2024高一下·江苏·专题练习
1 . 已知三棱锥
中,
,若
均在半径为2的球面上,求
的范围_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbfda6b975851d9640242eb0dd1ecc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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解题方法
2 . 由扇形
和
组成的平面图形如图所示,已知
,
,
,
,点
在弧
(含端点)上运动.
,求
正弦值的取值范围;
(2)四边形
面积为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa16146cb21f11693feffb0876c0795b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ba1df94176a1f769c7a0a12bf357fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dcca60ba6144abbf47abd51d1f63f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d8b7bfeb5a4829b4db31e1d74a8c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90c780dac29ff8b7df5881d3b33abab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2460507a462453e084eaf70a7d867e9.png)
(2)四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3740e101f0d49f386901c49f55efbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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3 . 已知
的最大值为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345669a1b6a90a2169b26e80b74ffcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
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解题方法
4 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b5e4b36b4bacc7c887f9c32557a323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04dfb3821084fdcfe8c2efd3ea960cd4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知向量
,
.
(1)若
且
,求x的值;
(2)记
,
R.
①求
的单调增区间;
②若任意
,均满足
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca410f7a4ee908d2594a1aae9d38ea04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c530004c5bf440311037956c42a5429.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e241cc7a7d15fbd4d0c1e388b952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc581fcbeb240944abaf3d994937e55.png)
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解题方法
6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04299442116ccee57ae2e5411c9fcdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2024·全国·模拟预测
解题方法
7 . 已知
外接圆的半径为
,
为边
的中点,
,
为钝角,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663776dbb1c8a209b0c517144c31df29.png)
![](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/9ffbcd82b98a9ae69aa4ee28bb49a907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7df69e322441f3535135d1ecc963ba.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
为第一象限角,若函数
的最大值是2,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345669a1b6a90a2169b26e80b74ffcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a35d54a852b8f4105cbfe63e2266f37.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024·全国·模拟预测
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解题方法
9 . 已知
的内角
,
,
的对边分别为
,
,
,若
的面积为
,则
的最大值为( )
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67336ccd79b321083fa8821e524c7467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83bc226d5f1b84978b50a1446af6851.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-26更新
|
924次组卷
|
6卷引用:专题05解三角形压轴小题归类(2) -期末考点大串讲(苏教版(2019))
(已下线)专题05解三角形压轴小题归类(2) -期末考点大串讲(苏教版(2019))(已下线)第四章 三角恒等变换(单元测试,新题型)-同步精品课堂(北师大版2019必修第二册)(已下线)2024年普通高等学校招生全国统一考试数学理科押题卷(八)(已下线)2024年普通高等学校招生全国统一考试数学文科押题卷(七)(已下线)2024年普通高等学校招生全国统一考试数学押题卷(七)湖北省黄冈市浠水县第一中学2024届高三下学期第四次高考模拟数学试题
解题方法
10 . 设
.
(1)求
的值及
的单调递减区间;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b1defa3b89019e8a1c147c40c462ab.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555f0616b34dcf782fcf9a1c6b292a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a229b4d5a3d312006017275d9a8418d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008193a3859e8c8a42051c021125a837.png)
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