名校
解题方法
1 . 记
的内角
的对边分别为
,若
,且
的面积为
.
(1)求角
;
(2)若
,求
的最小值.
![](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/b85bb05605d5773c1a81afd57adc0275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9ba21933a3ac9f13936183443e8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316699c45f1c088945d0cd3bb46eecfb.png)
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2024-04-18更新
|
1833次组卷
|
4卷引用:广西柳州高级中学2024届高三下学期5月适应性演练数学试卷
广西柳州高级中学2024届高三下学期5月适应性演练数学试卷江苏省扬州中学、盐城中学、淮阴中学、丹阳中学四校2023-2024学年高三下学期调研测试联考数学试卷河北省张家口市尚义县第一中学等校2024届高三下学期模拟演练数学试题(已下线)3.4 正弦定理和余弦定理(高考真题素材之十年高考)
名校
2 . 已知公比为2的等比数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b1592c4cb9e69e46b6f18e8e9d63c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
您最近一年使用:0次
2024-04-17更新
|
705次组卷
|
3卷引用:广西柳州高级中学2024届高三下学期5月适应性演练数学试卷
名校
解题方法
3 . 已知数列
满足:
,
.
(1)求数列
的通项公式;
(2)对任意
.将数列
中落入区间
内的项的个数记为
,求数列
的前m项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4c9bac05d2299ddeb2a702dc5d43f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5cf9c12181dd8683944b2b30bf8e08.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0df4a5aaca41fb8a04abfd8e2c6fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c320a0619c63a5b650a1a94c0a5679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e74be91bfe4bc209da7539dbf9b72c.png)
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2024-03-27更新
|
717次组卷
|
2卷引用:广西柳州市2024届高三第三次模拟考试数学试题
名校
解题方法
4 . 在
中,角A,B,C的对边分别为a,b,c,
,
的平分线交AC于点D,且
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7bce5b3862e12e5c7d206c35052471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715aa87456e207a91614c4c5853b7255.png)
您最近一年使用:0次
2024-03-27更新
|
737次组卷
|
2卷引用:广西柳州市2024届高三第三次模拟考试数学试题
名校
解题方法
5 . 已知P,A,B,C是半径为2的球面上四点,
为等边三角形且其面积为
,则三棱锥
体积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7cb903441d8e6b4448c3d5d7959d9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-27更新
|
804次组卷
|
2卷引用:广西柳州市2024届高三第三次模拟考试数学试题
名校
解题方法
6 . 若数列
满足
,其前
项和为
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b93bb2c66e49ac3efaf0686d4f3815.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/dc46683fb9762c6a01b7a1974b1add0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f86766725461125639f3c786bb77f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5d2c6282df9bd122ad3b2830cfb40c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-23更新
|
820次组卷
|
3卷引用:广西柳州高级中学2024届高三下学期5月适应性演练数学试卷
解题方法
7 . 设等比数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,求
.
![](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/dc82b8612fd19c9f6c8279d274c3b29b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61f856163cecd0dfa541fd24bb2a6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
8 . 已知数列
中,
.
(1)证明:数列
为等比数列,并求数列
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925f52e9e8f9143a737f9d9edfc72325.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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)
您最近一年使用:0次
2023-07-26更新
|
572次组卷
|
5卷引用:广西柳州市2023届新高三上学期摸底考试数学(文)试题
名校
解题方法
9 . 已知实数x,y满足
,若直线
经过该可行域,则实数k的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb004effb65bee81c110be9b936a1c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231896d2386c924306fce5ccf9f9e8a7.png)
A.-5 | B.-![]() | C.-![]() | D.-![]() |
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2023-04-17更新
|
318次组卷
|
2卷引用:广西柳州高级中学、南宁市第三中学2023届高三联考数学(文)试题
名校
10 . 若
,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad699365b381ff02826e9a4068014afb.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次