已知函数
,(i)若
,将函数
沿
轴向右平移
个单位后得到一个偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
___________ ;(ii)若
在
上单调递增,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89925999eb2b8b0e4f8b768c6ffc5ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f025bb0112c19870e3e5d489ec03fcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe386ad25a4c1cce633ed4e129127047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
更新时间:2023-05-18 05:40:33
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【推荐1】已知函数
满足
,且
在区间
上单调递减,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6927367108dcf8095cc2c7c8ab0fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625915cf67bce63975f951fcbf6d3ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab04ed01b17326fd467d62afdc754c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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【推荐2】已知函数
在
上单调递减,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988a339d40e4199fb4239eabc26bc1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b10916611dd9a386090f128e3dc2249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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【推荐1】已知偶函数
(
),若对任意的
都有
,则
的值为____ ;函数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c253e809dd6b4c9a041b53a0e066c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6f1739600f6df556384d56ef8d5527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83776c0421fea5769bf8b8ab7dbba9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5a39449bfcd1d2448b4d675f717e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0f11aa9a8765e72d713463c05aebba.png)
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【推荐2】给出以下四个结论:
(1)函数
的对称中心是
;
(2)若关于
的方程
在
没有实数根,则
的取值范围是
;
(3)已知点
与点
在直线
两侧,则
;
(4)若将函数
的图象向右平移
个单位后变为偶函数,则
的最小值是
;
其中正确的结论是:_____________________ (把所有正确命题的序号填上).
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8652e6d0789db7aee593ce844cda1f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b334e2eaa7e8fb79cef8208b56ee4f5.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d7abb827b33a50040b4cd853660846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451fc6e4248b63e70595f23842f06c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962b58f6e56b0bdd3d356b016a16760b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889abc765b78261550b887e9b46fd7e4.png)
(4)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7e949695da125bf4e0de0d96049d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4145ac17697bc0f91225af690eeeff0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdaf49f9611922348aa2784465da614.png)
其中正确的结论是:
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解题方法
【推荐1】已知函数
,
:①函数
的图象关于点
对称;②函数
的最小正周期是
;③把函数f(2x)图象上所有点向右平移
个单位长度得到的函数图象的对称轴与函数y=
图象的对称轴完全相同;④函数
在R上的最大值为2.则以上结论正确的序号为_______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587882ac081850caa4447c44a7dbb845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae76e7c5a41117b95a13a4eeeda354f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05486d92fe6c6b01b7c18b63b3b7580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43d2c9bcaa6360ffdd67f57c78772ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c487fec20bd809e0baf5cb39afe8979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a4fb55054b6771fd0255e91cb4640b.png)
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【推荐2】将函数
(
)的图象向左平移
个单位长度后,所得图象关于直线
对称,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16689f9dc40f150879a9140cd674f72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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【推荐3】设函数
的图象关于直线
对称,它的周期是
,有下列说法:
①
的函数图象过点
;
②
在
上是减函数;
③
的一个对称中心是
;
④将
的图象向右平移
个单位长度得到函数
的图象.
其中正确的序号是________ .(正确的序号全填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0023c3810179496a264ea418532c8b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eae5056ae4e4f11c49fe4b1fb67908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2314773a471691500664668800d52c81.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1483f977febc4b115eea888cafde9ae.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227851a503fa7e5d658c6002a8e77768.png)
④将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f10dbe72c0461234c55436572949ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/121c7d727fe7147cc7ad21c016f22759.png)
其中正确的序号是
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