名校
1 . 已知函数
的图象经过
,
,且
的最小值是
.
(1)求
的单调递减区间;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f0f53ce838871f4ba8fb56a945cf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4934f22907fdb7539b81908cdaaad32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ac2dfd3d9e8fa534775fd633ec0362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
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名校
解题方法
2 . 已知
为第二象限角,且
.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb4bfd4eed2da72d39ad96f9e07d74f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6d40b291aaf2b34c3f616bebfe7098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fee7e2969987222954a10a03d200c03.png)
您最近一年使用:0次
名校
解题方法
3 . 若定义在D上的函数
满足:对任意
,存在常数
,都有
成立,则称
是D上的有界函数,其中
称为函数
的上界,最小的M称为函数
的上确界.
(1)求函数
的上确界;
(2)已知函数
,
,证明:2为函数
的一个上界;
(3)已知函数
,
,若3为
的上界,求实数
的取值范围.
参考数据:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a920c2d27134a9c514f82bf464aed4ee.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066737c8b5ab483d0e853124de99429e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72bd2c5317e503a513881970a9badf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc03b242716eaa6ee3bef9061a63ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
您最近一年使用:0次
2024-04-30更新
|
218次组卷
|
5卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高一下学期期中考试数学试卷
4 . 某同学用五点法作函数
(
,
,
)在某一个周期内的图象时,列表并填入了部分数据,如下表:
(1)请将上表数据补充完整,并根据表格数据作出函数
的图象;
的图象向右平移
(
)个单位,得到
的图象,若
的图象关于
轴对称,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
0 | |||||
0 | 2 | 0 | 0 |
(1)请将上表数据补充完整,并根据表格数据作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e162d1739982517c1a337606c0e26573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2024-04-29更新
|
146次组卷
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2卷引用:江西省南昌市外国语学校2023-2024学年度高一下学期5月份月考数学试卷
名校
解题方法
5 . 已知
,且
是第三象限角.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fff368b9bd89fbd15c3490022e39d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41fa96d7c57ff7bf2560b2bd4f8069b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eddb8c7d8f7ed937624c0211877175.png)
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6 . 已知函数
的部分图象如图所示.
的解析式.
(2)当
时,关于
的方程
有两个不同的实根
,且
.
①求
的取值范围;
②求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0f153e044199055eec43c5226c5241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed07a76ec8ea66b7fdb8088098ca9ec.png)
您最近一年使用:0次
2024-04-26更新
|
263次组卷
|
3卷引用:江西省部分学校2023-2024学年高一下学期4月期中考试数学试题
江西省部分学校2023-2024学年高一下学期4月期中考试数学试题(已下线)高一下期末考前押题卷02-期末考点大串讲(人教B版2019)河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期6月月考数学试题
7 . 已知点
在角
的终边上,点
在角
的终边上,
.
(1)求
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e14bb4ae223d1c251c33daca9649824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4b30d216eb3970f44b8cd66e4a131e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9d1b5b76018dc94976d217e5fa97bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174dfd19dcca199699a46aea1102cce6.png)
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8 . 将函数
的图象上所有点的横坐标伸长为原来的3倍,再向左平移
个单位长度,得到函数
的图象.
(1)求
的值;
(2)当
时,求
的单调区间和最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34061f2c1e4ba7abcf52b0b8d5813cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b249f1728ab52a463aa8ea766bcb3fcb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df761fa4f63dffa98be64b740d885a1c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5acc6e622083eefa33d27b0931930c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
9 . 已知函数
(
,
,
),函数
和它的导函数
的图象如图所示.
的解析式;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8665842489bc1b588fa43d34730fd1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd96f7773d92c1706dc09b50d4b25e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f9118a785e2a7cd22a89019798ff0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19be062e4169a627153ad78c093c3af.png)
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名校
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f33062df5d816d6f8af194445c0189.png)
(1)若点
在角
的终边上,求
的值
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f33062df5d816d6f8af194445c0189.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20af7617b581d6b67d3d51709365681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbc7cada2f52172bde879638dbda0ff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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