1 . 高中教材必修第二册选学内容中指出:设复数
对应复平面内的点
,设
,
,则任何一个复数
都可以表示成:
的形式,这种形式叫做复数三角形式,其中
是复数
的模,
称为复数
的辐角,若
,则
称为复数
的辐角主值,记为
.复数有以下三角形式的运算法则:若
,则:
,特别地,如果
,那么
,这个结论叫做棣莫弗定理.请运用上述知识和结论解答下面的问题:
(1)求复数
,
的模
和辐角主值
(用
表示);
(2)设
,
,若存在
满足
,那么这样的
有多少个?
(3)求和:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1116c1a2be36c2952f3f621854433824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983fa8f4d178a0a909226523a33d521c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437f03842c607c5554d86177ce090def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eec3e684af41f9ed4db5b931b9ccfb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f56cfb41ee7cb758fee138ab09e0d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cac4804764e9ffa2a2c9c37e450713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6481f56ecdb2488e91835028d3cc7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b604ddba45cd6dbf1b937f9db82906d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77476f0974841f574785fc9940b2f8ca.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042b282f488b75517fb269e8b2512125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1d604600d084879cf3199cd0282345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce48af55c99256efdc68fac0767d944c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f56cfb41ee7cb758fee138ab09e0d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3b1a317184018ea9efc8154a878658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40142c84be68ee2918c3a8303388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffae22ae38d7238130e81a9e554d94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)求和:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f152097ab61600de85e8181d056dab9b.png)
您最近一年使用:0次
2024-06-12更新
|
179次组卷
|
2卷引用:福建省安溪铭选中学2023-2024学年高一下学期6月份质量检测数学试题
名校
解题方法
2 . 已知
是公差为
的等差数列,且
、
、
成等比数列.
(1)求
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/daf464629fa321a6ff7401ab79f07083.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.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
2022-09-13更新
|
1160次组卷
|
14卷引用:福建省晋江市(安溪一中、养正中学、惠安一中、泉州实验中学四校)2017-2018学年高一下学期期末联考数学试题
福建省晋江市(安溪一中、养正中学、惠安一中、泉州实验中学四校)2017-2018学年高一下学期期末联考数学试题四川省成都市金牛区第十八中学校2019-2020学年高一下学期期中数学试题(已下线)2018年11月浙江省普通高中学业水平考试数学仿真模拟试题03【全国百强校】甘肃省兰州第一中学2019届高三12月月考数学(文)试题【全国百强校】甘肃省兰州一中2019届高三上学期12月月考数学(文)试题安徽省阜阳市颍上第二中学2019-2020学年高二上学期期中数学(文)试题安徽省安庆市怀宁县第二中学2018-2019学年高三上学期第三次月考数学(文)试题广东省揭阳市普宁市华侨中学2022届高三上学期期中数学试题(已下线)专题07 数列的通项与数列的求和(练)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》湖北省部分重点中学2021-2022学年高三上学期元月联考数学试题江苏省无锡市江阴高级中学2022届高三下学期期初考试数学试题河北省石家庄市元氏县第四中学2021-2022学年高二下学期期末数学试题陕西省安康市汉阴中学2022-2023学年高三上学期第1次月考理科数学试题陕西省西安市户县第四中学2022-2023学年高二上学期期中文科数学试题
名校
解题方法
3 . 已知数列
是等差数列,
是等比数列,且
.
(1)求
的通项公式;
(2)设
,求数列
的前n项和.
![](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/b814a061ad5ffe01399f710d28dde1c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
2021-11-04更新
|
1114次组卷
|
10卷引用:【全国百强校】福建省厦门外国语学校2018-2019学年高一下学期第一次月考数学试题
【全国百强校】福建省厦门外国语学校2018-2019学年高一下学期第一次月考数学试题宁夏银川市灵武市第一中学2021-2022学年高一下学期期末考试数学试题(已下线)2019年4月16日 《每日一题》理数三轮复习-数列(2)(已下线)2019年4月16日 《每日一题》文数三轮复习-数列(2)(已下线)第五章 数列 本章小结内蒙古呼和浩特市职工子弟第一中学2021-2022学年高二上学期期末数学试题辽宁省沈阳市第二中学2021-2022学年高二下学期期中数学试题浙江省杭州市桐庐中学2022-2023学年新高三暑期阶段性测试数学试题辽宁省实验中学东戴河分校2022-2023学年高三上学期10月月考数学试题人教B版(2019)选择性必修第三册课本习题第五章本章小结
4 . 已知数列{an}的前n项和为
,
,数列{bn}满足b1=1,点P(bn,bn+1)在直线x﹣y+2=0上.
(1)求数列{an},{bn}的通项公式;
(2)令
,求数列
的前n项和Tn;
(3)若
,求对所有的正整数n都有
成立的k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e9cd8becd83f108ff3f490c99ff12a.png)
(1)求数列{an},{bn}的通项公式;
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc535a0394c62f8029665f39da3a439.png)
您最近一年使用:0次
2022-06-14更新
|
1248次组卷
|
10卷引用:福建省莆田第一中学2019-2020学年高一下学期期中考试数学试题
福建省莆田第一中学2019-2020学年高一下学期期中考试数学试题福建省莆田一中2019-2020学年高一(下)期中数学试题安徽省淮南市第一中学2018-2019学年高一年级第二学期创新班第四次段考数学试题河北省邯郸市第二中学2017-2018学年高二上学期期中考试数学试题沪教版(2020) 选修第一册 领航者 期末测试辽宁省沈阳市第八十三中学2021-2022学年高二下学期6月月考数学试题(已下线)高二数学下学期期末精选50题(提升版)-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)(已下线)第04讲 数列求和 (练)-2023年高考数学一轮复习讲练测(新教材新高考)2023版 苏教版(2019) 选修第一册 名师精选卷 第四章 数列(已下线)拓展三:数列与不等式 -【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)
名校
解题方法
5 . 已知数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](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/857f2767a629fb1a0c6be68af6b01049.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f064fdf3dcef02cf7a32809b98a64989.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
6 . 已知数列{an}的前n项和Sn=2n+2﹣4(n∈N*),函数f(x)对∀x∈R有f(x)+f(1﹣x)=1,数列{bn}满足
+f
+f(1).
(1)分别求数列{an}、{bn}的通项公式;
(2)已知数列{cn}满足cn=an•bn,数列{cn}的前n项和为Tn,若存在正实数k,使不等式k(n2﹣9n+49)Tn>10n2an对于一切的n∈N*恒成立,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b3c712e6e4facfd6afa74900181674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d1df88b01f78411c787f00cdb41825.png)
(1)分别求数列{an}、{bn}的通项公式;
(2)已知数列{cn}满足cn=an•bn,数列{cn}的前n项和为Tn,若存在正实数k,使不等式k(n2﹣9n+49)Tn>10n2an对于一切的n∈N*恒成立,求k的取值范围.
您最近一年使用:0次
2021-07-21更新
|
499次组卷
|
2卷引用:福建省泉州市永春一中2018-2019学年高一(下)期中数学试题
名校
解题方法
7 . 已知数列
的前
项和为
,且
,数列
满足
,
.
(1)求数列
,
的通项公式;
(2)设数列
满足
,求数列
的前
项和
,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/742ed2154a59996a9842549972241449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c80a17311493cfc0c762610eb7cde9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b3c6bf8122b705ecfeb93b543bf93e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02e80983b88cdf6b540502816c87d13.png)
您最近一年使用:0次
名校
解题方法
8 . 设数列
的前n项和为
,且满足
,
,数列
满足
,且
.
(1)求数列
和
的通项公式;
(2)设
,数列
的前n项和为
,求证:
;
(3)设数列
满足
(
),若数列
是递增数列,求实数
的取值范围.
![](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/b3d4fe74f5287a2e23d9e8912714f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb27cc29c836ab7b82ad4a3acde8a3f5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b648243c95323ea726ba24a42355cc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b648243c95323ea726ba24a42355cc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36f16deba370e8803480fd670abf44a.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e9c042584ed68bd73e1901ac594a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-09-16更新
|
519次组卷
|
3卷引用:福建省四地六校2014-2015学年高一下学期第一次联考数学试卷(解析版)
名校
解题方法
9 . 已知在数列
中,
为其前
项和,且
,数列
为等比数列,公比
,
,且
,
,
成等差数列.
(1)求
与
的通项公式;
(2)令
,求
的前项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cce20eb95d5e0c85193f709751c81bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aaee408bdec05bbdfcd4b841a331e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e82778985cd2e9f80ca7b7cabb1a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a548938d87c80ac47910607d3857007f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205655eaf7bad1a63b8b083630bcf8aa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c2a5f8ec179b72b201c3c0a670612a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-09-06更新
|
376次组卷
|
3卷引用:福建省莆田第一中学2019-2020学年高一下学期期末考试数学试题
10 . 在①
,②
的面积为
,这两个条件中任选一个,补充在下面问题中,并解决该问题:
在
中,角
,
,
所对各边分别为
,
,
,已知
,______,且
.
(1)求
的周长;
(2)已知数列
为公差不为0的等差数列,数列
为等比数列,
,且
,
,
.若数列
的前
项和为
,且
,
,
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0009025adccede76783a0a4d95cb4f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f135978c10b811cb73a6b13a28c0c509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)已知数列
![](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/ae345071d486de6c861346b2ebe02564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aaee408bdec05bbdfcd4b841a331e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c340fdadffa2f9120a70430ce477f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d12bacf6421a87f6f671dac42aa482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/0617cd8b7770e1ce00b053c21b207f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d5a182ffa9c09559c26a5ec90b1f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d12240edb7736011f3be4964220094e.png)
您最近一年使用:0次