解题方法
1 . 已知函数
是定义在
上的奇函数,当
时,
,
的解析式;
(2)在给定的直角坐标系内画出
的图像,并指出
的减区间(不必说明理由);
(3)求
在
上的最大值和最小值(不必说明理由).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd99e9e88fd2c6e5683a1b1529f5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在给定的直角坐标系内画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff44fbe4843a15dd8170d2e1f7eb59e.png)
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名校
解题方法
2 . 已知函数
,若关于x的方程
有4个实数解
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8df36591aa37a1797202ea979694d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0e2d75b5268cda6f82aeb10a70d970.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
对任意的x,
,都有
,且当
时,
,
.
(1)判断函数
的奇偶性,并证明当
时,
;
(2)判断函数
在区间
上的单调性,并用定义法证明;
(3)设实数
,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2357ed8dbe6d3911738b8f747d670d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51661fd357fdccf16a18ceaa0601afbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8488679e2fa13e44ffa5b4d802848d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8b1913d38424632464b0a46ddaf0f6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2484f4dc493a45dae01bb8d385ee14e5.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
(3)设实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68783e70fe281480b7367af89fd51bc.png)
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名校
解题方法
4 . 设函数
是偶函数.
(1)求
的值;
(2)设函数
,若不等式
对任意的
恒成立.求实数
的取值范围;
(3)设
,当
为何值时,关于
的方程
有2个实根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387e25c33a7668bfba0139ca7bf687b7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223729418bb32433adeaa2a5f986b5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3368388525e30cb7179909b03184eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387fb3e25ad456f2263df40b0cdaf915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2887af6ad31c2e74c434f2d8c60d8a0.png)
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解题方法
5 . 若函数
在
上单调递减,则实数
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2e228a79d9e58518de5b85d2d7b925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知函数
,其中
为常数.
(1)当
时,求函数
的单调区间;
(2)当
时,存在2023个不同的实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2598ef41d7eff2388408b405ebce0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb0e6507c547d80721f03d411ad9b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ad2203ef6ef4b876009e2d22a04a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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7 . 已知函数
,则函数
的零点为__________ ;若关于
的方程
有5个不同的实数根,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17e0cf9fe1ad775e0c18dc9dbab9992.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/2895268a24b773d8498d0c8cf02dd7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
8 . 已知函数
,若
的值域为
,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9beb2059f574716ac94bce741d0edf0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc7bc07dde43da45e75bb38793257f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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2023-12-09更新
|
639次组卷
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4卷引用:浙江省杭州市萧山区第六高级中学2023-2024学年高一上学期12月月考数学试题
浙江省杭州市萧山区第六高级中学2023-2024学年高一上学期12月月考数学试题江苏省徐州市徐州高级中学2023-2024学年高一上学期期中数学试题(已下线)专题04 函数的性质与应用1-期末复习重难培优与单元检测(人教A版2019)湖北省武汉市第二中学2023-2024学年高一上学期期末数学试卷
9 . 定义
为与x距离最近的整数(当x为两相邻整数算术平均数时,
取较大整数),令函数
,如:
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb112e512d5a887410d86b7feace594.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b888f7b8ba7bb524207259273c5d31e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac9f6dd8dfc47f2c207cee942ce9256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c05d3d419bb90b252a6850b5861b839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8997b3f345bfc05556015adffd72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f868986895a1318bb65db1a2507648ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a75c6e2b2f2a1d77dd4048a6b80ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0672202d742a897b1bc0920284e17c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb112e512d5a887410d86b7feace594.png)
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|
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2卷引用:浙江省金华第一中学2023-2024学年高一上学期10月月考数学试题
10 . 已知定义在
上的函数
的图象关于直线
对称,函数
的图象关于点
中心对称,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3c1578b7486f0d902bfae647400467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0062d7dfd78c901789b09acab78a8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
A.![]() | B.8是函数![]() |
C.![]() | D.![]() |
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|
851次组卷
|
2卷引用:浙江省强基联盟2023-2024学年高三上学期10月联考数学试题