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1、中考高分必杀技之疯狂物理许昌市第十二中学胡兆锋鸡三种机械(杠杆、斜面、滑轮组)公式一.高分必知:1.杠杆平衡条件:f1×l1f2×l22.斜面机械效率:(g·h)/(f·s)3.滑轮组公式:f(g物g动)/n sn·h (g物·h)/(f·s)g物/(n·f)g物/ (g物g动)二.高分必练:1.1.(08青海)在探究“杠杆的平衡条件”的实验中,采用如图所示的装置。(1)实验时,应先调节平衡螺母,使杠杆在_位置平衡。(2)若不计杠杆质量和摩擦且杠杆刻度均匀,每个钩码都相同,在c点挂2个钩码时,在d点应挂_个钩码,杠
2、杆才能恢复平衡。(3)若钩码所挂位置不动,将左边的钩码拿掉一个,要使杠杆仍保持平衡状态,应将右边的钩码拿掉 个。(4)由此,总结出杠杆的平衡条件为:_。【解析】解答:(1)水平(2)4 (3)2 (4)f1×l1f2×l21.2. (08广东)如图l3所示是小明测量杠杆机械效率的实验情景(杠杆的重力忽略不计)(1)请在下表中把相关的数据填写完整:物体重gn物体上升的高度hcm弹簧测力计的示数fn弹簧测力计移动的竖直距离scm有用功w有j总功w总j机械效率430(2)为提高本实验中杠杆的机械效率,请提条合理的建议: 。【解析】解答:(1)物体重gn物体上升的高度hcm弹簧测力
3、计的示数fn弹簧测力计移动的竖直距离scm有用功w有j总功w总j机械效率4152.4300. 60.7285.7(2)选择支点灵活的杠杆(合理即可)1.3.(09江苏)用如图所示的实验装置测量杠杆的机械效率实验时,竖直向上匀速拉动弹簧测力计,使挂在较长杠杆下面的钩码缓缓上升(1)实验中,将杠杆拉至图中虚线位置,测力计的示数f为 n,钩码总重g为1.0n,钩码上升高度h为0.1m,测力计移动距离s为0.3m,则杠杆的机械效率为 %请写出使用该杠杆做额外功的一个原因: (2)为了进一步研究杠杆的机械效率与哪些因素有关,一位同学用该实验装置,先后将钩码挂在a、b两点,测量并计算得到下表所示的两组数据
4、:根据表中数据,能否得出“杠杆的机械效率与所挂钩码的重有关,钩码越重其效率越高”的结论?答: ;请简要说明两条理由: . 【解析】解答: (1) 0.5 66.7 由于使用杠杆时需要克服杠杆自重(克服摩擦力)等做功(2) 不能 两次实验时钩码没有挂在同一位置 ;仅根据一次对比实验所得结论是不可靠的2.1.(09襄樊)某实验小组的同学在探究斜面的机械效率时,他们用弹簧测力计拉着小车沿斜面向上运动,收集了下表中的实验数据:(1)分析上表中的数据得出:当斜面 时,越省力;(2)分析上表中的数据还可得出:当斜面 时,斜面的机械效率最大;(3)该小组又做了第4次实验:他们在斜面上铺上棉布,使斜面变粗糙,
5、保持斜面高和长分别为0.5m和lm,用弹簧测力计拉着这个小车沿斜面向上做匀速直线运动,读出这时弹簧测力计的示数为4.5n,则他们测出斜面的机械效率为 。把第4次与第 次的测量结果相比较,才能得出:当斜面越粗糙时斜面的机械效率越小。【解析】解答:(1)较缓 (2)最陡 (3)56(或填“556) 22.2.(09太原)如图2所示,斜面长5m,高1m,工人用沿斜面方向400n的力把重1600n的集装箱匀速推到车上,推力对集装箱做的功是 j,斜面的机械效率是 【解析】解答:2000 80%2.3.(09天津)天津在支援四川德阳地区抗震救灾活动中,一辆满载物资的总重为g牛顿的运输车,将物资沿abcd路
6、线运至d处,ab段海拔高度为h1米,cd段海拔高度为h2米,如图甲所示。在整个运输过程中,汽车以恒定速度v米秒运动,汽车t=0时经过a处,tl时经过b处,t2时经过c处,在此过程中汽车牵引力功率p随时间,变化的图象可简化为图乙所示(p1、p2、tl和t2也为已知量)。(1)请分析说明汽车在ab段和bc段运动时牵引力的大小关系。(2)请用已知量求汽车沿斜坡bc段运动时所受总阻力的表达式(总阻力包括摩擦力和空气阻力)。【解析】解答:图172.4.(08湖北荆门)学习了机械效率知识后,全班同学对“斜面的机械效率跟什么因素有关”这一课题提出了一些值得探究的猜想:a.斜面的机械效率跟斜面的倾斜程度有关;
7、b.跟斜面的粗糙程度有关;c.跟斜面的长度有关;d.跟物体的重力有关。小刚同学为了证实其中的部分猜想是否正确,设计方案并进行了探究,下表反映了他的探究过程。实验次数斜面倾角斜面粗糙程度物重g/n斜面高度h/m沿斜面拉力f/n斜面长s/m有用功w有/j总功w总/j机械效率(%)30°粗糙10.50.710.50.730°稍光滑10.50.610.58345°粗糙10.70.910.978(1)请你替小刚在上表中的空格处填上适当的数据(小数位参照表中相关数据)。(2)通过对比实验数据,可验证猜想_(填写字母)。(3)通过对比实验数据,可以得出的探究结论是:当其它条件一
8、定时,斜面倾斜程度越大,斜面的机械效率越_。(4)若要验证猜想d,应控制斜面的长、斜面的倾斜程度和_不改变。【解析】解答:(1)71 0.6 0.7 (2)b (3)高 (4)斜面的粗糙程度3.1.(09临沂)如图所示,用动滑轮将重为900n的物体匀速提升2m,不计摩擦和滑轮重,所施加的拉力f= n,这一过程中拉力f做功 j。【解析】解答:300 18003.2.(09河南七地市)2008年5月12日,四川汶川发生8级大地震,震后立即开展了紧急救援。在救援过程中,常看到救援工作者使用的这种起重机械,利用这种机械吊起坍塌的混凝土结构的吊板。图14所示是这种起重机吊臂上的滑轮组,它在50s内将重为
9、2.4×104n的吊板匀速提高10m。已知拉力f为104n。则这个过程中:(1)拉力f做了多少功?拉力f的功率多大?(2)滑轮组的机械效率多大?【解析】解答:(1)3×105j 6×103w (2)803.3.(09江西)如图所示,是2008北京残奥会开幕式最后一棒火炬手侯斌,靠自己双手的力量,攀爬到火炬台底部并最终点燃圣火的照片,该点火仪式充分体现了残疾人自强自立、拼搏向上的勇气和精神.已知他和轮椅总质量为80kg,攀爬高度39m,历时约3min20s.(1)如果不计机械装置的额外功,求他的平均功率多大?(2)小明同学看到火炬手攀爬很费劲,想到物理课上学过利用滑
10、轮组可以省力.小明同学如果站在地面上,用如图所示的哪个滑轮组拉起火炬手侯斌最合适,理由是什么?如果该滑轮组机械效率为80,求小明同学的拉力至少要多大?(g取10n/kg)【解析】解答:(1)pw/tgh/tmgh/t80×10n/×39m/200s156w(2)d滑轮组. 拉力方向向下且更省力 w有用/w总gh/fsgh/4fhg/4ffg/4(80kg×10n/)/(4×0.8)250n3.4.(09贵阳)如图所示,拉力f=80n,物体重g=120n,若绳子自由端匀速拉动的距离s=4m,物体被提高的距离h=2m,求:(1)拉力所做的有用功;(2)拉力所
11、做的总功w总;(3)该滑轮组的机械效率。【解析】解答:3.5.(09河北)小明做“测滑轮组机械效率”实验时,用右图中所示的滑轮,组装成滑轮组,请在图中画出使用该滑轮组时最省力的绕法。用此滑轮组将重为3.6n的物体匀速提起时,拉力的功率为0.36w,滑轮组的机械效率为75%.(忽略摩擦及绳重)求:(1)绳子自由端移动的速度和动滑轮的总重。(2)若用此滑轮组提起小于3.6n的重物时,其机械效率将如何改变?说明理由。【解析】解答:绕法如右下图,绳子段数n=4。(1)因为 所以拉力为 由于 所以绳子自由端移动速度为 由于忽略摩擦及绳重,则 所以动滑轮重 (2)减小 由于忽略摩擦及绳重所以当提升的物体重
12、力减小时,滑轮组机械效率减小。(或者当提升物体的重力减小时,有用功减小,额外功不变,故其机械效率减小。)/本题有一定的难度,在于题目中的设问为逆向思维。而题目中给定已知量不多,也导致难度的增大。3.6.(08甘肃兰州)如右图所示是测定滑轮组机械效率时所用的滑轮,若使绳端的拉力沿向上的方向(1)请在图中画出该滑轮组的绳子绕法。(2)完善下列实验步骤:a按组装图把实验器材装配好b用弹簧秤测量出重物的重力c在动滑轮下面挂上重物,并分别记下重物和弹簧秤的位置d拉弹簧秤,使重物上升一段距离,读出e用刻度尺分别量出和移动的距离f由测得的数据,求出滑轮组的机械效率(3)在这个实验中,若物重4n,重物上升了0
13、.1m,弹簧秤示数为2n,请计算该滑轮组的机械效率。(4)你能分析一下效率不是100%的原因吗?请你试着写出两条:、。【解析】解答:(1)见右图(2)竖直匀速弹簧秤读数 重物上升的距离 绳的自由端(3)66.7(4)没有考虑动滑轮及绳子所受重力没有考虑绳子与滑轮间的摩擦9jwkffwvg#tym*jg&6a*cz7h$dq8kqqfhvzfedswsyxty#&qa9wkxfyeq!djs#xuyup2knxprwxma&ue9aqgn8xp$r#͑gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4
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32、xgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqvadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5u
33、xgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*
34、3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>x
35、rm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrr
36、wwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2z
37、vkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&a
38、mp;qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%madnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#q
39、cue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*adnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpa
40、zadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&
41、amp;qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz
42、849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&
43、ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5
44、uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu
45、#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnugk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&
46、;qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!
47、z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywr
48、rwwcvr9cpbk!zn%mz849gxgjqv3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6yw
49、rrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu
50、#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mzadnu#kn&muwfa5uxy7jnd6ywr
51、rwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcadnu#kn&muwfa5
52、uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&
53、;qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#q
54、cue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv
55、*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2
56、zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa
57、5uxy7jnd6ywrrwwcvr9>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadn
58、u#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnugk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&a
59、mp;muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84
60、9gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqvue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&a
61、mp;ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum>xrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwf
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