1 . 已知向量
,
的夹角为120°,且
,
,
,
.
(1)若
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d802b9f36eb619c03e760202dd4260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1ce9f5e83bab208ab51b97e73249d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a013b5eea081d7594c526981030e0db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1219557cd23cd45fddd57dc48018b5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e5ba67828c57daf2edb497fb52e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c033efa57f621462adb624dbbd889669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-05-02更新
|
527次组卷
|
2卷引用:江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题
2 . 已知
.
(1)若角
的终边经过点
,
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49687f29a616816d7deada82b8f719f8.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce618b81d2be1083f6457cc6f284a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f280aa9106f8983fa107da81a2ce1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7333a5b564bcb7c0b78f1949d1e305c.png)
您最近一年使用:0次
2023-05-02更新
|
541次组卷
|
2卷引用:江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题
3 . 已知变换
:先纵坐标不变,横坐标伸长为原来的2倍,再向左平移
个单位长度;变换
:先向左平移
个单位长度,再纵坐标不变,横坐标伸长为原来的2倍.请从
,
两种变换中选择一种变换,将函数
的图象变换得到函数
的图象,并求解下列问题.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/8796d9ab-4ab3-45f2-8f23-8f80ec1c42ce.png?resizew=344)
(1)求
的解析式,并用五点法画出函数
在一个周期内的闭区间
上的图象;
(2)求函数
的单调递减区间,并求
的最大值以及对应
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575bf90ff130fbf9a4c3622a08d9edca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/8796d9ab-4ab3-45f2-8f23-8f80ec1c42ce.png?resizew=344)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead725b2b126cc8d5f0cf059175a4ee5.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2023-05-02更新
|
403次组卷
|
3卷引用:江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题
解题方法
4 . 如图,在
中,
为重心,
,延长
交
于点
,设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/4112c372-ae46-428d-8267-f57a32506cb1.png?resizew=150)
(1)若
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ee8005e80314dd3863644c8546ae78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/4112c372-ae46-428d-8267-f57a32506cb1.png?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0461fd7c9b171ee47f468c574c31642c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f1d0b5e4a6ebf4405b98a21a1ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-05-02更新
|
641次组卷
|
4卷引用:江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题
江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题江西省南昌市等5地2022-2023学年高一下学期期中数学试题(已下线)第03讲 平面向量基本定理及坐标表示-【寒假预科讲义】(人教A版2019必修第一册)(已下线)第六章 平面向量及其应用(知识归纳+题型突破)1-单元速记·巧练(人教A版2019必修第二册)
名校
解题方法
5 . 已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/bdd03e54-04d4-4176-b51a-543efcfd8e22.png?resizew=171)
(1)求
的解析式;
(2)将函数
图象的横坐标变为原来的3倍,纵坐标不变,再向左平移
个单位长度,得到函数
的图象,若
在区间
上无零点,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140a1479291e1c6b60b32347054860dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/bdd03e54-04d4-4176-b51a-543efcfd8e22.png?resizew=171)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b9854d85aa5a6030329e8b04b1200f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe386ad25a4c1cce633ed4e129127047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-04-26更新
|
503次组卷
|
3卷引用:江西省部分学校2022-2023学年高一下学期4月期中联考数学试题
名校
解题方法
6 . 已知函数
.
(1)求
的最小正周期;
(2)若
,求函数
的值域和单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f7226665e5492f6c8e55f5514d4a76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778662c16848db470c6537705b8a839c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2023-04-25更新
|
435次组卷
|
2卷引用:江西省赣州市大余中学2022-2023学年高一下学期期中考试数学试题
名校
解题方法
7 . 如图,在平行四边形
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/7bdc819a-47a5-4579-91e1-edfe0cecb867.png?resizew=150)
(1)若
,求
的值;
(2)若
,
,求边
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d41769e5b0593292ded612c401572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f93eb8467ec408b7def036a40283004.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/7bdc819a-47a5-4579-91e1-edfe0cecb867.png?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6c052cd7a79455c3df58e1273ec574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ef5ee7f82e149ca734fc1548b03450.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd1d71d5b784194a6594ff29d48a1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d19fec73d4515cd9a2d4c0a727a09a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2023-04-21更新
|
1035次组卷
|
6卷引用:江西省宜春市樟树市清江中学2022-2023学年高一下学期5月期中考试数学试题
江西省宜春市樟树市清江中学2022-2023学年高一下学期5月期中考试数学试题江苏省南京市江浦高级中学等3校2022-2023学年高一下学期3月月考数学试题(已下线)河北省石家庄市精英中学2022-2023学年高一下学期第一次月考数学试题(已下线)人教A版(2019)必修第二册全册(高一下学期期末测试A卷:平面向量、复数、立体几何、概率统计)山东省新泰市第一中学(老校区)2022-2023学年高一下学期第二次阶段性考试数学试题山西省朔州市怀仁市第一中学校、大地学校高中部2023-2024学年高二上学期第一次月考数学试题
名校
解题方法
8 . 如图,点
分别是正方形
的边
、
上两点,
,
,记点
为
的外心.
,
,
,求
的值;
(2)若
,求
的取值范围;
(3)若
,若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3507599c740c4c7f486cd19ee39fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fca387f03e4b2fdb0c64a79b6a0605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cebec80e8dcce975425a46c728c26b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3ede869e508a8c8bda34a16782f863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42206793edde00d2d43cd07adf78366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72bf0fce80daad394f2a9d013829c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e91eeb57e4fc87e26efb7d371f6f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1655e1de5516f9764871df59c0469dd.png)
您最近一年使用:0次
2023-04-21更新
|
1412次组卷
|
9卷引用:江西省宜春市高安市灰埠中学2022-2023学年高一下学期5月期中考试数学试题
江西省宜春市高安市灰埠中学2022-2023学年高一下学期5月期中考试数学试题浙江省浙北G2联盟2022-2023学年高一下学期4月期中联考数学试题(已下线)第6章 平面向量初步-【优化数学】单元测试能力卷(人教B版2019)(已下线)结业测试卷(范围:第六、七、八章)(提高篇)-【寒假预科讲义】(人教A版2019必修第二册)(已下线)专题6.12 平面向量及其应用全章综合测试卷(提高篇)-举一反三系列(已下线)第6章 平面向量及其应用 单元综合检测(难点)-《重难点题型·高分突破》(人教A版2019必修第二册)江苏省苏州市张家港市沙洲中学2023-2024学年高一下学期3月阶段性测试数学试题(已下线)第一次月考解答题压轴题十六大题型专练(1)-举一反三系列(人教A版2019必修第二册)(已下线)FHgkyldyjsx06
名校
解题方法
9 . 已知函数
.
(1)求函数
的最小正周期;
(2)在
中,若
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7354e103c5f9cba5540c045a3e6d2778.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae27a92e1d1a5f250637f058d25edf02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb6180af0cfcdf8d6b7baeb8e5c8d366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bcb0cf5182f70cf5f2737b709b4a9c.png)
您最近一年使用:0次
名校
解题方法
10 . 如图,扇形钢板
的半径为
,圆心角为
,现要从中截取一块四边形钢板
,其中顶点
在扇形
的弧
上,
分别在半径
上,且
.
,试用
表示截取的四边形钢板的面积
,并指出
的取值范围;
(2)求当
为何值时,截取的四边形钢板
的面积最大,并求出最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161ea3eaa2e28747507c1c0e4a7b39f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607543bb9f55b8a141ed2d6cf0e1a20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161ea3eaa2e28747507c1c0e4a7b39f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b00c9499415c5801c64a8177f4b35e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444d8047f326acf49dd7537c1fd4b567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7c875f27e04c44e01240ef360a7430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7e00f8bacce4d649b535449f04568c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c32177de03f8413f85d4a16ff647f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607543bb9f55b8a141ed2d6cf0e1a20b.png)
您最近一年使用:0次