1 . 已知定义域为
的函数
满足
,求出
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de19ea725d8a0906b281cf85ff9787d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830acb3d191d323e9ea6e710c7de0061.png)
A.0 | B.![]() | C.1 | D.2 |
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名校
解题方法
2 . 已知
,
,且
则以下正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28312c2e94955358bbab610d1399e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127e88c3aa14648770487a295909cf95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-14更新
|
397次组卷
|
2卷引用:浙江省永嘉县上塘中学2024届高三下学期模拟考试数学试题卷
名校
解题方法
3 . 已知非负实数
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba96e16bcc3638214266c1b4b0ffc77.png)
A.![]() | B.2 | C.![]() | D.![]() |
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2024-06-09更新
|
1593次组卷
|
3卷引用:浙江省温州市十校联合体2023-2024学年高二下学期期中联考数学试题
4 . 已知
的最小正周期为
,
(1)求
的值;
(2)若
在
上恰有
个极值点和
个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6860740e5b0ae41e1f74ddf51a10656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff2c63586f5ca0a0bec4ec2a3883b51.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0883a142ae4d2002e32e355520c0d1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2832f82fdeafa819c92ca5c1e74eb5ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-06-08更新
|
424次组卷
|
2卷引用:浙江省温州市十校联合体2023-2024学年高二下学期期中联考数学试题
5 . 当
且
时,
对一切
,
恒成立.学生小刚在研究对数运算时,发现有这么一个等式
,带着好奇,他进一步对
进行深入研究.
(1)若正数
,
满足
,当
时,求
的值;
(2)除整数对
,请再举出一个整数对
满足
;
(3)证明:当
时,只有一对正整数对
使得等式
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62d7d74585d13636e5c167a775cb227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f81a1bedc557556e614309feead266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(1)若正数
![](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/3703709b06e37fb0ed1e7b47f346eef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94174f37421d296a192b2df66c05f875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)除整数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
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2024-06-08更新
|
213次组卷
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2卷引用:温州人文高级中学2023-2024学年高一年级下学期5月月考数学试题
6 . 边长为2的立方体被一个平面所截,截得的截面图形面积最大值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知在三棱锥
中,
,点
为三棱锥
外接球上一点,则三棱锥
的体积最大为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ac434997573f3fde6a254760a978f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
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解题方法
8 . 不计容器壁厚度的有盖立方体容器的边长是1,向其中放入两个小球,则这两个小球的体积之和的最大值是_____ .
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9 . 已知抛物线
,则焦准距是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2633530c5ec2938687ba295a6379d9.png)
A.1 | B.2 | C.![]() | D.![]() |
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解题方法
10 . 在
中,内角
,
,
的对边分别为
,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9e67c8803ee2c6bdf9b127ee32cb48.png)
(1)若
,求
的值;
(2)若
,且
的面积为
,求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9e67c8803ee2c6bdf9b127ee32cb48.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad61e85db7c78a2731d1b8e0b38fc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8bbac0ebdc65c5d9e748e94f1da4dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99096bffafa03e667d5971b90d1532f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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