题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121706-60350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121706-50685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121706-12561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-78360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-81789.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121706-60350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-42693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-78360.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-86325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121708-86483.png)
(i)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121708-64232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121708-44387.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121708-92680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121708-71883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-22196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-87331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-66517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-22484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121710-36816.png)
(ii)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121710-74221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121710-30091.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-66517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121711-17713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121709-22484.png)
综上所述,所求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121707-81789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121711-67447.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121654-60135.png)
(1)求实数b,c的值;
(2)求函数f(x)在区间[-1,1]上的最小值;
(3)若函数y=f(x)图象上存在两点P,Q,使得对任意给定的正实数a都满足△POQ是以O为直角顶点的直角三角形,且此三角形斜边中点在y轴上,求点P的横坐标的取值范围。
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121641-65878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121641-52075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-70651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-42054.png)
(Ⅰ) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-70651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-42054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-42054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-33153.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-84899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121642-33153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121633-56077.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121633-14832.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121633-72707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121633-72913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121634-51357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121622-85828.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121622-28781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121622-25193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121623-26348.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121623-53482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121622-28781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121623-33907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121623-86591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121622-28781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121608-99657.png)
(Ⅰ)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121608-26420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121608-83475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121609-60636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121609-52351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121609-27111.png)
(Ⅱ)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121609-28483.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121610-79866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121610-43430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121610-96783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018121609-52351.png)
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