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1、黑龙江省各地市2013 年高考数学最新联考试题分类汇编（13）概率一、选择题:（2）(黑龙江省大庆市2013 届高三第二次模拟文)从甲、乙、丙三名学生中选出两名，参加两个不同学习小组，其中甲、乙不同时入选的概率为（A）56（B）23（C）12（D）34【答案】B 4(黑龙江省哈师大附中2013 届第三次高考模拟理)已知随机变量 服从正态分布N(1,2)，且P(2)=0.8，则P(0 1)=A0.2 B0.3 C0.4 D0.6【答案】B 10.(黑龙江省教研联合体2013 届高三第二次模拟理)已知实数,a b满足0404ab，12,x x是关于x的方程2230 xxba的两个实根，则不等式12
2、01xx成立的概率为A.332 B.316 C.532 D.916【答案】A 二、填空题:14(东北三省三校2013 年 3月高三第一次联合模拟理)已知,)|1,|1x yxyA（，是曲线2yx与12yx围成的区域，若向区域上随机投一点P，则点P落入区域A的概率为解析：由题知：此题是几何概型问题，从而120()1()412Axx dxSP AS14.(黑龙江省牡丹江地区六市县2013 届高三第一次联考理)第十五届全运会将在哈尔滨市举行.若将 6 名志愿者每2 人一组，分派到 3 个不同的场馆，则甲、乙两人必须分在同组的概率是_【答案】51三、解答题:18(东北三省三校2013 年 3 月高三第
3、一次联合模拟理)（本小题满分12 分）PM2.5是指悬浮在空气中的空气动力学当量直径小于或等于2.5 微米的颗粒物，也称为可入肺颗粒物，根据现行国家标准GB3095 2012，PM2.5 日均值在 35 微克/立方米以下空气质量为一级；在35 微克/立方米 75毫克/立方米之间空气质量为二级；在75 微克/立方米以上空气质量为超标。从某自然保护区2012 年全年每天的PM2.5 监测值数据中随机地抽取10 天的数据作为样本，监测值频数如下表所示：PM2.5 日均值（微克/立方米）25,35(35,45(45,55(55,65(65,75(75,85 频数3 1 1 1 1 3（1）从这 10
4、天的 PM2.5 日均值监测数据中，随机抽取3 天，求恰有1 天空气质量达到一级的概率；（2）从这 10 天的数据中任取3 天数据，记 表示抽到PM2.5监测数据超标的天数，求 的分布列；（3）以这 10 天的 PM2.5日均值来估计一年的空气质量状况，则一年（按366 天算）中平均有多少天的空气质量达到一级或二级。（精确到整数）解析：（）记“从10 天的 PM2.5日均监测数据中，随机抽出三天，恰有一天空气质量达到一级”为事件A，1 分123731021()40CCP AC.4 分（）依据条件，服从超几何分布：其中10,3,3NMn，的可 能值为0,1,2,3，其分布列为：3373100,1
5、,2,3kkC CPkkC6 分8分（）依题意可知，一年中每天空气质量达到一级或二级的概率为710P，012372421407401120文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S1
6、0 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S
7、10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3
8、S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V
9、3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5
10、V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I
11、5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7
12、I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3一年中空气质量达到 一级或二级的天数为，则(366,0.7)B 10 分3660.7256.2256E，一年中平均有256 天的空气质量达到一级或二级.12分（18）(黑龙江省哈六中2013 届高三第二次模拟理)（本小题满分12 分）某射击比赛规则如下，开始时在距目标100 米处射击，如果命中记3 分，且停止射击；若第一次射击未命中，可以进行第二次射击，但目标已在150 米处，这时命中记2 分，且停止射击；若第二次仍未命中还可以进行第三次射击，但此时目标已在200 米处，若第三次命中则记 1 分，并停止射击；若三次都未命中，则记
13、 0 分，已知某射手在100 米处击中目标的概率为12，他的命中率与目标距离的平方成反比，且各次射击都是相互独立的（1）求这名射手在射击比赛中命中目标的概率；（2）若这名射手在射击比赛中得分记为，求的分布列与数学期望18 解：记“第一、二、三次射击命中目标”分别为事件A，B，C，210021)(kAP，5000k则921505000)(2BP，812005000)(2CP .3分（1）“该射手射中目标”为事件D，144958797211)(DP .5分（2）射手得分为，则3,2,1,0 .6分14449)0(P，1447819721)1(P，919221)2(P，21)3(P .10 分0 1
14、 2 3 P14449144791214885)(E .12 分（18）(黑龙江省哈六中2013 届高三第二次模拟文)（本小题满分12 分）某班对喜爱打篮球是否与性别有关进行了调查，以本班的 50 人为对象进行了问卷调查得到了如下的列联表：喜爱打篮球不喜爱打篮球合计男生5 女生10 合计50 文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O
15、10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5
16、O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X
17、5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7
18、X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS
19、7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 H
20、S7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10
21、HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3)()()()(22dbcadcbabcadnK)(2kKP005 001 0001 k3841 6 635 10828 已知在全部50 人中随机抽取1 人，抽到喜爱打篮球的学生的概率为53（）请将上面的列联表补充完整；（）是否有9.99%的把握认为喜爱打篮球与性别有关？说明你的理由；（）已知不喜爱打篮球的5 位男生中，321,AAA喜欢踢足球，21,BB喜欢打乒乓球，现再从
22、喜欢踢足球、喜欢打乒乓球的男生中各选出1 名同学进行其他方面的调查，求1A和1B至少有一个被选中的概率附：18.（1）喜爱打篮球不喜爱打篮球合计男生20 5 25 女生10 15 25 合计30 20 50（2）828.103.825252030)5101520(50)()()()(222dbcadcbabcadnK故没有9.99%的把握认为喜爱打篮球与性别有关（3）设“1A和1B至少一个被选中”为事件A 从喜欢踢足球、喜欢打乒乓球的男生中各选出1 名同学的结果有：),(),(),(),(),(),(231322122111BABABABABABA,共 6种其中1A和1B至少一个被选中的结果有
23、：),(),(),(),(13122111BABABABA所以3264)(AP18(东北三校2013 届高三第二次联合模拟文)（本小题满分12 分）某学生社团在对本校学生学习方法开展问卷调查的过程中发现，在回收上来的1000 份有效问卷中，同学们背英语单词的时间安排共有两种：白天背和晚上临睡前背。为研究背单词时间安排对记忆效果的影响，该社团以5%的比例对这1000 名学生按时间安排类型进行分层抽样，并完成一项实验，实验方法是，使两组学生记忆40 个无意义音节（如XIQ、GEH），均要求在刚能全部记清时就停止识记，并在 8 小时后进行记忆测验。不同的是，甲组同学识文档编码:CW3Z7I5V3S1
24、0 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S
25、10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3
26、S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V
27、3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5
28、V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I
29、5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7
30、I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3记结束后一直不睡觉，8 小时后测验；乙组同学识记停止后立刻睡觉，8 小时后叫醒测验。两组同学识记停止8
31、小时后的准确回忆（保持）情况如图（区间含左端点而不含右端点）（1）估计 1000 名被调查的学生中识记停止后8 小时 40 个音节的保持率大于等于60%的人数；（2）从乙组准确回忆因结束在12,24)范围内的学生中随机选3 人，记能准确回忆20个以上（含20）的人数为随机变量X，求X分布列及数学期望；（3）从本次实验的结果来看，上述两种时间安排方法中哪种方法背英语单词记忆效果更好?计算并说明理由。18.（本小题满分12 分）解：（）1000 5%50，由甲图知，甲组有4108421 130（人），乙组有 20 人 又40 60%24，甲组有1 人、乙组有(0.06250.0375)4208人符
32、合要求，(18)5%180（人），即估计1000 名学生中保持率大于等于60%的人数为180人 4 分（）乙组准确回忆音节数在)12,8范围内的学生有2040125.0=1 人，记为a，)16,12范围内的学生有2204025.0人，记为BA,)20,16范围内的学生有2 人，记为DC,从这五人中随机选两人，共有10 种等可能的结果：),(),(),(),(),(),(),(),(),(),(DCDBCBDACABADaCaBaAa记“两人均能准确记忆12 个（含 12 个）以上”为事件E,则事件E包括 6 种可能结果：),(),(),(),(),(),(DCDBCBDACABA故53106)
33、(EP,即两人均准确回忆12 个（含 12 个）以上的概率为53 10分（）甲组学生准确回忆音节数共有：28812612221841481010642个文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z
34、7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3
35、Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW
36、3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:C
37、W3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:
38、CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码
39、:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编
40、码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3故甲组学生的平均保持率为24%6.940130288401乙组学生准确回忆音节数共有：4324)0375.0300625.026075.022025.018025.0140125.0100125.06(故乙组学生平均保持率为24%54%6.2140120432401所以从本次实验结果来看，乙组临睡前背单词记忆效果更好.12 分（回答21.69.6等，也可给分）文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2
41、K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E
42、2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3
43、E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY
44、3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 Z
45、Y3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1
46、ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3文档编码:CW3Z7I5V3S10 HS7X5O10D4T1 ZY3E2K6W10K3