1 . 若
,
,且
.
(1)解关于
的不等式
的解集(解集用
的三角值表示);
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f07029c97c324d32f258f18a96654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1223408bc8376ef235cb9ccbe9f99e.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7928121c5d5600a3f9c905ffb46b4ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
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解题方法
2 . 已知函数
.
(1)当
时,求方程
的解;
(2)若对任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5f3e39601e09792e22468dcc594bd7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 研究函数首先要研究其性质和图象,然后利用性质和图象来解决问题如探究函数
.
(1)探究性质
①求
的定义域并判断
奇偶性;
②讨论
的单调性;
(2)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ea7e14c2e6ffb21eea4baa00b49fe0.png)
(1)探究性质
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0dc0f04907b0aa96568011f525935b.png)
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4 . (1)化简求值: ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69f6ce4feba0375c31ed6a0f61cf48e.png)
(2)已知
,
,
,
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69f6ce4feba0375c31ed6a0f61cf48e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b430da74168bd25fd3f156c62e6f393c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110ab1eec7af116f797f33043381087d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0976fbec433a1cf7635f2eb3a1d92a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef23a88af5ff4804fc88251437d4ab32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c65d2f40f30cd01c3d42bdbcf200e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0cdecd7c6e0775e4d53db1135c353e.png)
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名校
解题方法
5 . 在平面直角坐标系
中,角
的始边为
轴的非负半轴,终边经过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2eb4369b1a7fcf28e56f5703ae9966.png)
(1)求
的值和
;
(2)化简求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2eb4369b1a7fcf28e56f5703ae9966.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)化简求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f224e2e7ac85f4ae55c4fd0a9fb6123.png)
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2024-01-21更新
|
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3卷引用:湖北省咸宁市崇阳县第二高级中学2023-2024学年高一上学期期末模拟考试数学试题
名校
6 . 已知
.
(1)若关于
的不等式
的解集为
或
,求实数
的值;
(2)若关于
的不等式
的解集中恰有
个整数,求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501a970edc875d41d8031d5433da04d0.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562454df2e3ecfc711e43631fce14890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bdd83aa02152e0d1063c3a68e8fca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ca8b383ff1cfa3a42c8fd10f45d33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-08-06更新
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3卷引用:湖北省黄冈市2020-2021学年高二下学期期末数学试题
湖北省黄冈市2020-2021学年高二下学期期末数学试题(已下线)3.3 从函数观点看一元二次不等式和一元二次方程(1)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)湖南省常德市第一中学2023-2024学年高一上学期10月月考数学试题
7 . 求下列各式的值:
(1)已知
是方程
的两个实根,求
的值;
(2)化简
,并求值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b981c9fa52b21c0de5f46dbc7d101fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c5b46e81044efa7090be7ae678ff72.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ced42d1ec614cfe2a84c59c147520b.png)
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名校
8 . (1)求函数
,
的值域;
(2)解关于
的不等式:
(
,且
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1aed35cf68a957c06e249468f12f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69303621c56f67b4ec4e0ac575deb554.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e90996eed9aa37dd432d0c4606aa6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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2021-01-28更新
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5卷引用:湖北省恩施州恩施市第三高级中学2022-2023学年高一上学期期末数学试题
12-13高三上·湖北黄冈·期末
9 . 对于三次函数
,给出定义:设
是函数
的导数,
是
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.某同学经过探究发现: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.
若
,请你根据这一发现,求:
(1)函数
对称中心为______ ;
(2)计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0666ae9ea27c8428cd921b7418f9b766.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0666ae9ea27c8428cd921b7418f9b766.png)
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2016-12-01更新
|
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5卷引用:2012届湖北省黄冈市高三上学期期末考试文科数学
(已下线)2012届湖北省黄冈市高三上学期期末考试文科数学河北省保定市高碑店市崇德实验中学2024届高三上学期期末数学试题(已下线)2011—2012学年四川省金堂中学高二下学期期中(文理)数学试卷人教B版(2019) 选修第三册 北京名校同步练习册 第六章 导数及其应用 6.1 导数 6.1.4 求导法则及其应用山西省太原市师苑中学校2023-2024学年高三下学期第二次月考数学试题
10 . 化简求值
(1)
;
(2)若
,求
的值
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae77291cf275016dd1b4062441bd993.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7df483b0eb90d0c32e95ef6fd59bca.png)
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2022-01-17更新
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