解题方法
1 . 已知
,
,且
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e744af0f65e797a35d976c20f2dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd71803df3c72c63ee5fe30661b1a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61e2e7cc4834161983649bfac47d872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f69b1edea06acefd1b2347de4f7721.png)
A.![]() ![]() | B.![]() ![]() | C.![]() | D.![]() |
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2 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39d4e199031b74357e9fbd723916fbc.png)
A.![]() |
B.![]() ![]() |
C.方程![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
3 . 在
中,
.
为边
上一点,
为边
上一点,
交
于
.
(1)若
,求
;
(2)若
,求
和
的面积之差.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb9a326aece050cf5e9f4713176bb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b210112e06c09e01255f901f22417500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4abf471da32c43bc2e56679a2038cac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c444af7a40000c15940578f9826ef99.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b0216fb4161cda4be672d5224cedfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f483a71f250bac98cb05d67dccad14.png)
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7日内更新
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2卷引用:河南省许昌市许昌高级中学2023-2024学年高一下学期6月月考数学试题
名校
4 . 在
中,内角
,
,
的对边分别为
,
,
,且
.
;
(2)如图1,
,
,求
;
(3)如图2,若
,
,在边
,
上分别取点
,
,将
沿直线
折叠,使顶点
正好落在边
上的
点处,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/6a4ad05db43e70b334844d5649539206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9999a4de597c8566007c1ed305c2d52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286a58a9ce6693c74143bf6f29597119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
(3)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a0e87bca5763555442ee85cc663bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3144c5c1990887702f97d05ebb7f607d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c8029d595ad6792877ce32532869e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
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解题方法
5 . 已知双曲线
的左、右焦点分别为
,
,过点
的直线与双曲线的左、右两支分别交于A,B两点,若
,
,则C的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5546ac9f1ee485e6d0829c9eec8c0afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfdc4b23cd18862260c341e7db9ff3a3.png)
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2卷引用:河南省许昌市魏都区许昌高级中学2024届高三下学期5月月考数学试题
名校
解题方法
6 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3817556b03e5a1dcbadd172595bdba1.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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2024-05-24更新
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2卷引用:河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期5月月考数学试题
20-21高一下·浙江·期末
名校
7 .
中,内角
,
,
的对边分别为
,
,
,
为
的面积,且
,
,下列选项正确的是( )
![](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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d556015a8e1a6214d8fd240e85b66cc7.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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17卷引用:河南省开封市河大附中实验学校2022-2023学年高一下学期第一次月考数学试题
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8 . 已知函数
.
(1)求
的单调递增区间;
(2)在锐角
中,角
所对的边分别为
,
,且
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc717cba02b8f09aa7c30231896fc34.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在锐角
![](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/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819e3abe5ba10dc15142a6a8a616ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
9 . 如图所示,直角三角形
所在平面垂直于平面
,一条直角边
在平面
内,另一条直角边
长为
且
,若平面
上存在点
,使得
的面积为
,则线段
长度的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a696fd7542cc0ede19b334a1afee584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
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8卷引用:河南省许昌市许昌高级中学2023-2024学年高一下学期6月月考数学试题
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名校
10 . 某公园计划改造一块四边形区域
铺设草坪,其中
百米,
百米,
,草坪内需要规划4条人行道
以及两条排水沟
、
,其中
分别为边
的中点.
,求
的余弦值;
(2)若
,求排水沟
的长;
(3)若
,试用
表示4条人行道的总长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0904a16358aab37c4042f40386d9d2d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2804e5b8e43f5c4622b96cc6dba646a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214ba5ccd88a4f80292b4db8f81ade28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7db164a3e15489a0de6ac0203e2cba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c4340dcffb0783d118a587e5352a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c4340dcffb0783d118a587e5352a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ce705d3a2fe04d29de9e81ec6250d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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