1 . 中国传统数学中开方运算暗含着迭代法,清代数学家夏鸾翔在其著作《少广缒凿》中用迭代法给出一个“开平方捷术”,用符号表示为:已知正实数
,取一正数
作为
的第一个近似值,定义
,则
是
的一列近似值.当
时,给出下列四个结论:①
;②
;③
,
;④
,
.其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dde645fdd5795b4194e50d6885bf17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e40ebe5a203db35552e27bf3f079f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da18ad56af5e38b1a5b73f44ba198fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dde645fdd5795b4194e50d6885bf17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede0f7cac4530e0ed4799a8192283888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835faec9f80596430d7352dcacde9589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c3401c74f3b70fd95a069b6abcf717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3febfa17c874de45558534cc8bbe8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e377f675489078f2fec21a6b5cce0c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c68b253787b7980d259a243ee42ecfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad46a14425d9c75b82b4e1342c57949e.png)
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2 . 已知数列
满足
,且对任意正整数
,关于
的实系数方程
都有两个相等的实根.若
,则满足条件的不同实数
的个数为____________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fca8d37353fb72382ec09fd6db54ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebf3af4320e037b6fd9938d6e70d534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
3 . 已知数列
是各项为正数的等比数列,公比为q,在
之间插入1个数,使这3个数成等差数列,记公差为
,在
之间插入2个数,使这4个数成等差数列,公差为
,在
之间插入n个数,使这
个数成等差数列,公差为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3ca6aa53687236f02b85c9a25b382c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d514eb8dff80d4dc3f39de516b63b846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3468a665ac713ab7b400c672f19650a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
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2023-02-17更新
|
1719次组卷
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14卷引用:上海市崇明区2023届高三4月二模数学试题
上海市崇明区2023届高三4月二模数学试题(已下线)专题06 数列及其应用(已下线)第4章 数列 单元综合检测(重点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)第4章 数列 (单元重点综合测试)-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)浙江省金华十校2022-2023学年高二上学期期末数学试题河南省新乡市第一中学2022-2023学年高二下学期3月月考数学试题(已下线)数学(江苏卷)(已下线)专题05 数列(已下线)专题11 押全国卷(理科)第4、8题 数列安徽省蚌埠市第二中学2023-2024学年高二上学期12月月巩固检测数学试题(已下线)专题10 等比数列单调性单元测试B卷——第四章 数列(已下线)【练】 专题7 等比数列与等差数列的综合问题(已下线)【练】专题1 数列的单调性问题
名校
解题方法
4 . 对于数列
,若从第二项起,每一项与它的前一项之差都大于或等于(小于或等于)同一个常数d,则
叫做类等差数列,
叫做类等差数列的首项,d叫做类等差数列的类公差.
(1)若类等差数列
满足
,请类比等差数列的通项公式,写出数列
的通项不等式(不必证明);
(2)若数列
中,
,
.
①判断数列
是否为类等差数列,若是,请证明,若不是,请说明理由;
②记数列
的前n项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
(1)若类等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8b1261de54b824c12b6887053416c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0566ce71a91f5939b92eb8d59e8ec5.png)
①判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
②记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29858a858c8ec1e1c65db718400a4a95.png)
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2022-07-17更新
|
774次组卷
|
6卷引用:上海市七宝中学2023届高三下学期开学考试数学试题
上海市七宝中学2023届高三下学期开学考试数学试题(已下线)4.1 等差数列(第2课时)(十三大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)四川省成都市双流区2021-2022学年高一下学期期末数学试题(已下线)4.2.3 等差数列的前n项和-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)(已下线)4.2.2.1 等差数列的前n项和公式(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)(已下线)专题03 等差数列(二十三大题型+过关检测专训)(4)
名校
5 . 已知数列
. 若存在
,使得
为递减数列,则
称为“
型数列”.
(1)是否存在
使得有穷数列
为
型数列?若是,写出
的一个值;否则,说明理由;
(2)已知2022项的数列
中,
(
). 求使得
为
型数列的实数
的取值范围;
(3)已知存在唯一的
,使得无穷数列
是
型数列. 证明:存在递增的无穷正整数列
,使得
为递增数列,
为递减数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30f366b7d87e5e748367ac0a9df554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ad05e306652c42534c41636f5942ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30f366b7d87e5e748367ac0a9df554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fb9c93285f73ce392c6b8d3b2a8f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)已知2022项的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a55e4115c36490a40f83d15f066bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e306979e87a3cd19b2f390d374956f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a401c6c57a4aa884504b7a20a75b026a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a55e4115c36490a40f83d15f066bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)已知存在唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30f366b7d87e5e748367ac0a9df554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdb46e94cc0d92ebb508eec108ba531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbcb218505bec13380c6a2d730dd39c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d0ec71294e306ec78aac52f6753174.png)
您最近一年使用:0次
2022-06-23更新
|
589次组卷
|
4卷引用:上海市浦东新区2022届高考二模数学试题
名校
6 . 设角数列
的通项为
,其中
为常数且
.若存在整数
,使
的前
项中存在
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31a780e5cd250cfdfd0cbefc986e05a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f2dc09789f71d97f522849067e928f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20b5b170de73f5b3d138858d4a4d76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dfd07bbf2a71391aeda0450e57b7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246ad670c580f7066f88940f831c892e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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2022-06-11更新
|
529次组卷
|
5卷引用:上海市光明中学2022届高三模拟(一)数学试题
上海市光明中学2022届高三模拟(一)数学试题2022届上海市普通高等学校招生全国统一考试数学模拟试题(一)(已下线)第07讲 三角函数图像与性质- 1(已下线)专题06数列必考题型分类训练-3重庆市北碚区2023届高三上学期10月月度质量检测数学试题
名校
7 . 设
、
为常数,若存在大于1的整数
,使得无穷数列
满足
,则称数列
为“
数列”.
(1)设
,若首项为1的数列
为“
(3)数列”,求
;
(2)若首项为1的等比数列
为“
数列”,求数列
的通项公式,并指出相应的
的值;
(3)设
,若首项为1的数列
为“
数列”,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be33a7000b1656f7ac39942fb13bfcf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2308a0aeed12a4353b098ae06e04af9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c7de516ce17c4a6858f3bb5d6f83be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90707999e8fc89ae1137e5115c39f637.png)
(2)若首项为1的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbf0a610575a6554b542fe9264a4b1e.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a360eaf352096db726d1289ee82972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce0bd3d027e3552a42f897566b613de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7351b8037c517ab7980979323fa02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf4fc1fcae464966e10b3578e650cee.png)
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8 . 设数列
满足,
,
,设
,
.
(1)设
,
,若数列的前四项
、
、
、
满足
,求
;
(2)已知
,
,
,当
,
,
时,判断数列
是否能成等差数列,请说明理由;
(3)设
,
,
,求证:对一切的
,
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334c7decfe93aeb2feefc83cfc201aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c653177884385ae15b71438aac4e704d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55ef34345210312db273ab4981c40f6.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8579e5cafc7d374d8287c160e8fb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd71c5d9676b8dc5970adfb77971c5c.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/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc77c479702c0ba411cb92d32877eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9df341fe7cd5fe4733fb5e47c3e750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c876fac94ce67b364063bdc736b56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0751d726398c99f8685e782cc3c447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a87d281ea5314c8e350cb55a54a14af.png)
您最近一年使用:0次
解题方法
9 . 已知无穷数列
与无穷数列
满足下列条件:①
;②
.记数列
的前
项积为
.
(1)若
,求
;
(2)是否存在
,使得
成等差数列?若存在,请写出一组
;若不存在,请说明理由;
(3)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66ba9376feb1cb58b80abd17ab638a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9487a417f7059568539f6f39cce57681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cf3be68720dfac5c5ebfbdb7e782c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114a0fe21dc0e5bf831c146ef02b113.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec99c57bf7997bd93e1ed8f48d5af9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a447e5baee4f7518706498d4aca7553b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec99c57bf7997bd93e1ed8f48d5af9a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e3577ef49a3177a78392e720ea4a04.png)
您最近一年使用:0次
2021-05-05更新
|
758次组卷
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5卷引用:上海市杨浦区2021届高三二模数学试题
上海市杨浦区2021届高三二模数学试题(已下线)课时22 数列、等差数列、等比数列-2022年高考数学一轮复习小题多维练(上海专用)(已下线)考向16 数列求和及数列的综合应用-备战2022年高考数学一轮复习考点微专题(上海专用)上海市奉贤区致远高级中学2022届高三下学期开学评估数学试题(已下线)考向21数列综合运用(重点) - 2
10 . 如果数列同时满足以下四个条件:(1)
(
);(2)点
在函数
的图像上;(3)向量
与
互相平行;(4)
与
的等差中项为
(
);那么,这样的数列
,
,
,
的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f77d7c1243cf390fcb7607525e03f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e0635d74c877367a9d586e462ef35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d172205f5b7fe1f5e7de24239f2b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe49779f2db4a075d3241052eb87d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497aa89e56de583b4f57d4018a69cd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3793a93f1f4d65b71d6b5a2a6e20bfe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020c2371ab2d0e21db1b578b401bf6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe70935e545dd87ef0266d2881047652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff3f51902e1270db756839c94ce7ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa55bc54cd6c2dc5ff0f125ac1a2ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94325917c8528d89cd836a69a4ea356c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caa6cd37607a5b59018f312fac6eee7.png)
A.78 | B.80 | C.82 | D.90 |
您最近一年使用:0次