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1 . 若函数
在区间
内单调递减,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f9f7b123468f4a54bcbd84ede28b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b083b39ea2310d95a73a946c1b4ec541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2 . 1748年,瑞士数学家欧拉发现了复指数函数和三角函数的关系,并写出以下公式
,这个公式在复变论中占有非常重要的地位,被举为“数学中的天桥”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f220f2da6664c3080fc2c7fe1396c0b.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487478268357f22ce0f9c746cf5ce185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f220f2da6664c3080fc2c7fe1396c0b.png)
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解题方法
3 . 已知椭圆
的左、右焦点分别为
,上顶点为
,过
作
的垂线,与
轴交于点
,若
,则椭圆
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52150b7f88090338fa9816544f75cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-04-23更新
|
283次组卷
|
2卷引用:陕西省西安市部分学校2024届高三下学期高考模拟检测文科数学试卷
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4 . 已知数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89a10d95109e8545aad12854a46dcdb.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396b3adc9330ae3d561df65c27be9d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc6bdd50386adcfd80fdb1bb832ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89a10d95109e8545aad12854a46dcdb.png)
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5 . 已知某物体的位移
(单位:米)与时间
(单位:秒)之间的关系可用函数
表示,则该物体在
秒时的瞬时速度为__________ 米/秒.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e2edc51c7a0f2a1f269d318ad04322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
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2024-04-22更新
|
220次组卷
|
4卷引用:陕西省西安市部分学校2024年高二下学期3月月考数学试题
陕西省西安市部分学校2024年高二下学期3月月考数学试题陕西省西安市长安区第三中学2023-2024学年高二下学期3月月考数学试卷山东省大联考2023-2024学年高二下学期3月质量检测联合调考数学试题(已下线)模块五 专题1 全真基础模拟(北师大版本高二期中)
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6 . 已知等差数列
和
的前n项和分别为
和
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b604b8a42b0476f42406252c11eea5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/984371b404863c4fda29a5f2ddc2318b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b604b8a42b0476f42406252c11eea5.png)
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解题方法
7 . 当
时,不等式
恒成立,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95842ad442c7f6d5ec4b32939b929e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2380f2daf2ad77fb1f3a0723936766f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知点
,
分别为双曲线
的左、右焦点,以
为直径的圆在第一象限与双曲线的右支交于点
,与双曲线的渐近线
交于点
,直线
与
轴交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35181c83d5549aa2498d3075f6e7504.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/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac89d45e79b10741d93a9443c70adde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c97815c8de1639e8ea76bf5037a2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35181c83d5549aa2498d3075f6e7504.png)
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9 . 已知
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8d78d4df192ffd84e689d79058e218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
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10 . 已知函数
,给出下列结论:
①
的最小正周期为
;
②
是
的最大值;
③把函数
的图象向左平移
个单位长度,可以得到
的图象.
其中所有正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a11b0f312fc2fe92dbe8277fbdd4620.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
其中所有正确结论的序号为
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