2024高三·上海·专题练习
解题方法
1 . 设函数
在
上有定义,实数
,
满足
.若
在区间
上不存在最小值,则称
在区间
上具有性质
.
(1)若函数
,且
在区间
上具有性质
时,求常数
的取值范围;
(2)已知
,且当
时,
,判别
在区间
上是否具有性质
,并说明理由;
(3)若对于
的任意实数
和
;函数
在区间
上具有性质
,且对于任意
,当
时,有:
,证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.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/1accdaf7d28bf884e8a044a8960190ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9635084c172726da8e140d6c9044a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337a23f9bf790be6e03b88fb2d03f18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630188a3505f47c8d2098c92475cf191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a31f7a8c150b3f4e720db0401fd5fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffbd6d46c75b7454cc1259ed8d818ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992d70084c8512958a36ac591e74f617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1accdaf7d28bf884e8a044a8960190ac.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/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b66875df124e8b7255feaea8e0c40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea1ba78ae2c541ac99bd30802e0e1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b67cac8abe9566def881056297caf0d.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
2 . 已知f(x)=求f(f(x))≥1的解集.
您最近一年使用:0次
3 . 已知函数
,
.
(1)求
和
的值;
(2)求
和
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304013b9b44519d615863d9308a1794.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5089d8222e7e71d789d5ba67f52cbdb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34636f0ba560e7730a217204a172e322.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df17d1b404651bf6dbc97b519d452e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3493c543f0eafc74f6a23e18869a6452.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7433393cb69d82b81f5bfbdcbebb7722.png)
.
(1)求
,
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7433393cb69d82b81f5bfbdcbebb7722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de624ef08ab0043a976aa9739a92c9c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fef7672c5d8d64d61cecb70bcf615e0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09808f4f06d743f9352ff6dbf983971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
.
(1)求函数
的最小值;
(2)若不等式
恒成立,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7338b1130d206a1c7cab012d9384dfbb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9140e2c2693eefd5aeb8f7bd53483ebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024高三·全国·专题练习
6 . 如图所示,四边形
是平行四边形,
,
,动直线
从
轴起向右平行移动,分别交平行四边形于不同的两点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/9/a7827fbb-b460-4be6-afdc-b139747c5c3e.png?resizew=329)
求
的面积
,并观察
最大值时
的位置特点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0456241ebb0e889d0fc83af4e3241208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4847d4220733d51e8a0282a49dd6c9da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4ea8632b4e4227131ba693deb10233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/9/a7827fbb-b460-4be6-afdc-b139747c5c3e.png?resizew=329)
求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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名校
解题方法
7 . 设函数
的定义域为
,若函数
满足条件:存在
,使
在
上的值域为
(其中
),则称
为区间
上的“
倍缩函数”.
(1)若存在
,使函数
为
上的“
倍缩函数”,求实数
的取值范围;
(2)给定常数
,以及关于
的函数
,是否存在实数
,使
为区间
上的“1倍缩函数”.若存在,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8af7bed124f00c8e19b52d028b4d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb3ba497136e83ffa942f09c14b5b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211dcbab91936df10848233146d2339a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a635f125bd16c1bea7009f4e5e402b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)给定常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a6e51f16456ca04a55f19fc5dcc368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f68d632ecfa559995f25fb9080b7ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)求
的值;
(2)若关于
的方程
有且仅有四个不相等的实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac8e3ef3d32ce77ede90dcc6aeeafa6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3430c3a2918cca413fb9c21f12bdeb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
9 . 2023年某企业计划引进新能源汽车生产设备,通过市场分析,全年需投入固定成本5000万元,每生产
(百辆),需另投入成本
(万元),且
,已知每辆车售价15万元,全年内生产的所有车辆都能售完.
(1)求2023年的利润
(万元)关于年产量
(百辆)的函数关系式;
(2)2023年产量为多少百辆时,企业所获利润最大?并求出最大利润.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f2660b56d5c5f47bfad5be6434eab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c8068711e5135d20d4f6453b06a679.png)
(1)求2023年的利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)2023年产量为多少百辆时,企业所获利润最大?并求出最大利润.
您最近一年使用:0次
2023-11-26更新
|
826次组卷
|
7卷引用:高一上学期期末数学模拟试卷(人教A版2019必修第一册全部)-【题型分类归纳】(人教A版2019必修第一册)
(已下线)高一上学期期末数学模拟试卷(人教A版2019必修第一册全部)-【题型分类归纳】(人教A版2019必修第一册)湖北省孝感市一般高中联考协作体2023-2024学年高一上学期期中联考数学试卷江西省宜春市高安市灰埠中学2023-2024学年高一上学期期中数学试题湖北省鄂西南三校2023-2024学年高一上学期12月联考数学试题安徽省淮北市实验高级中学2023~2024学年高一上学期第三次月考数学试卷广东省广州市科学城中学2023-2024学年高一上学期月考(二)数学试题河南省洛阳市宜阳县第一高级中学2023-2024学年高一清北园研学班上学期期末考试数学试卷
名校
解题方法
10 . 已知函数
.
(1)求
,
的值;
(2)利用描点法直接在所给坐标系中作出
的简图(不用列表).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae8c3f08cdad49d01d3e999a2ddfe5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc3f52cd9edf88e49e2409f050108d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
(2)利用描点法直接在所给坐标系中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/5dff9700-b668-459a-9f3d-4ea7c9edc1a7.png?resizew=215)
您最近一年使用:0次