1 . 已知点
是抛物线
上不同的两点,
为抛物线的焦点,且满足
,弦
的中点
到直线
的距离记为
,若不等式
恒成立,则
的取值范围( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94165c5047e68e952df7a8dc6dc32fda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1183df9f26985febdc844cda75ed4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2162f0382af01a2e09ec8aec8dc4194d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8748198c0bd36f6e122b21d61d37bf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf313a0ed173c6a4e1b7ff371f9ae84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-02-08更新
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515次组卷
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2卷引用:江苏省南京市六校联合体2023-2024学年高三上学期10月联合调研数学试题
名校
解题方法
2 . 在①
②
③
这三个条件中任选一个,补充在下面的横线上,并解答问题,已知△ABC的内角A、B、C所对的边分别为a,b,c满足___________.
(1)求角B的大小;
(2)若
,求△ABC面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b66a578491318228332f942196cb4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e2aaba6b91ba3bcd7387cd9098cfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e917dfaef1abab9ac842e4f3fc3a4eb2.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b52f3707bd5936aea8ecfa7e1d4e034.png)
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解题方法
3 . 在
中,角A,B,C的对边分别为a,b,c,已知
,
,
.
(1)求证:
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f67700a8a3d1438d9a249a9e30c0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0499f3c390ad21ba9a7a6a97afc6ac78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014a82692e31ac1980b50100c919254c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8abff30fc308565d3a23dd2739e5c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
的内角
所对的边分别为
,且满足
.
(1)求角B的大小;
(2)若
,设
的面积为S,满足
,求b的值.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d1a873d9f7431784e63ec2577a27e0.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ef98941134ffeefa7c8c349e399d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1c561f7eaa436b21b39c67ade61f0f.png)
您最近一年使用:0次
2023-02-04更新
|
1678次组卷
|
11卷引用:江苏省南京市秦淮中学2023届高三下学期检测一数学试题
江苏省南京市秦淮中学2023届高三下学期检测一数学试题河南省洛阳市栾川县第一高级中学2022-2023学年高三下学期入学测试数学试题山东省济南市历城第二中学2023-2024学年学年高三上学期开学摸底考试检测数学试题贵州省铜仁市松桃民族中学2022-2023学年高二下学期第一次月考数学试题河南省安阳市第一中学2022-2023学年高一下学期6月月考数学试题(已下线)第02讲 正弦定理和余弦定理12种常见考法归类(2)吉林省四平市第三高级中学2022-2023学年高一下学期6月月考数学试题河南省安阳市林州市第一中学2022-2023学年高一下学期期末数学试题山东省东营市第一中学2022-2023学年高一下学期6月月考数学试题福建省漳州市第三中学2023-2024学年高二上学期第三次月考数学试题(已下线)6.4.3.2 正弦定理——课后作业(提升版)
名校
解题方法
5 . 已知a,b,c分别是
三个内角A,B,C的对边,
面积为S,且
.
(1)求A;
(2)若a=2,且角A的角平分线交BC于点D,AD=
,求b.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dc2d85009920632c6fc1951e4a51c0.png)
(1)求A;
(2)若a=2,且角A的角平分线交BC于点D,AD=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
2023-02-04更新
|
958次组卷
|
2卷引用:江苏省南京师范大学附属中学江宁分校等2校2022-2023学年高三上学期期末联考数学试题
6 . 如图C是圆台母线AB的中点,BD是底面的直径,上底面半径为1,下底面半径为2,AB=2,点M是弧BD的中点,则C、M两点在圆台侧面上连线长最小值的平方等于______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/c37c2df3-3377-46c7-8aa7-0428ec9eb972.png?resizew=149)
您最近一年使用:0次
2023-01-15更新
|
541次组卷
|
8卷引用:江苏省南京市六校2023-2024学年高三上学期8月联考数学试题
名校
7 . 如图,
为
内的一点,
记为
,
记为
,且
,
在
中的对边分别记为m,n,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/5bbe1058-9925-49e0-bef3-d44129c6ddea.png?resizew=189)
(1)求
;
(2)若
,
,
,记
,求线段
的长和
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48771358b76e240743bb49c497ef7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9cc98e6df306063e645044f0faa7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55bc63494a124146555d7536107e8338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806ffcae10e430d00f3c7ecb109d459.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/5bbe1058-9925-49e0-bef3-d44129c6ddea.png?resizew=189)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a0367c3fe3c5c5dfefec87f641bbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9641d01140939c44450bf39773272af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36db0c43d5ff2d582bd4afa31d20b2d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-01-12更新
|
2835次组卷
|
4卷引用:江苏省南京市第九中学2023-2024学年高三上学期8月学情检测数学试题
名校
8 . 在中,已知
,
,
.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7e75d7342e6f087370d09181b17a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2023-01-06更新
|
982次组卷
|
11卷引用:江苏省南京市第十二中学2022-2023学年高三下学期三月月考数学试题
江苏省南京市第十二中学2022-2023学年高三下学期三月月考数学试题福建省泉州市2022届高三8月份质检数学试题(一)甘肃省酒泉市瓜州县第一中学2024届高三上学期期末数学试题沪教版(2020) 必修第二册 同步跟踪练习 第6章 6.3.2余弦定理(已下线)11.1 余弦定理河南省开封市扬坤高级中学2022-2023学年高一下学期期中数学试题(已下线)11.1 余弦定理(分层练习)-2022-2023学年高一数学同步精品课堂(苏教版2019必修第二册)第九章 解三角形(A卷·基础通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教B版2019必修第四册)(已下线)专题训练:解三角形大题综合-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)广西玉林市第十一中学2022-2023学年高一下学期3月月考数学试题新疆喀什市喀什大学附属中学2023-2024学年高一下学期3月月考数学试题
23-24高三上·湖南永州·阶段练习
名校
9 . 已知在
中,
,点
在边
上且满足
.
(1)若
的面积为
,求
的值;
(2)若
,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32220fd969663f42cd619f8cc8b355c.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/525c01552d5015eb73009fd40826a000.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1deed8bcca78eb2faf85c96c23db388.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
您最近一年使用:0次
2023-01-05更新
|
774次组卷
|
3卷引用:江苏省南京市第十三中学2022-2023学年高三上学期期末数学试题
江苏省南京市第十三中学2022-2023学年高三上学期期末数学试题(已下线)湖南省永州市第一中学2022-2023学年高三上学期元月月考数学试题四川省成都市第二十中学校2022-2023学年高三上学期一诊模拟考试(二)数学试题
解题方法
10 . 记
的内角
,
,
的对边分别为
,
,
,分别以
,
,
为直径的三个圆的面积依次为
,
,
.已知
.
(1)若
,求
的面积;
(2)若
的面积为
,求
周长的最小值.
![](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/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/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aecfae19cd24cd48689bcab2410fd06d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3578b63c5903089595bf324c809a997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次