名校
解题方法
1 . 已知
,
,求下列各式值.
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b3c3e0523d4e14c7b900e162641e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3744ee15af01a8e7c0f126edb5f68132.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc24d605ad707ad0e76059d8a31f50d3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab46e06bfa4bd3adabcd0f73fb1e268.png)
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名校
2 . 计算:
(1)
;
(2)
.
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53a183ec412e56789c5d5d286e8928f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7ef76f76ca158146b2dd6f52e3c48.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba253b0819deba389b2ffd216cd68c2c.png)
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名校
解题方法
3 . 函数
的零点个数是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1d4f0b88e78082d41e46e7dff99c49.png)
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4 .
中,内角
,
,
所对的边分别为
,
,
,
.
(1)求角
的大小;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c15dc77077c0f5068e99e609431bed.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3432471576213620a72129834aa59228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ac84ef7b18a6a9640dd295d902bde9.png)
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名校
解题方法
5 . 函数
的定义域是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0070fdef6a77bc6f50241f9cae4439.png)
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6 . 已知函数
的图象恒过定点
,若点
也在函数
的图象上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f164bbd73a93d4838bc45c2ed17b9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d778fbe959767840aa60f592bcb46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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7 . 已知数列
为等差数列,
是公比不为0的等比数列,
,
,
,
.
(1)求
,
;
(2)设
,求数列{cn}的前n项的和
;
(3)设
,求数列
的前n项的和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcbc75e8c78cca18f0b2b2456b3c829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb1c730e6a2e1554d89e7926dcf265d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c25b2bf64b1510221d7d31dadb0ede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2d4e66e401e664a1ebe121b1d77367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c340d7d093dd4a275ffea4b87cd26827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
8 . 如图,在直三棱柱
中,
,M为
中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/a7d07e55-43a0-473f-9d91-7e9b66b6289f.png?resizew=180)
(1)证明:平面
平面
;
(2)求直线
与平面
所成角的大小;
(3)点N在线段
上,点N到平面
的距离为2,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8cb98c0adee7ca698d8b17dacb845b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/a7d07e55-43a0-473f-9d91-7e9b66b6289f.png?resizew=180)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a2712f9cc643d4983d37c9dfe880ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adfc67f86e81cdd466230531ac658016.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
(3)点N在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
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解题方法
9 . △ABC中,AC = BC,∠BAC =
,D为BC中点,E为AB中点,M为线段CE上动点,
= 4,则| AC | = _____ ;
的最小值为 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45e3e48de0b1b7b74bc47b0cb440702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faddd124a41896f7fdfb76585453c33b.png)
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2023-12-18更新
|
743次组卷
|
6卷引用:天津市河东区求真高级中学2024届高三上学期12月月考数学试题
天津市河东区求真高级中学2024届高三上学期12月月考数学试题(已下线)6.3.5平面向量数量积的坐标表示【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题1.5 数量积的坐标运算-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)6.3.5 平面向量数量积的坐标表示11种常考题型归类(1)-高频考点通关与解题策略(人教A版2019必修第二册)2024届山西省平遥县第二中学校高三冲刺调研押题卷数学(三)(已下线)6.3.5 平面向量数量积的坐标表示——课后作业(基础版)
10 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98729b1e098809dd114383de1f23628c.png)
是函数
的一条对称轴,
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d576eae8c5903d9d35ccc50418a858c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98729b1e098809dd114383de1f23628c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664e6db61f2b80b3b9df86e3733790cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e331f22c3645ceb9a3413ece8acf4a.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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