名校
解题方法
1 . 若
是边长为2的等边三角形,
所在平面有一点C满足
,且
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b40a6293ed9e33001e2919379b168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d4397027495788c6d45c633f5be865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa462ba48511c46a67b425aafa75c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d621e8830787e1bd68f38843ad7bf3f9.png)
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2 . 已知函数
的定义域为
,对于任意实数
均满足
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11566d997986b66d6c05e0206ead57e.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc86b6c345d52fcee1abfc9da735805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765d6fea26d8e02b91525cfb02914058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11566d997986b66d6c05e0206ead57e.png)
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3 . 在数列
的首项为
,且满足
,设数列
的前
项和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bab423942f5e4d37c150ccfaf9f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
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4 . 在三棱锥
中,
平面
,
是等腰直角三角形,
,
,
,垂足为H,D为
的中点,则当
的面积最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f20744b52b3ead19a94d0d4a5ed835.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ceb48a731f5c08eda157147c4e82334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c768dedaea22607617398ce28a02dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f20744b52b3ead19a94d0d4a5ed835.png)
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名校
解题方法
5 . 已知函数
在区间
上单调递增,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26302123b56854983ab7fe4dfef9a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 在
中,角
,
,
所对的边分别为
,
,
,
,若
表示
的面积,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0309081c62e1d4dc8547ba6b4254c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a454a2c91ace8ef50412a6adf91f8086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86279407f407a070f7925563127305e9.png)
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四川省眉山市仁寿第一中学校南校区2023-2024学年高一下学期4月期中考试数学试题江苏省泰州中学2023-2024学年高一下学期期中考试数学试题(已下线)高一 模块3 专题1 第1套 小题入门夯实练【北师大版】第27题 解三角形基于边角转化,几何向量解析锦上添花(优质好题一题多解)
名校
解题方法
7 . 如图,四边形
的顶点都在圆
上,且
经过圆
的圆心,若圆
的半径为
,
,四边形
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7dc603317eb90974c75efec9f02b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
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解题方法
8 . 现有四种不同的颜色要对如图形中的五个部分进行着色,其中任意有公共边的两块着不同颜色,则一共有_________ 种着色方法.
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9 . 已知函数
,存在
,使得
成立,则实数a的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a066218e23eefb48adf4b3fd5517bc69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d73737a417d3f380754cf91eb2638d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133cb4bfa780967fce1ef6181f2cf545.png)
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解题方法
10 . 在
中,角
,
,
所对的边分别为
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4968f8333303d6522f964edf5080e54a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/7803b1550b58f0e92451fdb787a9acb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4968f8333303d6522f964edf5080e54a.png)
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