名校
解题方法
1 . 设正n边形的边长为1,顶点依次为
,若存在点P满足
,且
,则n的最大值为__________ .(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252bab154aa5bdc9b4bce4c0d43aaf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470c98bbdfd975f85036bdd48e59d92e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e071a13edd9a57280b7aeeeac704dfdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56606e332e4578c9435fcccb4067260.png)
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2 . 已知
为平面四边形
内一点,数列
满足
,当
时,恒有
,
,
相交于点
,且
,设数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8dc608f22b14cbe72847e8aa8137d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4695ef2ef8930aa9e515db3efb3411e2.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/614306cc3f34bdee4d5d885b79667645.png)
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名校
解题方法
3 . 三国时期东吴的数学家赵爽为了证明勾股定理,绘制了一张勾股圆方图(也称赵爽弦图),弦图作为可分解的一种图模型在代数与几何,以及复杂统计量的分解和参数估计都有着极大的作用.现有一弦图,
为正方形,
,过
作
的垂线交
于点
,线段
上存在一点
,使得
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb36c896594edd0524b3c41d01a51fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e779e096e729dc6db535a4920c0eca00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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解题方法
4 . 设正八边形
的外接圆半径为
,圆心是点
,点
在边
上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8ec54efd8b9ee06bc283b48f53fff1.png)
____________ ;若
在线段
上,且
,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b4f891e309c6e73b889b18f5daa102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8ec54efd8b9ee06bc283b48f53fff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341f994255e5781272b12e631657d39c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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2023高三·全国·专题练习
解题方法
5 . 已知函数
.点A为函数
在
上的第一个最大值点.
为坐标原点,平面内的动点
满足
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ecea6dd791aef32dcd7c1f28465ecd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cd5049c22862bf0aad8d4f7b42e68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbf8990291f1a8dcd63b7a22eeddca6.png)
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名校
解题方法
6 . 某同学在查阅资料时,发现一个结论:已知O是
内的一点,且存在
,使得
,则
.请以此结论回答:已知在
中,
,
,O是
的外心,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6775bea8fabfdc16ca55ceb1e6f8ba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a9c6bcfb1f63e1e57cccbcfb07e885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844f65ab3bba2ca34cd53d84b148c277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdaf0d5ffc528a3cd85c79e3317c440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10072660396c4821badfd7311389e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a1e4e464e378f38aa3e9b56196bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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2023-05-19更新
|
1139次组卷
|
4卷引用:模块四 专题2 小题进阶提升练(4)(北师大版)
(已下线)模块四 专题2 小题进阶提升练(4)(北师大版)(已下线)第五篇 向量与几何 专题13 奔驰定理 微点1 奔驰定理(一)重庆市巴蜀中学校2022-2023学年高一下学期期中数学试题湖北省宜昌市部分省级示范高中2023-2024学年高一下学期期中考试数学试题
名校
解题方法
7 . 直线
与函数
的图象交于M,N(不与坐标原点O重合)两点,点A的坐标为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118b7f11e4d17f15765fce07b6fa70e9.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baea129ae991e466d85ab2e892b13b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fee0e4f79e30bbff8e4be338f6adec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118b7f11e4d17f15765fce07b6fa70e9.png)
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2023-05-11更新
|
180次组卷
|
3卷引用:北京高一专题05平面向量(第二部分)
名校
8 . 在
中,点O满足
,且AO所在直线交边BC于点D,有
,
,
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d884f5fa364ef1333de6b915adf76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8622a2f049ec3782bb8825cff0c311e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf182b6b529e49941299366a9f7eca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be40c200b2b6427acd4665cd37fafeb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d839445c01dc80102befeec1e4fa2250.png)
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2023-04-18更新
|
1314次组卷
|
3卷引用:第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)
(已下线)第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)湖南省湖湘教育三新探索协作体2022-2023学年高一下学期4月期中联考数学试题吉林市第一中学2024届高三高考适应性训练(二)数学试题
9 . 向量的线性运算
运 算 | 定义 | 法则 (或几何意义) | 运算律(性质) |
加 法 | 求两个向量和的运算 | 三角形法则 平行四边形法则 | 交换律: |
减 法 | 求两个向量差的运算 | ||
数 乘 | 求实数λ与向量 |
其方向:λ>0时,与 | 设λ,μ∈R,则 λ(μ (λ+μ) λ( |
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10 .
等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b4ae85a52c56485a4605c9c99ef126.png)
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