名校
1 . 设函数
,若函数
在R上有4个不同的零点,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd72c4726ea83cf00ff0aa2902985998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f0be268c091289f25b2d4cb9f8f789.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-06-25更新
|
1114次组卷
|
3卷引用:浙江省嘉兴市2021-2022学年高二下学期期末数学试题
浙江省嘉兴市2021-2022学年高二下学期期末数学试题福建省德化第一中学2021-2022学年高二下学期期末考试数学试题(已下线)第8章 函数应用 章末题型归纳总结 (2) -【帮课堂】(苏教版2019必修第一册)
名校
2 . 已知函数
.
(1)若
时,不等式
恒成立,求实数
的取值范围;
(2)若关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cbf249f801e849be4b1218c2e3ef59.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309943bf7f9aa14e0425d4313150177b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde61bd1a36e9e5e78a814ea76027992.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/bf01f1b48c9b85ddaeb9e8e0b32601f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-06-23更新
|
789次组卷
|
3卷引用:浙江省丽水市2021-2022学年高二下学期普通高中教学质量监控(期末)数学试题
解题方法
3 . 已知函数
.
(1)若函数
在区间
上不单调,求
的取值范围;
(2)当
,
时,求函数
的值域;
(3)设
,若关于
的方程
恰有三个不等实根,且函数
的最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba002700593e8da98edcaabd1d1c25f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44284ff1ea50429a0610e13363be6080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b611057f9bccaf253e9808c7eb8e781b.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1038157bf2a0b70de3553cadadbbf618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4a74c43ad4e60a4e132a8010f9be97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d7bdca2df9c4bef48feb7f787e8716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5897d99cc9414875f512f8cb3f5c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f787941cb1abfe9bb757276b765c0b.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(Ⅰ)若
,当
时,若不等式
恒成立,求实数
的值;
(Ⅱ)若
,且函数
在
上单调递增,求
的取值范围;
(Ⅲ)若函数
的图像在
上与
轴有两个不同的交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87926f9a4afb56368cb1c97d8e477b9.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601d19471e3106142d4a27df5272fc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b081b1439dd4a3f6dafec805b6785700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fedf467df08e286a342c088f61615e8e.png)
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5 . 已知函数
,若函数
有三个零点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfaf9ab4ccebc4192a85a09a273f05e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efaafa4f18078bb7f1b7bdd6fc862e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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6 . 已知函数
,
,
.
(1)若函数
存在零点,求
的取值范围;
(2)已知函数
,若
在区间
上既有最大值又有最小值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b9b1d29604d6123345f0950d88fa58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb82dce5907b307dafe426ef26dde9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9829ad49f32fb73dbde8d1d18ab3308e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e46c887599e769d04d03eda66d030e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d6a738d2fe0a72fb2462cfc61ccf64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(Ⅰ)若函数f(x)的最小值为8,求实数a的值;
(Ⅱ)若函数g(x)=|f(x)|+f(x)﹣16有4个零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0172d6e960c3bb1ed779c001e9e316cf.png)
(Ⅰ)若函数f(x)的最小值为8,求实数a的值;
(Ⅱ)若函数g(x)=|f(x)|+f(x)﹣16有4个零点,求实数a的取值范围.
您最近一年使用:0次
8 . 已知函数
,
,
.
(1)如果
时,
有意义,求实数
的取值范围;
(2)当
时,若函数
的图象上存在
两个不同的点与
图象上的
两点关于
轴对称,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70263d1498ad07143be1831cf4a33d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe262f526a778d1c38dd50d2fe20de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e6559f5f36da81f60e99f47eca900.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309943bf7f9aa14e0425d4313150177b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceeccbe1e6ac1b00e7e87b4f6f51e24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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9 . 设
,
,已知函数
.
(I)当
时,求
的单调增区间;
(Ⅱ)若对于任意
,函数
至少有三个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a138e92f67d2205eebfb56da3e2a118.png)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a86fd357ff2d2bff8a2818ff27fdbd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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