1 . 已知数列
.求:
(1)数列
的通项公式;
(2)数列
的前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e74aa761097b101c69f387653598a1.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](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)
您最近一年使用:0次
2024-04-13更新
|
996次组卷
|
3卷引用:山东省菏泽外国语学校2024届高三数学模拟检测卷(四)
名校
解题方法
2 . 帕德近似是法国数学家亨利
帕德发明的用有理多项式近似特定函数的方法.给定两个正整数
,
,函数
在
处的
阶帕德近似定义为:
,且满足:
,
,
,
,
,注:
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
已知函数
.
(1)求函数
在
处的
阶帕德近似
,并求
的近似数
精确到![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e2a6b3944261bb5b2e0244d05af639.png)
(2)在(1)的条件下:
①求证:
;
②若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16563cfb206d0394cac2a0c2595dda6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcb8c6a69df1a0deaba265e204d5f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047a8c1ed551fccee1c1848746c5f282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72029562177dfc99a171c9013eb90227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4573475f70860a3d99b92a329d0d07f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca214aa6276b96d67a451c3fdbc59b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba6d8d56270fc72edd1af793542c036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030c5fc27fb5c07e4d6c913653af07ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f8f07548edb2d114804fbfca1eee55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35dd621776dee688a0175a1abe39c258.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35dd621776dee688a0175a1abe39c258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40765d09390381658d5b4dc0160366cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5c1ae8ac7a70fcab9a5daca65ccd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e2a6b3944261bb5b2e0244d05af639.png)
(2)在(1)的条件下:
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec667cb20a6d670c47adfca4e4f5dd5.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad7d4b49b53e6d1aae16e515cf0975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-04-13更新
|
1075次组卷
|
7卷引用:山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题
山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题(已下线)模块3 第8套 全真模拟篇安徽省黄山市2024届高中毕业班第二次质量检测数学试题重庆市万州第二高级中学2023-2024学年高二下学期期中质量监测数学试题(已下线)专题12 帕德逼近与不等式证明【练】天津市武清区杨村第一中学2024届高考数学热身训练卷河北省秦皇岛市部分示范高中2024届高三下学期三模数学试卷
名校
解题方法
3 . 已知
为抛物线
上的动点,
为圆
上的动点,若
的最小值为
.
的值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)若动点
在
轴上方,过
作圆
的两条切线分别交抛物线
于另外两点
,
,且满足
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32be681ecfdd5463567671d1ee034d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb5a2650c9029c8352b073eeeff2c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d87446c9ef0230285d9b08127fce5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9563540452712a60d70f76cf22a868c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/a5b0bec6e780130fbed900fdb153555d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2024-04-13更新
|
723次组卷
|
4卷引用:山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题
名校
4 . 学校食堂为了减少排队时间,从开学第
天起,每餐只推出即点即取的米饭套餐和面食套餐.某同学每天中午都会在食堂提供的两种套餐中选择一种套餐,若他前
天选择了米饭套餐,则第
天选择米饭套餐的概率为
;若他前
天选择了面食套餐,则第
天选择米饭套餐的概率为
.已知他开学第
天中午选择米饭套餐的概率为
.
(1)求该同学开学第
天中午选择米饭套餐的概率;
(2)记该同学开学第
天中午选择米饭套餐的概率为
证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求该同学开学第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(2)记该同学开学第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445f165254323f929f21d3a270c4eb53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472fefe699c4efa8c0af312c16ea0811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b024509a31ff4217b12701c328dbd5b1.png)
您最近一年使用:0次
2024-04-13更新
|
2346次组卷
|
4卷引用:山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题
山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题安徽省黄山市2024届高中毕业班第二次质量检测数学试题(已下线)7.1.2 全概率公式——课后作业(巩固版)重庆市万州第二高级中学2023-2024学年高二下学期期中质量监测数学试题
名校
5 . 已知三棱柱
中,底面
是边长为2的正三角形,
为
的重心,
.
;
(2)已知
,
平面
,且
平面
.
①求证:
;
②求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e827641feb4179bca7033ed8760bf728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26208e5d58cc5abf1af936480d1932b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c67e20ce068f373fe1cc3b4811b58b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962ddfa6a45e5588279c2a93f142924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae737bd4c7f31bdc93155459a48d8457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d862fc2fe541999e0c175d32e90a81ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d95f4efa734e4ac9f4ff5f4569f7cf.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
您最近一年使用:0次
2024-04-13更新
|
1575次组卷
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2卷引用:山东省菏泽第一中学三校区联考2024届高三下学期5月月考数学试题
6 . 已知点
和向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ee15f9bec0b0007c405385a69a45fa.png)
(1)若向量
与向量
同向,且
,求点
的坐标;
(2)若向量
与向量
的夹角是钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9b4081755dd5d63529f95fab4ca51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ee15f9bec0b0007c405385a69a45fa.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfcaa682bd35146c55bef5c2c5bb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f49f461d57d35cebe267f62f2c5ec1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-04-12更新
|
216次组卷
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2卷引用:山东省菏泽市菏泽外国语学校2023-2024学年高一下学期第一次月考数学试题
7 . 在
中,已知
,
,
,
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0334bc85843337c4dfcfdc5c638f9f62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
您最近一年使用:0次
8 . 已知
,
,
与
的夹角为
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684c16e648e1b76fc54ef176f82bf7fc.png)
您最近一年使用:0次
9 . 已知曲线
.
(1)求曲线在点
处的切线方程;
(2)求曲线过点
的的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9ea47c701b03aa4562d2da1517abab.png)
(1)求曲线在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
(2)求曲线过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
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10 . 求下列函数的导数.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56ec2258720b77cd82dc6510acc563b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f099bcfb5ad7f22881c1e32312ac63.png)
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