已知
为锐角,且
,函数
,数列
的首项
.
(1)求函数
的表达式;
(2)在
中,若
,求
的面积
(3)求数列
的前n项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337fe5a879a41e68506004ff9842c079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97791a2ac3e04951d54da9ff65a14721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75369db7afe5feec5c95e960136cbf3b.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/66c51440bbbfa3b3da95a013752dde06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
10-11高三下·福建莆田·阶段练习 查看更多[1]
(已下线)2011届福建省莆田十中高三5月月考调理科数学
更新时间:2016-11-30 21:26:35
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【推荐1】已知向量
.
(1)当
时,求
的值;
(2)求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369c4f9447d1e91e230612aec23e9944.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4a8be5ee2ca3308a1907992ee429d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3919d3025f2ac71c46f181218429.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a974f33d605b831e8bc157c0f03376fe.png)
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【推荐2】已知
.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0e180ef261881872e9b6cdcca762c0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff71982e152286c60e8e42540a7b003.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d63c534f2dbe6d6aff830c34c9e45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/affd7c37e46bb59b68fbcbff28925b99.png)
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【推荐1】在锐角△ABC中,
.
(1)求角A;
(2)若a
,当sinB+cos(
C)取得最大值时,求B和b.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8318e062219b1d1d086bcdd22b4d054.png)
(1)求角A;
(2)若a
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074609663cc1cfa6cf35a2ae9bfc1164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67255bca964aa78d1ada7cbddf3af6b8.png)
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【推荐2】已知
的内角A、B、C的对边分别为a、b、c,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/cdd71f44-6383-44a8-8343-15f289df1bb7.png?resizew=160)
(1)求A;
(2)设
的外接圆圆心为O,且
,
(
为定值).如图,ABP是以AB为半径,
为圆心角的扇形,点D为BC边上的动点,点E为AC边上的动点,满足DE与
相切,设
.
①当
,
时,求
;
②在点D、E的运动过程中,
的值是否为定值?若是,请求出这个定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bd9bc390da208a7060e0af041ec993.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/cdd71f44-6383-44a8-8343-15f289df1bb7.png?resizew=160)
(1)求A;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4339b5df11afcaf68ffe767d676d7baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397d7ead5898d28dec6a178b26eba964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29c05f6a46fa397b8aacecf2cc15e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224efa375375f1ac848b0c15ee51aebd.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96144368b1b5ca55648a797580f022e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8176754726d2194c890e80df1a1f1c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e940847add09ef9f2624fb5dc7471c6e.png)
②在点D、E的运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27850a724406c7dcf5a7c8c0dbbd9730.png)
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【推荐1】如图,四边形
中,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/19/11ee3fb7-cd05-4b33-821f-47b59aa4744b.png?resizew=179)
(1)求
的面积;
(2)求线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78002bca853929365a3f58082f3e7637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3827709157c7e1028027ce8062b2d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2efb46714efa6a13a121e2a7f89412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff9d0cc3cd2561c9d97b29edc09f197.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/19/11ee3fb7-cd05-4b33-821f-47b59aa4744b.png?resizew=179)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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【推荐2】如图,在
中,内角
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,
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作
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于点
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.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/6a1bea4a-8487-40d1-8376-4215a9a83d79.png?resizew=164)
(1)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a38fcce7dd0dee12192a18eee9f9cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09e506e86ae053b922b8c0838b1497f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/6a1bea4a-8487-40d1-8376-4215a9a83d79.png?resizew=164)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐3】2022年3月23日15时44分,“天宫课堂”第二课在中国空间站开讲,“太空教师”翟志刚,王亚平、叶光富相互配合,生动演示了太空“冰雪”实验,液桥演示实验,水油分离实验,太空抛物实验等.他们在传播普及空间科学知识的同时,激发了广大青少年不断追寻“科学梦”,实现“航天梦”的热情,背后更是体现了我国航天技术的突飞猛进,空间站并非一直处于我们头顶上方的位置,有时候会运行到地球的另一面,如果直接进行地面与空间站对话,信号就会被地球阻挡,不被接收,所以实际信号传输是通过地球卫星信号转发的.如图1,天链一号01星,02星,03星(分别记为点A,B,C)分布在赤道上空,距地球(记为点O)
公里的同一圆形轨道上,且分别位于轨道的东经77度,东经177度,东经17度(如图2),随时实现空间站与地面信号的五通,保证通话更加流畅、及时,画面也更加清晰.
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(1)计算天链一号01星与03星之间的弓形(图2阴影部分)面积(单位:
平方公里);
(2)若再向该轨道发射一颗卫星(记为D),为使四颗卫星组成的四边形面积最大,确定D的经度(直接写出,不需要说明理由),并计算四边形面积(单位;
平方公里)的最大值.(参考数据
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49583d011e2659e257df471a2992bea1.png)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988587756716032/2989920378060800/STEM/8b50febc-f965-46fe-9f83-a4fef1565e99.png?resizew=442)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988587756716032/2989920378060800/STEM/aee39add91454ff3ab77f1c42876f0c2.png?resizew=322)
(1)计算天链一号01星与03星之间的弓形(图2阴影部分)面积(单位:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39da87e952dd43db7a7a1ed39e2710ab.png)
(2)若再向该轨道发射一颗卫星(记为D),为使四颗卫星组成的四边形面积最大,确定D的经度(直接写出,不需要说明理由),并计算四边形面积(单位;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39da87e952dd43db7a7a1ed39e2710ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b68051c70472db3037cd559d7395d58.png)
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【推荐1】设数列
的前
项和为
,且满足
,
是公差不为
的等差数列,
,
是
与
的等比中项.
(1)求数列
和
的通项公式;
(2)对任意的正整数
,设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d55e820be87da4fc494cee7ffbd7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8578ad77f9f7fb2159f6a6e53bf2ff68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cc408e32508f8faafbb8042c6fbefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2575e3d4686de9720ed34942818ba80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5894ed1f1641a511005398971c26496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1d35e26208ddd8c34dde988fc18018.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
(2)对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ff28931342d899de3a117c743e526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733969643c55ec0ddfddd781a6545778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da2db7e09d2b1dbfbcd02574dae25ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bac6cc423e8e4bbb68f3d8e8db5917.png)
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【推荐2】已知数列
的前n项和为
,
,且
.
(1)求数列
的通项公式;
(2)设数列
满足
,设数列
的前n项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642e798608dc8e2d34948aec80798b5c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3f9217e45e027e2ccc76de518cc828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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