223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005723-41918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005723-88961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005723-41918.png)
其中,所有正确结论的序号是
对于定义域为D的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005704-66457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-84385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-80297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-97242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-84385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-80297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-80297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005704-66457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-98810.png)
(1)求闭函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-58225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005705-80297.png)
(2)判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005706-18156.png)
(3)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005706-80447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005706-62801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005653-13547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005653-80626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005653-25920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005654-94977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005654-47769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005654-77339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005654-28059.png)
A.①③ | B.①④ | C.②③ | D.②④ |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005631-83638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005632-84066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005632-84845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005633-81617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005633-91095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005633-90954.png)
(Ⅰ)若某时期美元贬值指数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005634-61511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005631-83638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005631-83638.png)
(Ⅱ)若该企业加工产品订单的金额为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005631-83638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005634-98476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005634-36541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005631-83638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205005633-81617.png)
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