2024高三下·天津·专题练习
1 . 设函数
,若不等式
恒成立,则实数
的取值范围为 __ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7f6d89ad82ec6c51f00047a5f3864d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b1473b3ac4e00d5a4cf986cc36e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 设函数
,若
有四个实数根
,
,
,
,且
,则
的取值范围__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c644290b78dbdda8ec48b137f9c5880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961ccb40cc85faaed624b76eee6dad19.png)
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解题方法
3 . 已知函数
,若
在
上恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d34004a47aafb6fdfc0fc09ebdc1bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26dcaa25d16a500a5af7384ef2a8b1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-24更新
|
339次组卷
|
3卷引用:天津市部分区2023-2024学年高一上学期期末练习数学试题
解题方法
4 . 已知函数
,若关于
的方程
有4个不同的解,
,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4682de800665cf4d5f6f466d623bcdae.png)
__________ ,
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9177d2af51adfd0c902d9bd6991b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.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/4682de800665cf4d5f6f466d623bcdae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0cc9610b53a3bf4d2cdd05cab5168e.png)
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5 . 函数
,若关于
的方程
恰有三个实数根,则
的取值范围__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9380dece8321c54a9c128b6131d2c4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
6 . 已知
,若方程
有四个根
,且
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a50b8f9a0b68fe000ef8af0a323afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577ae7344fd256ae4c8034a4c5fc83fd.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/df653724815b19de87b07404dc4d6f44.png)
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2023-12-18更新
|
226次组卷
|
2卷引用:天津市耀华中学2023-2024学年高一上学期12月月考数学试题
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解题方法
7 . 已知函数
,则当函数值
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b5ff0415e5c7e6cab6b6b44c3425f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245e5c12f9f8d5b0741c72ec37c83f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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8 . 已知
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ffa29261b38b59bf5a3f097be0739f.png)
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
____________ ;
②若不等式
对任意
都成立,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ffa29261b38b59bf5a3f097be0739f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6355c5dca05c0d4c067ae56f03870b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
②若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63242cbe91c535b44563f118b5cf762e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d09b9fc9719ff6faf32254b9d48713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知函数
,若方程
至少有三个不同的实根,则实数a的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21661f358da3a8b3400f389a8d1571ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a170b0b2b8be8b25f9b882823fc0faf.png)
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解题方法
10 . 已知函数
,若函数
的值域是
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b373f3be2a8f212cfd72140478363b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8445755d83a8478bb4886cfa7bbbd684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-12更新
|
1052次组卷
|
3卷引用:天津市益中学校2023-2024学年高一上学期期中数学试题