名校
解题方法
1 . 在平面直角坐标系中,点
满足方程
.
(1)求点
的轨迹
的方程;
(2)作曲线
关于
轴对称的曲线,记为
,在曲线
上任取一点
,过点
作曲线
的切线
,若切线
与曲线
交于
、
两点,过点
、
分别作曲线
的切线
、
,证明:
、
的交点必在曲线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a472119eb2957d6e3309b2adad14a9a3.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)作曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-08-06更新
|
457次组卷
|
7卷引用:2020届河北省衡水中学全国高三期末大联考文数试卷
2020届河北省衡水中学全国高三期末大联考文数试卷2020届高三2月第01期(考点08)(文科)-《新题速递·数学》广西南宁市第三中学2019-2020学年高三期末大联考文科数学试题(已下线)专题05 平面解析几何——2020年高考真题和模拟题文科数学分项汇编湖北省恩施州2022届高三上学期期末文科数学试题(已下线)专题18 押全国卷(文科)第21题 圆锥曲线(已下线)专题18 圆锥曲线高频压轴解答题(16大核心考点)(讲义)-1
2 . 若无穷数列
和无穷数列
满足:存在正常数A,使得对任意的
,均有
,则称数列
与
具有关系
.
(1)设无穷数列
和
均是等差数列,且
,
,问:数列
与
是否具有关系
?说明理由;
(2)设无穷数列
是首项为1,公比为
的等比数列,
,
,证明:数列
与
具有关系
,并求A的最小值;
(3)设无穷数列
是首项为1,公差为
的等差数列,无穷数列
是首项为2,公比为
的等比数列,试求数列
与
具有关系
的充要条件.
![](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/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd9630eef5312838c202cf054e9ee7e.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/27b6f8cb2faaad82b53b2a66ee817a37.png)
(1)设无穷数列
![](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/9260f8989cfd0ffca5a49ffbc0668f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e67d6abc5e1ab4c45046d1ee37e328.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/2387880727d458702651d699e76d7d76.png)
(2)设无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2525f733e43b3a4558b83f10f20425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.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/27b6f8cb2faaad82b53b2a66ee817a37.png)
(3)设无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d928d897331d22ce7a2d230ed7138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e116f14c30b56ba916164b2da784b4e.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/27b6f8cb2faaad82b53b2a66ee817a37.png)
您最近一年使用:0次
2020-08-04更新
|
717次组卷
|
4卷引用:江苏省南京师范大附中2020届高三下学期6月高考模拟(1)数学试题
江苏省南京师范大附中2020届高三下学期6月高考模拟(1)数学试题上海市青浦区2021届高三上学期一模(期终学业质量调研)数学试题上海市青浦区2021届高三上学期一模数学试题(已下线)上海高二下学期期末真题精选(压轴60题35个考点专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)
解题方法
3 . 如图,在平面直角坐标系xOy中,已知椭圆
的离心率为
,右准线的方程为
,A为椭圆C的左顶点,
、
分别为椭圆C的左,右焦点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/3d3647b2-b4ff-4336-9154-b6e399e2ae64.png?resizew=184)
(1)求椭圆C的标准方程;
(2)过点
作斜率为
的直线l交椭圆C于M,N两点(点M在点N的左侧),且
.若
,求t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/3d3647b2-b4ff-4336-9154-b6e399e2ae64.png?resizew=184)
(1)求椭圆C的标准方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b992637e995fc7613460d38267b816a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9700ce79eeb1fa4503dbf3c6cc36e79b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6e884a6299a50a89ef79d572a9f0d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282e56c0dfb14ebd97b83296ea57eb7d.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
为定义在
上的奇函数,且当
时,
取最大值为1.
(1)写出
的解析式.
(2)若
,
,求证
(ⅰ)
;
(ⅱ)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886d2d7da83c74826a757bffc10183a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195fc747e2fc50cb6df2c844d51e4d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc85a01f2a5b003d545aabd58658f430.png)
(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935d2dec00d5584f549d9135df57d4ff.png)
(ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89c48120fe5326e9b1c718d948816d0.png)
您最近一年使用:0次
名校
解题方法
5 . 新型冠状病毒是一种人传人,而且隐藏至深、不易被人们直觉发现危及人们生命的严重病毒.我们把与这种身带新型冠状病毒(称之为患者)有过密切接触的人群称为密切关联者.已知每位密切关联者通过核酸检测被确诊为阳性后的概率为
.一旦被确诊为阳性后即将其隔离.某位患者在隔离之前,每天有
位密切关联者与之接触(而这
个人不与其他患者接触),其中被感染的人数为
.
(1)求一天内被感染人数
的概率
的表达式和
的数学期望;
(2)该病毒在进入人体后有14天的潜伏期,在这14天内患者无任何症状,则为病毒传播的最佳时间.设每位患者在不知自己患病的情况下的第二天又与
位密切关联者接触.从某一名患者被带新型冠状病毒的第1天开始算起,第
天新增患者的数学期望记为
.
①当
,
,求
的值;
②试分析每位密切关联者佩戴口罩后与患者接触能否降低患病的概率,经大量临床数据验证佩戴口罩后被感染患病的概率
满足关系式
.当
取得最大值时,计算
所对应的
和
所对应的
值,然后根据计算结果说明佩戴口罩的必要性(取
).
(参考数据:
,
,
,
,
,
计算结果保留整数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c8578f06897aa6fb84aa95c797d3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8eadad8a8e5499833402309d9cba4fe.png)
(1)求一天内被感染人数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7713e92137d607d9a85d3333d8ddf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)该病毒在进入人体后有14天的潜伏期,在这14天内患者无任何症状,则为病毒传播的最佳时间.设每位患者在不知自己患病的情况下的第二天又与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b9f1a66ffe7d303510678a069a52b3.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6226b263d7eaae99b449dd56410e841f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f970f380a12c843bb4a74ff34a15b2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c2fb1c429eedede140ce3582effef1.png)
②试分析每位密切关联者佩戴口罩后与患者接触能否降低患病的概率,经大量临床数据验证佩戴口罩后被感染患病的概率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a886d45a46bdde67115c5911cb85ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82e57c5fa346d58e7c4fdbfea39f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a886d45a46bdde67115c5911cb85ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a886d45a46bdde67115c5911cb85ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a4303241972c4400ece8d34f0dde18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cb085178d2c970a15469d66b5d683d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6226b263d7eaae99b449dd56410e841f.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12a76edbb3e98e3ff41c03401769d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50101047632b94dcd5cf8035b093cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e36492ded42e594c63855802dee601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b3de587321151ba08b37be46802f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b268904aaa426d3741aab972a87082f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2228b549150de6c9b303bc010b8d3118.png)
您最近一年使用:0次
2020-07-29更新
|
4277次组卷
|
7卷引用:2020年全国普通高等学校统一招生考试试验检测卷1数学(理科)试题
2020年全国普通高等学校统一招生考试试验检测卷1数学(理科)试题江苏省如东中学、姜堰中学、沭阳中学三校2022届高三下学期4月阶段性测试数学试题(已下线)专题17 概率与统计的创新题型(已下线)专题11-2 概率与分布列大题归类-1(已下线)模块十 计数原理与统计概率-2(已下线)专题9-1 概率与统计及分布列归类(理)(讲+练)-2宁夏回族自治区银川一中2023-2024学年高二下学期期中考试数学试题
2020高三·全国·专题练习
解题方法
6 . 设
是偶函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6ac222096d0739acfff863a9d7d709.png)
(1)当
时,求
的解析式;
(2)设函数
在区间
上的最大值为
,试求
的表达式;
(3)若方程
有四个不同的实根,且它们成等差数列,试探求
与
满足的条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6ac222096d0739acfff863a9d7d709.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726c255e5f5ed80378bcbe5b9913a6ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 已知曲线
(其中
为自然对数的底数)在
处切线方程为
.
(Ⅰ)求
,
值;
(Ⅱ)证明:
存在唯一的极大值点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfce2dcb88bcfa39952c3e7b90c82bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef14a361ebcc3249076101e08a10d948.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e995178c3bd56701e6f9b2ee1240bff0.png)
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2020-07-25更新
|
1076次组卷
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4卷引用:四川省泸州市2020届高三(2017级)第四次诊断性考试(临考冲刺模拟)文科数学试题
四川省泸州市2020届高三(2017级)第四次诊断性考试(临考冲刺模拟)文科数学试题四川省泸州市2020届高三数学临考冲刺模拟试卷(文科)(四模)试题(已下线)黄金卷15-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(新高考专用)福建省上杭第一中学2023届高三(实验班)上学期暑期考试数学试题
名校
解题方法
8 . 已知
(
)
(1)若
对
恒成立,求实数a范围;
(2)求证:对
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ae3a06e2db61ce958f143eb7f7390b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(2)求证:对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5141a5b907f5ff11bbd7cacbd7b5db3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4d16e77a13cb72c849cac26c8ae54e.png)
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2020-07-25更新
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1083次组卷
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4卷引用:四川省成都市第七中学2020年普通高等学校招生统一热身考试文科数学试题
四川省成都市第七中学2020年普通高等学校招生统一热身考试文科数学试题四川省成都市第七中学2020届高三高考(7.2)热身考试文科数学试题(已下线)专题05 数列-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)四川省成都市树德中学2021-2022学年高三上学期11月阶段性测试(期中)数学(理)试题
9 . 对于数列
,若存在
,使得
对任意
都成立,则称数列
为“
折叠数列”.
(1)若
,
,判断数列
,
是否是“
折叠数列”,如果是,指出
的值;如果不是,请说明理由;
(2)若
,求所有的实数
,使得数列
是
折叠数列;
(3)给定常数
,是否存在数列
,使得对所有
,
都是
折叠数列,且
的各项中恰有
个不同的值,证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd64c414e36110bb64ea057df691c8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885764f5d34417779c5ea140caf406ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb654dbe976f077495105b21b7963d0f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2f3fd6047ad420a00b6eec9d9fba14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d95b1ab3687c42498426d2ad6a50ed9.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/bb654dbe976f077495105b21b7963d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6290fabfee064ca7296364c2011c16ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4815b8b7203fb465809b395153ea3340.png)
(3)给定常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ac03ac63e4635c0073f5a0f719392a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffb044f34d9f50fb6bc6067b598c951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbf39f278f6fcfbd30de4a1ad65e5bf.png)
您最近一年使用:0次
名校
10 . 若无穷数列
满足:
是正实数,当
时,
,则称
是“Y﹣数列”.
(Ⅰ)若
是“Y﹣数列”且
,写出
的所有可能值;
(Ⅱ)设
是“Y﹣数列”,证明:
是等差数列当且仅当
单调递减;
是等比数列当且仅当
单调递增;
(Ⅲ)若
是“Y﹣数列”且是周期数列(即存在正整数T,使得对任意正整数n,都有
),求集合
的元素个数的所有可能值的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c7aadf48a9b3405c2028d49a285c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(Ⅱ)设
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅲ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34e4ee11d8f0fa8efc2260f3c6cd795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015fdbdd05f9feda626db9c9ac066eb3.png)
您最近一年使用:0次
2020-07-25更新
|
890次组卷
|
5卷引用:2019届北京市中国人民大学附属中学高三考前热身练习数学(理)试题
2019届北京市中国人民大学附属中学高三考前热身练习数学(理)试题北京市人大附中2020届高三(6月份)高考数学考前热身试题(已下线)专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)(已下线)卷03-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)北京十一学校2022届高三10月月考数学试题