名校
解题方法
1 . 在
中,角
、
、
的对边分别为
、
、
,若
.
(1)求证:
;
(2)若
,点
为边
上一点,
,
,求边长
.
![](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/5a2264c134952d41fb9bcb90e6c72c83.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8e5ce6c55a720a332a08c07f1a89a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6ecc541c317fbfdf313fb9406da47c.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/3b75c43085234bcb09fe494039e1c36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f927c0e469bae17b902f3b4df617610c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2023-05-27更新
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5卷引用:山东省新泰市第一中学东校2022-2023学年高一下学期第二次质量检测数学试题
山东省新泰市第一中学东校2022-2023学年高一下学期第二次质量检测数学试题山东省新泰市第一中学老校区(新泰中学)2024届高三上学期第三次大单元考试数学试题江苏省前黄中学、姜堰中学、如东中学、沭阳中学2023届高三下学期4月联考数学试题(已下线)专题突破卷13 解三角形的图形归类(含中线、角平分线、高)-2(已下线)第04讲 解三角形(八大题型)(讲义)-2
2 . 在数列
中,
,
.
(1)求证:数列
为等比数列,并求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad9d14999647e188c90a1adf6ac4e3e.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1cbdba005d5a2041870d638f5b4c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1179414a71459a3cfa134ace94302e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-04-07更新
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10卷引用:山东省菏泽市菏泽外国语学校2024届高三上学期第二次月考数学试题
山东省菏泽市菏泽外国语学校2024届高三上学期第二次月考数学试题湘豫名校联考2023届高三4月二模理科数学试题河南省周口市2023届高三下学期4月模拟理科数学试题湖南省长沙市第一中学2023届高三一模数学试题(已下线)数学(广东卷)(已下线)期末押题预测卷02(范围:高考全部内容)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)江西省赣州市兴国平川中学2022-2023学年高二下学期期中数学试题黑龙江省大庆市东风中学2023-2024学年高三上学期10月月考数学试题人教A版(2019) 选修第二册 数学奇书 第四章 数列 阶段测评(二)(4.3)(已下线)第08讲 第四章 数列 重点题型章末总结-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)
名校
解题方法
3 . (1)已知
,
,
,求证:
;
(2)已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f396c5ec8013468c9de9b2cd6f2f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de762a18e7b48d717a543b3ec9666136.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a0aa068c979c53361d049ce49987a8.png)
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2023-01-28更新
|
148次组卷
|
2卷引用:山东省淄博市桓台第一中学2023-2024学年高一上学期10月月考数学试卷
4 . 已知
,
.
(1)若
,求
的最大值;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4019baa5e05405fbfe3d7f52b30340c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff011f23cd2180d249e9630021d6f74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a518b474c2ce652d9e2ef013c666e1ac.png)
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2023-02-16更新
|
242次组卷
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3卷引用:山东省青岛市青岛第九中学2023-2024学年高一上学期10月月考数学试题
5 . 已知数列
和
满足
.
(1)证明:
和
都是等比数列;
(2)求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2858c0b4c46dce5ba00a07dfe4c118.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec12a9a60f82467bf7bf834a9a9b1f7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
名校
6 . 阅读材料:
(1)若
,且
,则有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7abc657962acfa3575f9ff333dc523.png)
(2)若
,则有
.
请依据以上材料解答问题:
已知a,b,c是三角形的三边,求证:
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d229cbec798c9c278a9b5979cb38247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7abc657962acfa3575f9ff333dc523.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2881261e83942d4b4e6bf92ea15efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e7456f61a8aff7614ca77f6210ba54.png)
请依据以上材料解答问题:
已知a,b,c是三角形的三边,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01721633154e61aa2650bf0b8b10e666.png)
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2023-06-10更新
|
712次组卷
|
11卷引用:山东省莱西市第一中学2023-2024学年高一上学期优质班月考统一测试数学试题
山东省莱西市第一中学2023-2024学年高一上学期优质班月考统一测试数学试题人教B版(2019) 必修第一册 北京名校同步练习册 第二章 等式与不等式 2.2不等式 2.2.1不等式及其性质(已下线)第1课时 课后 等式与不等式性质(完成)(已下线)第04讲 第二章 一元二次函数、方程和不等式章末重点题型大总结-【帮课堂】(已下线)3.1 不等式的基本性质(1)-【帮课堂】(苏教版2019必修第一册)(已下线)高一上学期第一次月考十五大题型归纳(拔尖篇)-举一反三系列(已下线)高一上学期期中复习【第二章 一元二次函数、方程和不等式】九大题型归纳(拔尖篇)-举一反三系列(已下线)第二章 一元二次函数、方程和不等式(章末测试B卷)-同步精品课堂(人教A版2019必修第一册)(已下线)第二章 一元二次函数、方程和不等式-单元速记·巧练(人教A版2019必修第一册)广东省揭阳市惠来县第一中学2023-2024学年高一上学期第一次月考数学试题(已下线)高一上学期期末复习【第二章 一元二次函数、方程和不等式】(拔尖篇)-举一反三系列
7 . 已知数列
中,
,
.
(1)求证:数列
是等差数列;
(2)求数列
的通项公式.
![](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/208cf2b9b66054e4b5e276198136a9ae.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
8 . 已知数列
满足
.
(1)求证:数列
是等差数列,并求数列
的通项公式;
(2)若__________,求数列
的前
项和
.
(在①
;②
;③
这三个条件中选择一个补充在第(2)问中,并对其求解)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15e26e8270f783aaa0aa4620c7ef9b.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若__________,求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4cecbdebeb5d12fbe1d54b81cc05a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b20224f6ba644d885435646a9b91b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e55d4e3e01f9e64c3bdf5f7cdb5258.png)
您最近一年使用:0次
2022-12-14更新
|
1014次组卷
|
5卷引用:山东省德州市第一中学2022-2023学年高二下学期6月月考数学试题
山东省德州市第一中学2022-2023学年高二下学期6月月考数学试题四川省成都市高新区2023届高三一诊模拟理科数学试题(已下线)高考新题型-数列(已下线)江苏省七市2022届高三下学期第二次调研考试数学试题变式题17-22(已下线)考点1 等差数列的定义与判断 2024届高考数学考点总动员
9 . 在四边形
中,
.
(1)证明:
;
(2)若
,
,
,
,求
外接圆的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e451517d9a2edd0846ac3aa9ad8fd96b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa75042a1b71b01f96b68f17aa5893a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
您最近一年使用:0次
2023-03-24更新
|
1204次组卷
|
2卷引用:山东省聊城市2023届高三下学期第一次模拟数学试题
名校
解题方法
10 . 已知等差数列
的前n项和为
,公差
,
,
,
成等差数列,
,
,
成等比数列.
(1)求
;
(2)记数列
的前n项和为
,
,证明数列
为等比数列,并求
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b119c7e2b0e74a776e47d030d09087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36742d677e73dc7929d519a605d89c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd08fe5d829c2f2fee4adc5957de3cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2023-03-24更新
|
1779次组卷
|
3卷引用:山东省青岛市2023届高三下学期第一次适应性检测数学试题