题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-96120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-65532.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-24991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-84542.png)
(2)证明:曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-81494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-85679.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-79432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-24289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-35888.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-80246.png)
解析
试题分析:(1)首先求出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-64108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-57817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-24991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-84542.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-85389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-67961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-73317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-67961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-44646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-44157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-65933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-13553.png)
,又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-91234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-19877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-88945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-81494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-85679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-66690.png)
(3)作差得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-27865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-84073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-99801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-66499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-38544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-44646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-61314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-24136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-45143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-79432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-57435.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-79669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-60135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-24991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-84542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-41978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021209-80246.png)
(2) 令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-61164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021207-65532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-67961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-73317.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-91234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021215-45814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021215-21410.png)
因此,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021215-75454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021215-71703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-91657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-39562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-29521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-77046.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-44157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-65933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-13553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-91234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-19877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021211-88945.png)
所以曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-81494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-85679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-66690.png)
(3) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021217-97523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021217-92838.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021212-84073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-39562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021217-21693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-66499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021217-41680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021217-58772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021218-25246.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021218-32914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-38544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021210-44646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-61314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-24136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021213-45143.png)
即当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021216-39562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021218-68649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-79432.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021218-14192.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021208-79432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021214-57435.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021158-53013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021158-75882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021159-33333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021159-17241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021159-86015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021159-44260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021200-91260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021200-66135.png)
A. B. C. D.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021151-89551.png)
A.1 | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021140-91236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021140-39953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021140-67625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021140-52437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021140-29199.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021141-19951.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021141-82937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021141-75701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021141-15738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021132-84683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021132-41616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021132-93756.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021122-17895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021122-18392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021122-88422.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021123-25962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021123-70687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018021123-94890.png)
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