名校
解题方法
1 . 在△ABC中,角A,B,C的对边分别是a,b,c,且
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fc3570fb0b6bb12bc8c81aa5dd083a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e543bcb6c44950d54a9c726e36542b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c631f55f2b59c07c4654f1fd2590ec.png)
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2 . 已知三个实数
、
、
,其中
且
,则
的最大值为______ .
![](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/b0105cd0b15e052014d66913a02e333d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff263424cc626096b7339a284a579d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93de75982fcf1bea162d367c2ddbb613.png)
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3 . 若
,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3a0da7554c929ccff1a05dbe696f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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4 . 在半径为1的圆
中作内接正方形
,作正方形
的内切圆
,再作圆
的内接正方形
,依此方法一直继续下去.我们定义每作出一个正方形为一次操作,则至少经过( )次操作才能使所有正方形的面积之和超过
.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb2204c3e822887f98b7ab08bd24a36.png)
A.9 | B.10 | C.11 | D.12 |
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5 . 在锐角
中,
,
为
的垂心,
,则
的外接圆周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9541b233e419ab5877c5a8406288762b.png)
![](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/41cfeb35addf27f2379a8e5f87c9b952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 某地开展植树造林活动,拟测量某座山的高.勘探队员在山脚
测得山顶
的仰角为
,他沿着坡角为
的斜坡向上走了100米后到达
,在
处测得山顶
的仰角为
.设山高为
,若
在同一铅垂面,且在该铅垂面上
位于直线
的同侧,则
( )
![](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/29e0c2455a9e796bba6861503f0fe31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39148155ad52f0f34fccdcd3c40a99f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
|
455次组卷
|
3卷引用:重庆市巴蜀中学校2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
7 . 已知
,
,
,则下列结论正确的有( )
![](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/254aebe3ef7eabdf41e46c1cd857c705.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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名校
解题方法
8 . 已知
的内角
的对边分别为
,且满足
.
(1)求角
的大小;
(2)若
为锐角三角形且
,求
面积的取值范围.
![](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/a0d927c5817cf25e519432a63e1538c5.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd07e8a88a2413704e90721ab49315f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-06-18更新
|
571次组卷
|
3卷引用:重庆市巴蜀中学校2024届高三下学期模拟预测数学试卷
名校
解题方法
9 . 假设在某种细菌培养过程中,正常细菌每小时分裂1次(1个正常细菌分裂成2个正常细菌和1个非正常细菌),非正常细菌每小时分裂1次(1个非正常细菌分裂成2个非正常细菌).若1个正常细菌经过14小时的培养,则可分裂成的细菌的个数为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-18更新
|
531次组卷
|
4卷引用:重庆市重庆乌江新高考协作体2024届高三下学期模拟监测(三)数学试题
名校
解题方法
10 . 在
中,内角
所对的边分别为
,已知
,
.
(1)求
.
(2)若
为锐角三角形,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759e6d90078d6d79e68c55e39e118d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2129fc59f4fbcc28ac8ea3df9c550eac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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