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Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T ?
(1) The median of the numbers in set S is 0.
(2) The sum of the numbers in set S is equal to the sum of the numbers in set T.
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
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解：因为ST都是有连续的整数构成集合，所以S=(a,a+1,a+2,a+3,a+4); T=(b,b+1,b+2,b+3,b+4,b+5,b+6)
条件一说：S的中位数是0，只能得出a=-2,不能判断T中B的值；
条件二说：S的数值值和等于T得数值值和，只能列出5a+10=7b+21，不能判断中数是否相等；但是将两个条件联立，发现可以求出B的值，这样就可以判断两个集合的中位数是否相
小良冠二郎
错选b，动手吧废材，用笔运算才能保证正确
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2023-03-15 14:54:14
168433ykxxz
分享为什么b不行？
S = { a-2 a-1 a a+1 a+2 } T = { b-3 b-2 b-1 b b+1 b+2 b+3 }
根据条件二可知 5a=7b，那不是只有a和b为0的时候等式才成立吗？所以单条件二不是就满足了吗？
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2023-01-04 23:33:57
168433ykxxz
为什么b不行？根据条件二可知 5a=7b，那不是只有a和b为0的时候等式才成立吗？所以单条件二不是就满足了吗？
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2023-01-04 23:29:29
Hamlin回复168433ykxxz
a=7，b=5呢
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2023-01-05 15:05:30
987566z
S = { a-2 a-1 a a+1 a+2 }
T = { b-3 b-2 b-1 b b+1 b+2 b+3 }
(1) a=0
(2) 5a = 7b
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2022-10-10 10:12:07
283740ph
连续整数的中位数=平均数
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2022-03-06 16:12:28
虫0515
错选了B,以为和相等元素个数不等，所以平均数不相等，所以（等差数列）中位数不相等，没有考虑和可能是零的情况。
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2021-11-23 15:49:46
送我上700回复虫0515
5a=7b我想了半天a怎么可能等于b之道看到你的评论
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2022-03-06 23:10:31
Arizhang
数列里可能会有负数
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2021-04-14 09:00:37
LISA保佑我上700
我怎么觉得应该选B。S=(a,a+1,a+2,a+3,a+4); T=(b,b+1,b+2,b+3,b+4,b+5,b+6)，问a+2是否等于b+3？条件二：5a+10=7b+21 即5（a+2）=7（b+3），所以a+2肯定不可等于b+3.efficient 这样哪错了....
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2020-07-27 10:23:01
LISA保佑我上700回复LISA保佑我上700
喔 我知道了 a+2和b+3还可以都等于0
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2020-07-27 10:34:41
冲他丫的回复LISA保佑我上700
哎 我也是直接就选了
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2021-11-02 21:26:22
180721qxbb回复LISA保佑我上700
也不只是0，还有a+2=7 -> a=5, b+3=5 -> b=2
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2022-07-17 19:00:50
夏夏夏筱染
条件二反例：a=7，b=5，两个集合元素和是一样的
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2019-08-31 10:44:23
夏夏夏筱染回复夏夏夏筱染
b=2，打错了
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2019-08-31 10:46:16
夏夏夏筱染回复夏夏夏筱染
a=5
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2019-09-03 14:18:34
Kath1230
遇到five consecutive integers, 就要懂得会把它设置成a, a+1, a+2, a+3, a+4 seven consecutive integers. 就要懂得把它设置成b, b+1, b+2, b+3, b+4, b+5, b+6 第一个条件能求出a 第二个条件能有a和b的关系式子 联立可以求出b，那么就可以知道中位数是否相等
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2019-02-05 17:54:46
Adelaz
把范围限制到和为零了，没想到其他情况
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2017-10-28 17:12:25
我要700回复Adelaz
+1
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2018-04-01 20:05:09
桃总漏了
不只有0这种情况啊，设集合1中位数是x，集合2中位数是y，只要5x＝7y，sun就相等。0是特殊情况。
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2017-09-30 13:47:51
ssccvv00回复桃总漏了
integers
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2018-11-12 14:20:24
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数据充分DS
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