名校
1 . 已知
,
,…,
(n为正整数)是直线
上的n个不同的点,设
,当且仅当
时,恒有
(i和j都是不大于n的正整数,且
),
.有下列命题:
①数列
是等差数列;
②
;
③点P在直线l上;
④若
是等差数列,P点坐标为
.
其中正确的命题有___________ .(填写所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042f6277c98e108cab95992342e4bfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09490514476657414d8991d633c9d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c5b2ecf3d4a067272790f360b5d05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47de6409d3ff5da9560329819eba385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9080a7449480ea117e133abce07db351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8db49d097b26af86f50bd45d4601a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614dff0cb877d00d301584ccb5dbccda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7575f3f157337fa0a1eb565ad49a33.png)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496df17ad7e5c372200aa5cdcf2e093f.png)
③点P在直线l上;
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dc4024dd556d444a0668ebcbbe328b.png)
其中正确的命题有
您最近一年使用:0次
2022-01-21更新
|
886次组卷
|
3卷引用:上海市复兴高级中学2021-2022学年高二上学期期末数学试题
上海市复兴高级中学2021-2022学年高二上学期期末数学试题(已下线)一轮复习适应训练卷(3)-2022年暑假高二升高三数学一轮复习适应训练卷(全国通用)上海市松江二中2021-2022学年高二下学期期末数学试题
名校
2 . 已知数列
为严格递增数列,且对任意
,都有
且
.若
对任意
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8385599f6b04b58b68ead153c6fe0c91.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1212caf5d0aab8b86deec66c92c2f891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6978c2051e0a7305d2add555ff4646b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f678e7e04f2240adb433ed8e8ed40639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20075e83fc6a0d0eb134f3820107e4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1212caf5d0aab8b86deec66c92c2f891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8385599f6b04b58b68ead153c6fe0c91.png)
您最近一年使用:0次
2022-01-21更新
|
724次组卷
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5卷引用:上海市控江中学2021-2022学年高二上学期期末数学试题
上海市控江中学2021-2022学年高二上学期期末数学试题上海市行知中学2021-2022学年高二下学期3月月考数学试题(已下线)第02讲 等差数列(核心考点讲与练)-2021-2022学年高二数学考试满分全攻略(人教A版2019选修第二册+第三册)上海市同济大学第一附属中学2022-2023学年高二下学期期中数学试题(已下线)期末真题必刷压轴60题(22个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)
解题方法
3 . 已知数列
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819d72974cc2440af9a448e5076246a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794dd235c980222337d01626c96371f9.png)
A.对任意的![]() ![]() ![]() |
B.对任意的![]() ![]() ![]() |
C.对任意的![]() ![]() ![]() |
D.对任意的![]() ![]() ![]() |
您最近一年使用:0次
2022-01-03更新
|
1140次组卷
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5卷引用:浙江省绍兴市诸暨市海亮高级中学2022届高三下学期高考前最后一卷数学试题
浙江省绍兴市诸暨市海亮高级中学2022届高三下学期高考前最后一卷数学试题浙江省绍兴市诸暨市海亮高级中学2021-2022学年高三上学期12月选考数学试题(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-2(已下线)专题9 周期数列 微点2 周期数列的“脸谱”识别(已下线)第4章 数列 章末题型归纳总结(3)
4 . 已知数列
,若存在
使得数列
是递减数列,则称数列
是“
型数列”.
(1)判断数列
,
是否为“
型数列”;
(2)若等比数列
的通项公式为
(
),
,其前
项和为
,且
是“
型数列”,求
的值和
的取值范围;
(3)已知
,数列
满足
,
(
),若存在
,使得
是“
型数列”,求
的取值范围,并求出所有满足条件的
(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b23dffd914b2a504545c5eff45fb9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5577308eecb36a55efbd28640b957f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b050a5503deac7f3fb564a63fa957e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(2)若等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796c5e37feddf76f2dcca0089f04bce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71acdb04454c77e1e25ad4f336cccfe.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/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3961db88ada7ef2eb175db12046403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b23dffd914b2a504545c5eff45fb9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
5 . 设数列
满足
,
其中
为实数,数列
的前n项和是
,下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c561866f59ec5e16687332c7121b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.当![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2021-12-21更新
|
852次组卷
|
5卷引用:热点07 数列与不等式-2022年高考数学【热点·重点·难点】专练(新高考专用)
(已下线)热点07 数列与不等式-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)押全国卷(理科)第5,9题 数列-备战2022年高考数学(理)临考题号押题(全国卷)浙江省台州市第一中学2021-2022学年高三上学期期中数学试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)(已下线)第4章 数列(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
解题方法
6 . 200多年前,10岁的高斯充分利用数字1,2,3,
,100的“对称”特征,给出了计算
的快捷方法.教材示范了根据高斯算法的启示推导等差数列的前
项和公式的过程.事实上,高斯算法的依据是:若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
的图象关于点
对称,则
对
恒成立.已知函数
.
(1)求
的值;
(2)设
,
,记数列
的前
项和为
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c5cd89177a3934552efa0d7180e7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b377a08ec48ad89158c9779b086f2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5b41f8b5d0d7f18c2a6b746f6fe027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2d540cce5905a75539b4f4c2d64944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ca6b43515d16806f9840ad2e2814ec.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae7320c43f9b89650706f230a5cbd9b.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af430fc18567ecc9bc0faae9df6c4217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac8d00c56ac253f398526c9b3da6f04.png)
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9fb028fe090cf1615fbee95042ab699.png)
您最近一年使用:0次
7 . 某市2013年发放汽车牌照12万张,其中燃油型汽车牌照10万张,电动型汽车2万张,为了节能减排和控制总量,从2013年开始,每年电动型汽车牌照按50%增长,而燃油型汽车牌照每一年比上一年减少0.5万张,同时规定一旦某年发放的牌照超过15万张,以后每一年发放的电动车的牌照的数量维持在这一年的水平不变.
(1)记2013年为第一年,每年发放的燃油型汽车牌照数量构成数列
,每年发放电动型汽车牌照数为构成数列
,完成下列表格,并写出这两个数列的通项公式;
(2)从2013年算起,累计各年发放的牌照数,哪一年开始超过200万张?
(1)记2013年为第一年,每年发放的燃油型汽车牌照数量构成数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
您最近一年使用:0次
2021-11-19更新
|
319次组卷
|
10卷引用:第10讲 数学归纳法与数列综合应用 - 1
(已下线)第10讲 数学归纳法与数列综合应用 - 1(已下线)2014届上海市虹口区高三4月高考练习(二模)理科数学试卷(已下线)2014届上海市虹口区高三4月高考练习(二模)文科数学试卷2016-2017学年安徽六安一中高二文上国庆作业数学试卷上海市七宝中学2019-2020学年高二9月月考数学试题上海市行知中学2018-2019学年高三上学期期中数学试题2016届上海市宝山区高三上学期期末教学质量监测数学试题2016届上海市宝山区高考一模数学试题上海市徐汇中学2022届高三上学期期中数学试题沪教版(2020) 选修第一册 高效课堂 第四章 4.5 复习与小结
8 . 有限数列
:
,
,…,
.(
)同时满足下列两个条件:
①对于任意的
,
(
),
;
②对于任意的
,
,
(
),
,
,
,三个数中至少有一个数是数列
中的项.
(1)若
,且
,
,
,
,求
的值;
(2)证明:
,
,
不可能是数列
中的项;
(3)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
①对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431acf301f0cf1e414b532de94708474.png)
②对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247bf9c5c1ad2b3e50952ec92afa3ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f52783e7a39f438adf08ef7d05d8c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8343838b2f9943d83231763b2078136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be0f858adaefa50f7c99e6062fdf2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ad229a63bc75abfa8f5a48fe99038f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3859890e300f470dcf4a215249da07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2021-11-19更新
|
1230次组卷
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10卷引用:重庆市缙云教育联盟2022届高三上学期第O次诊断性检测数学试题
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9 . 设数列
的前
项和为
,若对任意的
,均有
是常数且
成立,则称数列
为“
数列”,已知
的首项
.
(1)若数列
为“
数列”,求数列
的通项公式;
(2)若数列
为“
数列”,且
为整数,若不等式
对一切
,
恒成立?求数列
中
的所有可能的值;
(3)是否存在数列
既是“
数列”,也是“
数列”?若存在,求出符合条件的数列
的通项公式及对应的
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fab4a7785284b29b886571e164cc49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b460715b9f4a7f3e62dde882c7b80b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8f894492a8126f5f133dec4cd68833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0369e019bd7dba22c532963b82d79f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(3)是否存在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c6145176343401f23881aad45caf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
10 . 设正整数
,其中
,记
.则下列说法正确的有_______ .
(1)
(2)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad2e2bf3d92b80293969dd30219318b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a406d53fd6ffd9ee6cd914f5e2b0a9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13437600b1f7c2f7d6d7ff59e5ea5474.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748f754a5d284f1b49e290d4ef179889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36676069cd4a1a1886a3fd9ab06252f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da364404b5f5c88acabfbf49da7a3a8d.png)
您最近一年使用:0次