解题方法
1 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c256fbd9aa0f611c6524a9d4053341.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062844ed8f0949e6717bb6fd0b84fe46.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c727e4cdca97063b0b7daf038e8834.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)求不等式
的解集;
(2)若曲线
与直线
所围成的三角形的面积为96,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b763a629be49abfb5aafed3bd4bbdf9.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990d3feee85e869ea9ab561ff63d46a2.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-12-30更新
|
58次组卷
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2卷引用:华大新高考联盟2023-2024学年高三上学期11月教学质量测评理科数学试题
名校
解题方法
3 . 已知函数
.
(1)求
的最小值,并指出此时
的取值范围;
(2)证明:
等价于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512a30ae772c9ad858e0c1de041f7707.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2146ceef447fc62775f67a088a39a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ea38a20f3b5aca37b6192237252119.png)
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2023-12-27更新
|
196次组卷
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5卷引用:陕西省西安市部分学校2024届高三上学期12月联考数学(文)试题
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解题方法
4 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
的图象与
轴围成的三角形面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e2859288b663c4d041c907219ce317.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)若
![](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/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-20更新
|
134次组卷
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4卷引用:四川省绵阳市绵阳实验高级中学2024届高三上学期11月月考数学(文)试题
5 . 已知函数
.
(1)求不等式
的解集;
(2)若
的最小值为
,正数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fb5235d37e0ad856b799673ca16b71.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab989f85a681b41c29465d4be74b789f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb73613b4b0ee13745eda42db209164a.png)
您最近一年使用:0次
解题方法
6 . 已知
.
(1)求不等式
的解集;
(2)若不等式
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3480ec1f8b3e1c15d4479cc8ba05f5e.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1074e5765256f1c5224287fe634ca91.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2caf07fa806b930dbcd3ac6a95e5cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-20更新
|
166次组卷
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2卷引用:贵州省贵阳市五校2023届高三联合考试(四)数学(理)试题
名校
解题方法
7 . 已知关于
的不等式
有解.
(1)求实数
的取值范围;
(2)若
均为正数,
为
的最大值,且
.求证,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfe327e37e199e2c3815aae1a706252.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91beeecb519bfc3c9afbd86f0537e589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae622f238d45382a3a386ee1f83022.png)
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2023·四川成都·一模
名校
解题方法
8 . 已知
(
).
(1)当
时,求不等式
的解集;
(2)对于任意实数
,不等式
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e259fc7a535ed847113eb4e3c08147cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5508e4733e7e6c36712540deea036414.png)
(2)对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f3da051cccdd8841d00635a3ebdd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
9 . (1)求不等式
的解集;
(2)已知
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cccb29b6521cd2d60f626c4ff794000.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d05bf789a20dbfced92873a2198dfbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba5521cb5b3228fa9db1c5b64fb88ae.png)
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2023-12-15更新
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135次组卷
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2卷引用:全国卷2024届高三一轮复习联考(三)理科数学试卷
10 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff9ed96b94b6c8bad55e53db3667b0d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-15更新
|
55次组卷
|
2卷引用:陕西省安康市高新中学2023-2024学年高三上学期12月联考(全国乙卷)理科数学试题