12-13高三上·广东中山·期末
1 . 已知函数
的图象与函数g(x)的图象关于直线
对称,令
则关于函数h(x)有下列命题:
①
为图象关于y轴对称; ②
是奇函数;
③
的最小值为0; ④
在(0,1)上为减函数
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44adf3141466c80945ab13c0a2ffe0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
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2 . 设
是定义在
上的函数.①若存在
,使
成立,则函数
在
上单调递增;②若存在
,使
成立,则函数
在
上不可能单调递减;③若存在
对于任意
都有
成立,则函数
在
上单调递增.则以上述说法正确的是_________ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5985b2d230dea42997f863626d78e187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2f24b4fa5308650a244d954f78f09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5985b2d230dea42997f863626d78e187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ee7abd882ba99660bca68ebf544cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec80634a6e2b2c85f845fa368b3a5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f922e651a11f1271517aea06766d8e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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14-15高三上·四川成都·阶段练习
3 . 下图展示了一个由区间
到实数集
的映射过程:区间
中的实数
对应数上的点
,如图1;将线段
围成一个圆,使两端点
恰好重合,如图2;再将这个圆放在平面直角坐标系中,使其圆心在
轴上,点
的坐标为
,如图3.图3中直线
与
轴交于点
,则
的象就是
,记作
.
![](https://img.xkw.com/dksih/QBM/2014/9/26/1571864397897728/1571864403492864/STEM/da520efd-fd79-4e98-80ad-236604c37668.png?resizew=580)
下列说法中正确命题的序号是__________ .(填出所有正确命题的序号)
①方程
的解是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
;
②
;
③
是奇函数;
④
在定义域上单调递增;
⑤
的图象关于点
对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883f23ab75b490d6e9e03b8ff8b269c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cb8c71bc8935015b404485d8ee8b44.png)
![](https://img.xkw.com/dksih/QBM/2014/9/26/1571864397897728/1571864403492864/STEM/da520efd-fd79-4e98-80ad-236604c37668.png?resizew=580)
下列说法中正确命题的序号是
①方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845b0c10b9623a24dcd801a3ba24782.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d66e9d52546beeea016d6d7d3f0ca6.png)
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4 . ①在同一坐标系中,
与
的图象关于
轴对称;
②
是奇函数;
③
的图象关于
成中心对称;
④
的最大值为
;
⑤
的单调增区间:
.
以上五个判断正确的有____________________ (写上所有正确判断的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93eff115097641ca9293b1e01733c161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ebcc3f5b543052b4ab54c437ddcbe2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f288cdf7158abffb4ab36a716390797.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e8529294c813edc3b6276a8067abbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26bb4c33962cd877dff59c7c429c98c1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e008a42cb6cc23be875290d1865f5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad98e3d3cc6692234e6c8358f9b87b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4bfae95b25e69c46c5954aa98a0195.png)
以上五个判断正确的有
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