解题方法
1 . 已知函数
,那么当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,函数
取得最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5028ba29977e61127aac486ce99287e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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解题方法
2 . 已知
,
,
,
都为正数,且
,
,则
的最大值为______ ;此时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbb69422c8d10572072ebf922aaedb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
3 . 已知
,函数
.若
是奇函数但不是偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ ;若
对一切实数x都成立,则a的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ea471b4f6682519e1627f3ac3eb5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
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4 . 已知正实数
满足
,则
的最小值为_______ ;
的最小值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cf79ee4258211f6bd14ac299eeadae.png)
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2021-06-20更新
|
684次组卷
|
5卷引用:浙江省2021届高三6月份高考数学仿真模拟试题(5)
浙江省2021届高三6月份高考数学仿真模拟试题(5)(已下线)考向04 基本不等式及应用(重点)(已下线)考点29 基本不等式-备战2022年高考数学(理)一轮复习考点帮(已下线)考点28 基本不等式-备战2022年高考数学(文)一轮复习考点帮广东省惠州市惠阳中山中学2021-2022学年高一上学期期中质量检测数学试题
解题方法
5 . 已知向量
,
满足|
|=1,|
|=1,则|
+
|+|
﹣
|的最小值是_____ ,最大值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
6 . 当
达到最小值时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
____ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe83beb8266106f84ed99009d85eacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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7 . 已知
为等差数列,
为其前
项和.若
,
,则公差
_____ ;
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51c55e7bfb89ad0113afaf43834438c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcf7a9495359d1beedf9a6a1f07e7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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8 . 已知函数
的部分图象如图所示,则该函数的解析式为______ ;该函数的单调递增区间为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d21a63b20d0881772413c41bbaf884.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/7627bd13-9596-4a0c-9d27-401084dbd816.png?resizew=152)
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9 . 方程
的解集是________ ;不等式
的解集是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3470c6a7cf8cbd2da626cdbe20da3b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03da4c3053af31dad96edbfb63f3d8b.png)
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解题方法
10 . 设函数
则
的值为______ ;若
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755d0e6b1cf6a409fbb88fee4fb96207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afeede1e920a57feb40fc0cd66b961a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ef038bc829d75bc2bd2dc5903716a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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