数
,定义函数
,给出下列命题:①
;②函数
是偶函数;③当
时,若
,则有
成立;④当
时,函数
有
个零点.其中正确命题的个数为_________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81228d4ab44db94511a39cf7ca2bfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15de771c9a23c15fa63fcc47142af32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2035eefc2295c86c22ec8b728c0d7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2316563595e29fd4279845ab8afc5ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bc334305133ac2b4b8d21efeb3324c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b6b4e3af7380221cf81e166233ea98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979ca40d9f5a28cbb0604acb53f89548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda48853e8bdb7e266370b4e0d5a258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07efabc631d6cd55027506ba48cdc35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
2015·辽宁·三模 查看更多[5]
2015届辽宁省师大附中高三模拟考试文科数学试卷2014-2015学年江苏省淮安市高二下学期期末测试文科数学试卷河北辛集中学高一上学期数学限时训练试卷安徽省定远重点中学2019届高三上学期第一次月考数学(理)试题(已下线)【南昌新东方】江西师大附中2020-2021学年高三上学期10月第一次月考数学(理)试题
更新时间:2016-12-03 16:09:33
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【推荐1】关于函数
有以下4个结论:
①定义域为
;
②递增区间为
;
③是非奇非偶函数;
④值域是
.
则正确的结论是______ (填序号即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b0b7cf2a2a1617367fb4e0feb79cd2.png)
①定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b788993791f235ee6df8ca37d2551a4.png)
②递增区间为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
③是非奇非偶函数;
④值域是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4ee2aa24fa9a2ec499065fd05c093b.png)
则正确的结论是
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【推荐2】若函数
,则
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98348a6484adcce636bb7220a69d8678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b37ae6f159061b43a3890f0c54e94c.png)
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【推荐1】对于三次函数
,定义:设
是函数
的导数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.有同学发现“任何一个三次函数都有
拐点
;任何一个三次函数都有对称中心;且
拐点
就是对称中心”.设函数
,请你根据这一发现,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14591bf478ca9e62c18fa863a4458a1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e367d934bc5de44e8ef7bcd3a2aa1bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8006c87da66bdc3dfbfca655786704c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724536154ae1f42b09aefea975bbc6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b245db45fbcd54c98a252e571c7a81c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbf1211335bcbc0ebb05414669eda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213925a6262262da1dd2b19daec83aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3966d6f2310513ccb00fbefd9aa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388d1c5a4bf415d05ec014bd88835cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3966d6f2310513ccb00fbefd9aa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388d1c5a4bf415d05ec014bd88835cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6684c7e3ecd3e6638e3f1b801969e344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14591bf478ca9e62c18fa863a4458a1.png)
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【推荐2】我们知道,函数
的图象关于坐标原点成中心对称图形的充要条件是函数
为奇函数,有同学发现可以将其推广为:函数
的图象关于点
成中心对称图形的充要条件是函数
为奇函数,则函数
图象的对称中心为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827539d066d1b78e7ef8bc1569864971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830a9e13de1222eb9c3d5e4b636f50fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15259db3816b8be76fa9670a378ba3f6.png)
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【推荐1】已知
,若方程
有四个不同的解
,则下面结论正确的代号为_________ .
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b70fc850e0eec4580731c4d8c74849a.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d900314efb0e4cacb6e5de945b5397.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a788b81405c3642b243211c75be57aac.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162dedf151219e4d2ec0f2b48ca57250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b70fc850e0eec4580731c4d8c74849a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d900314efb0e4cacb6e5de945b5397.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a788b81405c3642b243211c75be57aac.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22487a9a62cf9666ab5a266c104d786.png)
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【推荐2】设函数
,若关于
的方程
有四个实数解
,
,
,
,且
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cac1bce88eeec41eae1cfe92858eb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd1bc156238be2b7b8c29d707a44528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fc6bfbdab9021793b45baacc4680b3.png)
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