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1 . 已知函数
在
上有两个极值点,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afb26a4ec47618e6c5a57a25f185f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0702a1cdd02bec681b1e0d382a9d56a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-17更新
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1047次组卷
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6卷引用:海南省文昌中学2023-2024学年高二下学期期中段考数学试题
海南省文昌中学2023-2024学年高二下学期期中段考数学试题安徽省十五校教育集团2023-2024学年高二上学期期末联考数学试题2024届高三新改革数学模拟预测训练四(九省联考题型)(已下线)专题 6 根据极值情况求参数范围(已下线)6.2.2 导数与函数的极值、最值(2知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)专题01 一元函数的导数及其应用-3
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解题方法
2 . 已知函数
,若关于
的方程
恰有三个实数根,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1348dfba8b6ee2d0463a448bc58669b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7日内更新
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2卷引用:海南省2022-2023学年高一下学期期中考试数学试题
3 . 某信息需加密传输,发送方由明文
密文(加密),接收方由密文
明文(解密),已知加密的方法是英文的
的26个字母(不论大小写)依次对应
这26个自然数·通过变换公式:
将明文转换成密文,如
,即
变换成
,
,即
变换成
.按上述规定,若将明文译成的密文是
,则原来的明文是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370f60b08759485072f1e43237788b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370f60b08759485072f1e43237788b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc9f6d8085d1cad56fb409579031b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c490108d5c96ac07af02676cd4f2e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d60082b8938c893a964b5a18bd23f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8695029f51332295a5e8a8e11904e7be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a896866a8ccd3f3ab1ce9aa95d8cf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6a64f807e18eb702baae93bd43d58a.png)
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4 . 设
;
,若
是
的充分不必要条件,则
的取值范围是___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f423c28ae8a3c7e813d8409d3a30744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd576c445b56a5717e8a3c928daf55c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知偶函数
在
上单调递增,
.若
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516db3a563162cdb32ae8088cccf2c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7433a81634cd5d7f4d29e72976f6f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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7 . 已知
为定义在R上的奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ ,关于
的不等式
的解集为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5012167982db85f991797dd063e1467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
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8 . 已知直线
,圆
,圆
上恰有4个点到直线
的距离为1,则b的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b461ac7a165f5d9b968cf62f9c750c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-29更新
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180次组卷
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2卷引用:海南省文昌市文昌中学、华迈实验中学2023-2024学年高二上学期期中段考数学试题
9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6709805cb987a27e19d6c46eb760c143.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37ed916e3cc71375fd7de1bf135b4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6709805cb987a27e19d6c46eb760c143.png)
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10 . 在直角坐标系xOy中,直线l:
,以O为圆心的圆与直线l相切.将圆O向右平移一个单位得圆C,则圆C的标准方程为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8b65df31f3a52cfa9d434231182aa1.png)
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