1 . 已知函数
,令
,
,若
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b47d4c5d3ddd3ce7f949670d36f974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6fc51ae6ba348d0e4d3765a4818406e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6984d11b79b3b4222178dec44c0e4288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3bd164f5ace47e6c9fa4c2a4e7c4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59993bee84d6bb8666ae9a8cd433d51c.png)
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2 . 设等差数列
的前
项和为
,若对任意的
,均有
成立,则
的取值范围为______ .
![](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/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64dbe66298fa349657c719f4e5a4adb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fb3b69403fe5307601f073d8b271a5.png)
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名校
解题方法
3 . 在棱长为2的正方体
中,
在线段
上运动,直线
与平面
所成角的正弦值的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42b618e1cd0f3a7c27816d86fbe3907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
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解题方法
4 . 已知正项数列
的前n项和
满足
(n为正整数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
_________ ;记
,若函数
的值域为
,则实数k的取值范围是__________ .
![](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/b395a99c51ee3d33279d0650c245593e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2a0686fb74ed14df00e0efefc354d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfc381be76b874a795d81bb6c085116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
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5 . 焦点为
的椭圆
上有一点
,若线段
的中点落在
轴上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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解题方法
6 . 已知点A,B,C是离心率为
的双曲线
上的三点,直线
的斜率分别是
,点D,E,F分别是线段
的中点,
为坐标原点,直线
的斜率分别是
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcf744dceb18820e4a1ca354cb3cfe1.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d2b05d20e954445dd0f4b373830f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942e6dafcfcbf0682856b9f25178694d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942e6dafcfcbf0682856b9f25178694d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e8ebdbd58b757fc18d53f7a57348ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86305b0d0df92dc1706b8f0e335498c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13966d20d2ca1024038e532cba54865e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcf744dceb18820e4a1ca354cb3cfe1.png)
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解题方法
7 . 已知P为椭圆
上的点,F1,F2分别为C的左、右焦点,C的离心率为
,
的平分线交
于点Q,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f7f10c019d1f0a4b2c6b272d335bb0.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f7f10c019d1f0a4b2c6b272d335bb0.png)
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8 . 《孙子算经》中提到“物不知数”问题.如:被3除余2的正整数按照从小到大的顺序排成一列,即
,构成数列
,记数列
的前
项和为
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5202b1b4fededfea4c89719d9c280f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](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/9ce90681b67a4e78adfa85e605cd031d.png)
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2024-03-07更新
|
301次组卷
|
3卷引用:江西省南昌市聚仁高级中学2023-2024学年高二下学期第一次月考数学试题
名校
解题方法
9 . 若命题:“
,
”为假命题,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24ee7b9158b94bc5d0510c8e86c4c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-07更新
|
753次组卷
|
4卷引用:江西省宜丰中学2023-2024学年高二下学期4月期中考试数学试题
解题方法
10 . 从集合
中任取
个元素分别作为直线方程
中的
、
、
,所得的经过坐标原点的直线有______ 条
用数值表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cea595c5af967be9a103d33b8e51c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a08b6c1acd20777116ef6bb84a4b80.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/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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