解题方法
1 . 如图,在
中,
分别是边AB,AC上的点,
,且
,点
是线段DE的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080881113dcfedbb37be834669306a05.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab2284d326527ac5b6829c71a7b9e02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ba1954221a03cd62f691aaa6f798fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8908d9e34f06b6a3509a1d8e999d5ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080881113dcfedbb37be834669306a05.png)
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2 . 已知
中,
,
,若
为钝角三角形,则
的取值范围是 __________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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2024-01-18更新
|
840次组卷
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5卷引用:6.4.3 课时1 余弦定理同步题型分类归纳讲与练(人教A版2019必修第二册)
(已下线)6.4.3 课时1 余弦定理同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)上海市高一下开学考试卷-【寒假自学课】(沪教版2020)上海市普陀区长征中学2023-2024学年高一下学期3月月考数学试卷江苏省苏州园二2023-2024学年高一下学期3月月考数学试题(已下线)6.4.3.1 余弦定理——课后作业(巩固版)
3 . 已知锐角三角形
中,角A,B,C所对的边分别为a,b,c,
的面积为S,且
.若
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ae6908f9f7e57c2ff2814c6a917c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c3aa71e1b09565b926c08f07004f6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 在
中,角
,
,
所对的边分别为
,
,
,若
,且
,
,则
的值为_____________ .
![](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/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf623a808eaaef1acef2bd44d92d34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a39b97a7baed47e407a4850961e2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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5 . 若
是
的垂心,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dabbd52d840faacbfe353838c7c63a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f86b608c5fa3641aff877665a992f.png)
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6 . 已知抛物线
的焦点为
,直线
与抛物线
交于
两点,连接
并延长,交抛物线
于点
,若
中点的纵坐标为
,则当
最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307a282c4f08779b076cf6489f7aa336.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e84f9a75a4f57bbaa7c132a51cbe82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36719f1e764ee0e719b65c49fae84677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307a282c4f08779b076cf6489f7aa336.png)
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2023-10-31更新
|
678次组卷
|
5卷引用:第七节 抛物线 第二课时 直线与抛物线的位置关系 核心考点集训
(已下线)第七节 抛物线 第二课时 直线与抛物线的位置关系 核心考点集训(已下线)考点14 直线与圆锥曲线相交问题 2024届高考数学考点总动员(已下线)专题25 抛物线的几何性质5种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)河北省唐山市曹妃甸区曹妃甸新城实验学校(北京景山学校曹妃甸分校)2022-2023学年高二上学期期末数学试题(已下线)第07讲:圆锥曲线小题 (必刷9大考题+9大题型) -2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)
7 . 若
为钝角三角形,请写出三边a,b,c所满足的一个关系式______ (答案不唯一).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
8 .
分别为
内角
的对边.已知
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96edda2f2afe6bdc922346b8c995f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa6361e919ac07ee6ed642556e1d1ae.png)
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2023-10-12更新
|
868次组卷
|
5卷引用:专题11.1余弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)
(已下线)专题11.1余弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)辽宁省朝阳市名校联考2023-2024学年高三上学期开学数学试题辽宁省部分学校2023-2024学年高三上学期10月月考数学试题贵州省贵阳市清华中学2024届高三上学期10月月考数学试题(已下线)6.4.3.1 余弦定理——课堂例题
2023高三·全国·专题练习
解题方法
9 . 请你根据“奔驰定理”对以下命题进行判断:
①若P是
的重心,则有
;
②若
成立,则P是
的内心;
③若
,则
;
④若P是
的外心,
,
,则
;
⑤若
的内角A,B,C的对边分别为a,b,c,且
,O为
内的一点且为内心.若
,则
的最大值为
.
则正确的命题有________ .(填序号)
①若P是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112283f8778e6965ba37469d2574950d.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2812150f7554f579c71e8acb54144fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be52e6bd55e8718771caf848c2499ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6a5b077f3a91cb9a76b45862856811.png)
④若P是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbebb50a73ccfe63e4b0340f219ee94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdd1b09d3150744ff508b9fb62b962e.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5f33fd9ec988aaddd8f4c82f960c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954ac84d5a64358d2876a62f2a439b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
则正确的命题有
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/e4944368-97f7-4138-982a-e23f2a3b1169.png?resizew=175)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
10 . 从点出发的3条射线
,
,
,每两条射线的夹角是
,则直线
与平面
所成角的余弦是
您最近一年使用:0次