名校
解题方法
1 . 函数
,
(
),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74185b55a2d0a5c51e0379e19d57d083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
A.![]() ![]() | B.不等式![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
2 . 定义
上的函数
为奇函数,
为偶函数,
.
(1)求函数
、
的解析式;
(2)判断并证明
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b80b15253f09ce97f511267aab7ee5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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2023-12-15更新
|
479次组卷
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2卷引用:重庆市巴蜀中学校2023-2024学年高一上学期期中考试数学试题
名校
解题方法
3 . 已知函数
是定义在
上的奇函数,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733b65d6c53f97ec82aace63f45f9203.png)
(1)求实数
和
的值;
(2)判断函数
在
上的单调性,并证明你的结论;
(3)若
,都有
,求实数
的取值范围,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09651e8cca1aac12ac73b2e89495124d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733b65d6c53f97ec82aace63f45f9203.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43ceb80630415cf8260df5f1be3fa7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009ce1b47288502bf3fe41cc3d3276f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知定义在
上的函数
满足:①对任意的
,都有
;②当且仅当
时,
成立.
(1)求
;
(2)判断并证明
的单调性;
(3)若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29ef32d9bc2e32ef2b8639b57dc9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad814089e37543b2f547af9ae75b6dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ea309559c1a4c3c886629f33498b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
5 . 已知函数
是定义在
上的奇函数,且
.
(1)确定函数
的解析式,并说明其在
的单调性(不需要证明);
(2)解关于
的不等式
;
(3)若对任意的
,都有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8717af5b57ca8eb3402b17118fec7a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b758437e26f0de5598e93c8f87c6ac.png)
(1)确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedf3e83ee4f2597f991a7971423bbc4.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332db6e089eeca07baf64fe231b29fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a49058742deb3dcd42d6cdb2e47f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-12-15更新
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200次组卷
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2卷引用:重庆市合川区北新巴蜀中学校2023-2024学年高一上学期期中数学复习题 (1)
解题方法
6 . 若函数
是定义在
上的偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4ab5ed446cb4d85ee8f9e93e0985e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6a95aa1edea7e33f465e5cdff8ac8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 某高科技产品投人市场,已知该产品的成本为每件1000元,现通过灵活售价的方式了解市场,通过多日的市场销售数据统计可得,某店单日的销售额与日产量
(件)有关.当
时,单日销售额为
(千元);当
时,单日销售额为
(千元);当
时,单日销售额为21(千元).
(1)求
的值,并求该产品日销售利润
(千元)关于日产量
(件)的函数解析式;(销售利润
销售额
成本)
(2)当日产量
为何值时,日销售利润最大?并求出这个最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00879cffccc124857ca755a8c345e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c2ed32a03bd7976cb938c5383a70547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a975e12aece7e8ff4682e7a8e695f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9676e38dad3c7c03dd441a40d20ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb595535eaefe630a624adc02b713fa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
(2)当日产量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2023-12-14更新
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113次组卷
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2卷引用:重庆市部分学校2023-2024学年高一上学期期中数学试题
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8 . 求值
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497c945c31c0c95f7b028d327a28c0db.png)
(2)已知
,
,用
,
表示
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497c945c31c0c95f7b028d327a28c0db.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfaa8a91d2eeb07b5382bf95c58eed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdc05e3b2eaada5b022e2bce4fb179f.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/01b85eef7d29cc12c4844e4b2b304a38.png)
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9 . 化简求值
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4514d2f272843d9eecf8d8a7ce4bc2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d45ecd2e8d0276a5c5966257b5431b.png)
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932次组卷
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2卷引用:重庆市2023—2024学年高一上学期期中七校联考数学试题
名校
解题方法
10 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fda77464e66d72c956e9d5acd25412.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:重庆市西南大学附属中学校2023-2024学年高一上学期定时检测(二)数学试题