解题方法
1 . 市场调查机构通过大数据统计发现:一棵某种水果树的产量
单位:百千克
与肥料费用
单位:百元
满足关系
,且投入的肥料费用不超过
百元
此外,还需要投入其他成本
如人工费等
百元
已知这种水果的市场售价为
元
千克
即
百元
百千克
,且市场需求始终供不应求
记该棵水果树获得的利润为
单位:百元
,则
有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d887187fab893eaa67e686519bbaec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285912b40e1dce8bfc029df88115c961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025e79c30cb8d4d3405e0794ffe0f5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129ea21d4a4afe7384c81b1a528f38bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a02fbe661b68fe17714ed85f3553fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.最小值![]() | B.最大值![]() |
C.最小值![]() | D.最大值![]() |
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解题方法
2 . 下列函数中,值域为
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-08更新
|
268次组卷
|
2卷引用:四川省达州市万源中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
3 . 设函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9cbf058aa59b932e7c20d849b03f15.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.存在正实数![]() ![]() ![]() |
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解题方法
4 . 设点
是奇函数
图象上的动点,且
时满足
.
(1)求
时,函数
的解析式;
(2)用定义法证明:函数
在
上单调递减;
(3)当
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e4b087d0a6826ffca410aae511350.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6d82d173ad18cc040e94c925b5ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用定义法证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e10140ab3cdc13d710a65b2287c892b.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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5 . 已知直线l过点
,且分别与x轴的负半轴、y轴的正半轴交于A,B两点,O为原点,则
面积最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d20bb7f5645b0e25643fb90e5cc8263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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6 . 函数
在
时有最大值为1,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec6eabb0cb75fed509e260bb8ce6e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3f1fa03aa091c875720035aa069e09.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
7 . 设正实数
满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc5b4357fd97fc6a2328953fe45a294.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
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2023-12-29更新
|
594次组卷
|
4卷引用:四川省内江市第六中学2023-2024学年高一上学期第二次月考数学试题
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8 . 高斯是德国著名的数学家,近代数学奠基者之一,享有“数学王子”的称号,他和阿基米德、牛顿并列为世界三大数学家,用其名字命名的“高斯函数”为:设
,用
表示不超过
的最大整数,则
称为高斯函数,例如:
,
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3821a8de1951d6fe6bcf05ed0fedb586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239da0d432f374cbd47bbcc3f120bc6a.png)
A.![]() ![]() |
B.不等式![]() ![]() |
C.当![]() ![]() ![]() |
D.方程![]() ![]() |
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2023-12-27更新
|
202次组卷
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2卷引用:四川省南充市高坪中学2023-2024学年高一上学期第二次月考数学试题
名校
9 . 已知指数函数
(
,且
)的图象过点
.
(1)求
的解析式:
(2)若函数
,且在区间
上有零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](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/a34024b83fb1efc86197c9473c8b2ff2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d780a088c5439f9367fd2d03f503fec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
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10 . 已知函数
,且正实数
满足
,则下列结论可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed16b135f0ba4cc19b69dac19b4765df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10484e8b98d515bac1e75f637c573d3.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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