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1、电学计算题分类例析专题一、复习目标:记住欧姆定律的内容、表达式,并能熟练运用欧姆定律解决简单的电路问题;知道串并联电路中电流、电压、电阻的关系,并分析解决简单的串、并联问题;知道电功、电功率的公式,并会求解简单的问题;知道额定电压、额定功率、实际功率以及它们之间的关系;记住焦耳定律公式并能用焦耳定律进行求解通电导体发热问题。二、知识储备:1、欧姆定律:(1)内容:(2)公式:变形公式:、(3)适用条件:2、串联电路和并联电路特点:物理量电路串联电路并联电路电流电压电阻电功电功率电热推论3、电功和电热的关系:纯电阻电路:电阻R,电路两端电压U,通过的电流强度I.电功:W=电热:Q=电热和电功的关
2、系表明:在纯电阻电路中,电功电热.也就是说电流做功将电能全部转化为电路的 非纯电阻电路:电流通过电动机M时电功 :W=电热:Q=电热和电功的关系:=机械能+表明:在包含有电动机,电解槽等非纯电阻电路中,电功仍 UIt,电热仍 I2Rt.但电功不再等于电热而是电热了.4、电能表的铭牌含义:220V 5A 2500R/KW.h 5、额定电压是指用电器在_ _ 时的电压,额定功率是指用电器在_ 时的电功率。某灯泡上标有“PZ220-60”,“220”表示,“60”表示电阻是三、典题解析:题型一:简单串并联问题解题方法:解决串、并联电路的问题,首先要判断电路的连接方式,搞清串并联电路中电流、电压、电阻
3、的关系,结合欧姆定律和其它电学规律加以解决。例 1、如图 1 所示的电路中,电阻 R1的阻值为10。闭合电键S,电流表 A1的示数为0.3A,电流表 A的示数为0.5A.求(1)通过电阻R2的电流.(2)电源电压.(3)电阻 R2的阻值例 2、如图所示,小灯泡标有“2.5V”字样,闭合开关S后,灯泡 L 正常发光,电流表、电压表的示数分别为0.14A 和 6V.试求(1)电阻 R的阻值是多少?(2)灯泡 L 消耗的电功率是多少?题型二:额定功率、实际功率的计算解题方法:找准题中的不变量、变量,选择合适的公式计算例 1、把一个标有“220V 40W”灯泡接在电压为110V 电源上使用,该灯泡的额
4、定状态下的电阻、额定电流、额定功率、实际状态下的电阻、电流、实际功率分别是多少?例 2、标有“6V,6W”和“3V,6W”的两只灯泡串联接在电源上,有一只灯泡正常发光,而另一只较暗,分析:(1)电源电压(2)两灯泡消耗的实际功率分别是多少?(3)两灯泡哪只较亮?练习:1、有一只标有“PZ220 40”的灯泡,接在220V家庭电路中,求:1灯泡正常发光时的电阻?2 灯泡正常发光时通过它的电流?31KW h电可供此灯泡正常工作长时间?4若实际电压为200V,则灯泡的实际功率为多大?灯泡的发光情况如何?题型三:电热计算解题方法:首先分清电路(纯电阻电路还是非纯电阻电路),选择正确的公式计算例 1、一
5、台电动机线圈电阻0.3,接在 12V的电路上时,通过电动机的电流为0.5A,在 5min内电流做功及电流产生的热量分别多大?例 2、两根相同的电阻丝,电阻为R,将它们串联后接到电源上,20min 可以烧开一壶水;如果将它们并联后,接到同一电源上(设电源电压不变),烧开这壶水需要多长时间。文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7
6、J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
7、 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7
8、J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
9、 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7
10、J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
11、 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4练习:1、热水器中有两根电热丝,其中一根通电时,热水器中的水经15min
12、 沸腾,另一根单独通电时,热水器中的水经30min 沸腾。如把两根电热丝分别串联和并联,问通电后各需多少时间才能沸腾?(设电热丝电阻不变)。题型四:生活用电问题例 1、小欣家的电冰箱功率是0.2kW。双休日全家外出的两整天里,只有电冰箱在自动间歇工作。这两天前后,电能表示数如图4 所示。则这两天时间内,电冰箱消耗的电能是多少?实际工作时间是多长?例 2、小王家电能表上标有“220V10A”字样,他家原有电器的总功率是1500W。最近新买了一个电热水器,铭牌上部分数据如下表所示。(计算结果保留小数点后两位小数)试求:(1)电热水器的额定电流是多少安培?(2)电热水器正常工作时的电阻是多少欧姆?(
13、3)将电热水器接入家庭电路后,通过计算回答他家的用电器能否同时使用?练习:饮水机是一种常见的家用电器,其工作原理可简化为如图17 所示的电路,其中S 是一个温控开关,1R为发热板,当饮水机处于加热状态时,水被迅速加热,达到预定温度时,开关 S 自动切换到另一档,饮水机便处于保温状态。(1)试确定温控开关S接 a 或 b 时,饮水机分别对应的工作状态。(2)若饮水机加热时发热板的功率为550W,而保温时发热板的功率为88W,求电阻2R的阻值(不考虑温度对阻值的影响)。题型五、变化电路问题解题方法:由于开关的通断、滑动变阻器滑片的移动改变了电路的结构,电路中的电流、电压值会发生变化,称之为变化电路
14、问题。解决变化电路问题的关键是把动态电路变成静态电路,即画出每次变化后的等效电路图,标明已知量和未知量,再根据有关的公式和规律去解题。例 1、如图 10-13 所示,已知电阻R1=10,R2=20,电源电压U=6V 试根据下列要求进行求解:(1)当开关S1、S2都断开,S3闭合时,求电流表的示数和R1的电压;(2)当 S1、S2都闭合,S3断开时,求电流表示数;(3)开关处于何种情况下,电流表会烧坏?文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 H
15、U3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9
16、A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 H
17、U3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9
18、A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 H
19、U3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9
20、A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 H
21、U3R3N7X9U2 ZL3V6D7J9A4例 2如图所示电路,电源电压U保持不变,电源电压为12 伏特,定值电阻R1的阻值为4欧姆,滑动变阻器的最大阻值为8 欧姆,当滑动变阻器的滑片P从 a端向 b 端滑动的过程中,电流表、电压表示数的变化范围?练习:1、如图 140 所示,120 欧,240 欧,电源电压保持不变(1)当开关S1、S2都闭合时,电流表的示数是0.6 安,小灯泡恰好正常发光,求电源电压和小灯泡的额定电压;(2)当开关 S1、S2都断开时,电流表A2的示数是 0.2 安,求小灯泡的实际功率;(3)小灯泡的额定功率是多少?2、如图 15 所示的电路中,电源电压U=6V,保持不变,
22、电阻R1为 5 欧。(1)闭合开关S1,断开 S2,并将滑动变阻器的滑片P滑至 b 端时,测得R1两端的电压U1=1.2V,求滑动变阻器的最大阻值。(2)当开关 S1、S2都闭合,并将滑动变阻器的滑片Pa滑至 a 端时,若已知R2为 7.5 欧,求此时干路中的电流为多少?题型六:电路保护问题解题方法:电学计算题中常常遇到一些电路保护问题,这类问题往往涉及到电流表、电压表、滑动变阻器、灯泡等的保护。碰到这类问题时,充分运用电学规律和数学中的不等式,一般会使问题得到解决。例 1、在伏安法测电阻的实验中,电压表的示数为4.8V,电流表的示数为0.5A。如果改变电源电压后,电压表的示数为12V,前后两
23、次都用量程为00.6A 的电流表行不行?如果不行,应该怎么办?例 2、如图 11 所示,电路的电源电压和灯泡电阻不变,R1=5,灯 L 标有“8V 6.4W”字样,电流表量程为03A,滑动变阻器标有“2A”字样。(1)只闭合S1时,电流表的示数为0.6A,求电源电压。(2)闭合 S1、S2、S3,滑片移到b 端时,电流表的示数为I总=2A,求变阻器的最大阻值。(3)若电压表的量程为03V,电流表的量程为03A,只闭合S2时,在保证电路安全的情况下,求变阻器连入电路的阻值范围。练习:1、如图 25 所示,电源电压保持不变闭合开关S后,滑动变阻器 R0的滑片P在移运过程中,电压表的示数变化范围为0
24、4 伏,电流表的示数变化范围为0.5 1 安,求:(1)R的阻值;(2)R0的最大阻值;(3)电源电压图 140 文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编
25、码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N
26、7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编
27、码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N
28、7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编
29、码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N
30、7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A42、如图所示,电源电压是4.5V,电阻 R15 欧,变阻器R2的最大阻值是20 欧姆,电流表的量程是00.6 安,典押表的量程0 3 伏,为保护电表不损害,变阻器接入电路的阻值范围是多少?题型七、开放性问题例 1、如图 12 所示,R1为 12的
31、定值电阻,电源电压为9V,开关闭合后电流表示数为0.5A,通电 5min.请你根据这些条件,求出与电阻R2有关的四个电学物理量例 2、如图 13 所示的电路,R1与 R2并联,已知R1=10,通过 R1的电流 I1=3A。请你补充一个条件,求出电阻R2的电功率大小(要求:条件不能重复,数据自定,并写出简要计算过程)(1)补充条件,计算;(2)补充条件,计算。练习:1、家庭中常用电热水壶烧水,它具有方便、环保的优点下表是小红同学收集到的烧开一壶水的有关数据,请按要求作答(设电阻值不变、计算结果保留小数点后面两位)(1)烧开这壶水至少需吸收多少热量?(2)用所学知识计算出与本题相关的三个电学方面的
32、物理量要求写出简要的文字说明、计算过程和结果(3)小红同学通过计算、分析发现,烧开一壶水实际加热时间大于理论计算时间你认为产生这种现象的原因是什么?请简要分析水的质量m kg 05 电热水壶铭牌额定电压 UV 220 水的初温t0/20 额定功率 PW 440 水的比热容cJ(kg)42103实际电压UV 200 大气压值一个标准大气压实际加热时间t min 9 文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J
33、9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
34、HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J
35、9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
36、HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J
37、9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9
38、HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4文档编码:CB8H5V8O9K9 HU3R3N7X9U2 ZL3V6D7J9A4