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1 . 如图,在
中,点
为边
上靠近
点的三等分点,
,
.
,求三角形
的面积;
(2)当
最小时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bdcd23d2c26d9df0b4756d8a715673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746853ea6d76bd7cccc6bdd6c739aed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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2 . 已知随机变量的分布列为(下表):则下列说法正确的是( )
ξ | x | y |
P | y | x |
A.存在![]() ![]() | B.对任意![]() ![]() |
C.存在![]() ![]() | D.对任意![]() ![]() |
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3 . 已知函数
,若
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bc811b412f66008d69d5cf828ecc5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d384e50e0ec20bf2c2a691854bc3a5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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解题方法
4 . 等差数列
中,
为
的前n项和,
,若不等式
,对任意的
恒成立,则实数k的取值范围为_________ .
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9166f4cb7811b893e0a435118c2c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a651fd41462de3f9c6edbead15738580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
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2024-05-11更新
|
490次组卷
|
4卷引用:广东省华南师范大学附属中学2023-2024学年高二下学期期中考试数学试题
广东省华南师范大学附属中学2023-2024学年高二下学期期中考试数学试题广东省茂名市高州中学2023-2024学年高二下学期5月中旬模拟数学试题(已下线)专题1 数列的单调性与最值(范围)问题【讲】(高二期末压轴专项)山东省烟台市牟平区第一中学2023-2024学年高二下学期6月限时练(月考)数学试题
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解题方法
5 . 对于
中,有如下判断,其中正确的判断是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.点![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 已知
,
,且
,则
的最小值是______ ;当
取得最小值时,
的最小值是______ .
![](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/cd6d474e6cd19b54fcc32889975ceb9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af4669c96dd79a2e582f744fc1bc442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af4669c96dd79a2e582f744fc1bc442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a042f7647c4310c80f7ffe144c81c0e.png)
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解题方法
7 . 已知数列
满足
,数列
满足
.
(1)求数列
的前20项和
;
(2)求数列
的通项公式;
(3)数列
的前
项和为
,若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8452d8b8e480beafcf380e8538055148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aeafcfb6d93384e1b422969d1451a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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8 . 如图所示,在
中,点O是BC的中点,过点O的直线分别交直线AB、AC于不同的两点M、N,若
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328e8ec9120d4f382d63802421770a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a10a8252aaca38bed5ab3657e4c122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd93ee03569849295ebde055410d1b84.png)
A.5 | B.9 | C.![]() | D.![]() |
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2024-05-04更新
|
706次组卷
|
5卷引用:广东省广州市第八十九中学2023-2024学年高一下学期期中考试数学试卷
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9 . 在三棱锥
中,
平面
,
是等腰直角三角形,
,
,
,垂足为H,D为
的中点,则当
的面积最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f20744b52b3ead19a94d0d4a5ed835.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ceb48a731f5c08eda157147c4e82334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c768dedaea22607617398ce28a02dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f20744b52b3ead19a94d0d4a5ed835.png)
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2024-05-04更新
|
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2卷引用:广东省深圳市南头中学2023-2024学年高一下学期期中考试数学试卷
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解题方法
10 . 在
中,内角A,B,C所对的边分别为a,b,c,已知
,若
为
的面积,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eb8d72aa02ebcffa150d1689cbedf6.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/4e1a0f8877e8eba9d3681d1a81679587.png)
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2024-04-29更新
|
452次组卷
|
3卷引用:广东省茂名市高新中学2023-2024学年高一下学期期中测试数学试卷