1 . 如图,已知函数
的图象与
轴相交于点
,图象的一个最高点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/a8d24677-c89b-4ddb-8e06-d340f0c2b83b.png?resizew=171)
(1)求
的解析式;
(2)将函数
的图象向左平移
个单位长度,得到函数
的图象,求函数
的所有零点之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d28168512b7c8c411771ded2ba85bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568cecf8919c19d368cca59427a139da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4497bd52b01846082b51f8dfd9737cb5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/a8d24677-c89b-4ddb-8e06-d340f0c2b83b.png?resizew=171)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae98e069a05f57b6178b7ac51a444d6a.png)
您最近一年使用:0次
2024-04-02更新
|
991次组卷
|
3卷引用:山西省部分学校2023-2024学年高一上学期期末数学试题
解题方法
2 . (1)已知为第二象限角,求
的值;
(2)化简:.
您最近一年使用:0次
3 . 已知定义在
上的函数
满足
,都有
且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9393fc75283aabe25e4730e4aa04cad.png)
(1)求
;
(2)证明:
为周期函数;
(3)判断并证明
在区间
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa9423766b5b9125f2e5bce3e5f9ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04614d0fac9cde995374a43d4323b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9393fc75283aabe25e4730e4aa04cad.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d85b9d0a99598bbdbaaf58e028fc4d.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)若
,且
为奇函数,求
的值;
(2)若
,且
的最小值为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f5025b91d541fef145182667d12c59.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d8d91ec08e861afb35a15e0339d3b0.png)
您最近一年使用:0次
解题方法
5 . 已知函数
满足
.
(1)求实数
的值;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a097fba1e5c4b29517de784157fe43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ea7c5c04e5aa49736b033c37cc5b1f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2bf7fa71fdba48b458fb38e58bb98.png)
您最近一年使用:0次
6 . 某大学科研小组自2023年元旦且开始监测某实验水域中绿球藻的生长面积的变化情况,并测得最初绿球藻的生长面积为
(单位:
),此后每隔一个月(每月月底)测量一次,一月底测得绿球藻的生长面积比最初多了
,二月底测得绿球藻的生长面积为
,科研小组成员发现该水域中绿球藻生长面积的增长越来越慢,绿球藻生长面积
(单位:
)与时间
(单位:月)的关系有两个函数模型可供选择,一个是
;另一个是
,记2023年元旦最初测量时间
的值为0.
(1)请你判断哪个函数模型更适合,说明理由,并求出该函数模型的解析式;
(2)该水域中绿球藻生长面积在几月底达到其最初的生长面积
的7倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303dd9dcc519133e7fde976018cc0b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45569bcc44c32adf1ed7e92f613d69e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3491cb34b252087d57cff384fcdd1bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ae54a7686d67033b92af17d47bb1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)请你判断哪个函数模型更适合,说明理由,并求出该函数模型的解析式;
(2)该水域中绿球藻生长面积在几月底达到其最初的生长面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
7 . 已知
,
.
(1)当
时,求
的最小值;
(2)当
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374286d99e3a59a5606853efb2c06ad8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62cd2a82636026979100c3facd172195.png)
您最近一年使用:0次
8 . 已知命题
.
(1)写出命题
的否定;
(2)判断命题
的真假,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab535cb68c6a03152976712ea5ccb1aa.png)
(1)写出命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)判断命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
名校
9 . 函数
的部分图象如图所示,该图象与
轴交于点
,与
轴交于点
为最高点,
的面积为
.
的解析式;
(2)若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b93c354c3ee6609e915a291391c4b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe05f3ef84f8ccff92ba03d9b9efb75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27efb0b5177ed50f61946149af0ee4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad3e2b2689dfe97ec82d473ab6cf469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290710d643ab6cd3b9edd73815b1d8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad821140d72e46733e1b38b3c3245ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc216e60b382b7c800512c2a00b73a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-02-24更新
|
739次组卷
|
4卷引用:山西省长治市上党好教育联盟2023-2024学年高一上学期1月期末数学试题
山西省长治市上党好教育联盟2023-2024学年高一上学期1月期末数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)江西省宜春市第九中学2023-2024学年度高一下学期第一次月考数学试卷辽宁省抚顺市第一中学2023-2024学年高一下学期4月月考数学试题
解题方法
10 . 已知
.
(1)若
为锐角,求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7a8310d859cd52083da5ac668b7d84.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e20537cedefc9002a00659c512ad089.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2570606fc4d1a286e6217e7a8988754.png)
您最近一年使用:0次