名校
1 . 设
,
.
(1)若x,y均为锐角且
,求z的取值范围;
(2)若
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018fc39fe3a5feee51a08ee8c58483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebed1b93046c28dd4ce381df0ca441f.png)
(1)若x,y均为锐角且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3085600fba3d8ce8403ddc8b44996f88.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7204495706847fd4c8abc55e89c9a35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598caae9102ce0b49bdd2ea12189562d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca80d80b6e1577762585b69145736b.png)
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2024-06-13更新
|
49次组卷
|
3卷引用:三角函数-综合测试卷B卷
真题
解题方法
2 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f077febaaf6965783215bbf7076dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-13更新
|
8110次组卷
|
5卷引用:2024年高考数学真题完全解读(新高考Ⅰ卷)
(已下线)2024年高考数学真题完全解读(新高考Ⅰ卷)专题04三角函数与解三角形(已下线)2024年新课标全国Ⅰ卷数学真题变式题1-5(已下线)三角函数-综合测试卷A卷2024年新课标全国Ⅰ卷数学真题
名校
3 . 已知函数
,任取
,定义集合
,点
满足
. 设
分别表示集合
中元素的最大值和最小值,记
,试解答 以下问题:
(1)若函数
,则
___ ;
(2)若函数
,则
的最小正周期为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c31ba2787bc36c28c1a3a54e93432cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752cdf76ae4ff6439f513e8bdf3f60cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9723d753c0d5df723a4308a79e5a876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79410ed94f30c4da60838abfa1f01f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2b282da990e7bd3f05d4026ef5e394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3215494dccf60336e9f7740d19fcbc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f26d721b107f8b2bc88f3eb0f42c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be7b58c2b38144b1891d4840b8047cd.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c64ab61f03db328b8860ff20c6b9b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8798ef183db1c22522f2edefd9ba7930.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c90a21879ef3ff035d9790b24c0a535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0999d7e1264bf85be74b29cd9e34db.png)
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解题方法
4 . 若
, 则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca7532b296f7c2bfb2ec2bf9ead4d0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a080cab44a7d3605430d67b207f9be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d572725624b4bec509e78295279a5f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
您最近一年使用:0次
名校
6 . 已知向量
,
,则正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52d99fff1fcab88160122d064f899ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc8237b355d3621d9151b2270708605.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
7 . 如图,点
是
重心,
、
分别是边
、
上的动点,且
、
、
三点共线.
,将
用
、
、
表示;
(2)设
,
,问:
是否是定值?若是,求出该定值;若不是,请说明理由;
(3)在(2)的条件下,记
与
的面积分别为
、
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3488f90ce6ca9c1d0d8d8a8168e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b9dda541ca792577227f3014ddc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4731335d26e45bf7041b36c5f0a1121d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d098ac2229ff7bb4ee0848f768c53896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b6987d9d311905b9dd7aeaddab745d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a093d690c27c7e19a52264511d6f87.png)
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名校
解题方法
8 . 向量
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa27c09a5c955e423743bda656d0b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a709794d7ff5e38e5d8d465abca1c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-07更新
|
335次组卷
|
8卷引用:第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)
(已下线)第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3向量数量积的坐标运算-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3 向量数量积的坐标运算-【帮课堂】(人教B版2019必修第三册)(已下线)专题03 平面向量的9种常考题型归类(2) -《期末真题分类汇编》(北师大版(2019))北京市延庆区2023-2024学年高一上学期期末考试数学试卷天津外国语大学附属河北外国语中学2023-2024学年高一下学期第一次月考数学试题北京市房山区北京师范大学燕化附属中学2023-2024学年高一下学期期中质量检测数学试题福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷
名校
解题方法
9 .
,
,
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787379f7ff8d24be7eebfea1cfe956d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4b25dacf6fc2fcd1167ca53f63d4ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 若某次乒乓球练习中,乒乓球发球后先后击中已方桌面
和对方桌面
,且
长为60英寸,球在
中点
处到达最高点,高度为
英寸,乒乓球网位于
上靠近
的三等分点
处,网高为6英寸,球恰好沿着网的上边界越过,其轨迹图象如下:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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