2022年六年级数学下册第一单元导学案圆柱和圆锥-练习一 .pdf
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2022年六年级数学下册第一单元导学案圆柱和圆锥-练习一 .pdf
学习好资料欢迎下载北师大版小学六年级数学下册第一单元“圆柱和圆锥”导学案课题:圆柱和圆锥练习一(1)学习目标:1、进一步理解圆柱体侧面积和表面积及体积的含义。2、掌握求圆柱的侧面积、表面积及体积的方法,并能运用到实际中解决问题。3、学生能够运用公式正确地计算圆锥的体积。学习重点:掌握求圆柱的侧面积、表面积的方法,并能运用到实际中解决问题。学习难点:圆柱表面积、体积和圆锥的体积实际应用。教学过程:一、讲一讲:(板书课题)1、回答下列问题。(1)圆柱、圆锥各有什么特征?圆柱特征:圆锥特征:(2)怎样求圆柱侧面积和表面积?圆柱的侧面积:圆柱的表面积:(3)怎样求圆柱和圆锥的体积?圆柱的体积:圆锥的体积:(4)圆柱与圆锥的体积之间有什么关系?关系:检测一下自己的学习情况:一、知识之窗(每题2 分,共 20 分)1、沿着圆柱的高剪,侧面展开得到一个(),它的一条边就等于圆柱的(),另一条边就等于圆柱的()2、长方体、正方体、圆柱体的体积计算公式都可以写成()。3、3.6 立方米=()立方米()立方分米8050 毫升=()升()毫升4、边长是 6 分米的正方形纸围成一个圆柱形纸筒(接头处不计),这个纸筒的侧面积是()5、一个盛满水的圆锥体容器高9 厘米,如果将水全部倒入与它等底等高的圆柱体容器中,则水高()厘米。学习好资料欢迎下载6、有一个圆柱形罐头盒,高是 1 分米,底面周长6.28 分米,盒的侧面商标纸的面积最大是()平方分米,这个盒至少要用()平方分米的铁皮。7、一个圆锥体的体积是1512立方米,高是6 米,它的底面积是()平方米。8、把一个底面直径是2 分米,高是3 分米的圆柱体削成一个最大的圆锥体,削去()立方分米。9、一个圆柱体和一个圆锥体的底面积和体积分别相等,已知圆柱体的高6 厘米,那么圆锥体的高是 ()厘米。10、等底等高的圆柱和圆锥的体积相差16 立方米,这个圆柱的体积是()立方米,圆锥的体积是()立方米二、请你当回裁判(每题2 分,共 10 分)1、圆柱的体积比圆锥的体积大()2、圆锥的体积等于圆柱体积的13()3、两个圆柱的体积相等那么它们的表面积也相等。()4、圆柱体的高扩大2 倍,体积就扩大2 倍。()5、圆柱的底面直径是3 厘米,高9.42 厘米,侧面展开后是一个正方形。()三、快乐ABC(每题 2 分,共 10 分)1、求圆柱形木桶内盛多少升水,就是求水桶的()A、侧面积 B、表面积 C、体积 D、容积2、等底等高的圆柱、正方体、长方体的体积相比较()A、正方体体积大 B、长方体体积大 C、圆柱体体积大 D、体积一样大3、一个圆柱的侧面展开以后正好是一个正方形,那么圆柱的高等于它的底面()。A.半径 B.直径 C.周长 D.面积4、压路机滚筒滚动一周能压多少路面是求滚筒的()A、表面积 B、侧面积 C、体积5、一个棱长4 分米的正方体木块削成一个最大的圆柱体,体积是()立方分米。A、50.24 B、100.48 C、64 四、小小神算手1、计算并填写下表(每空 2 分,共 22 分)文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9学习好资料欢迎下载名称条件侧面积表面积体积圆柱r=6 分米 h=8分米d=20 厘米 h=12厘米C=12.56 厘米 h=15 厘米圆锥S=4.2 平方分米 h=8厘米d=6 米 h=4米2、计算下面图形的体积(每题4 分,共 8 分)五、生活直通车(每题5 分,共 30 分)1、把 120 升汽油倒入底面积是25 平方分米的圆柱形油桶里,油面高多少分米?2、下列两题选其中任意一道打“”,然后再做(1)一个圆柱形的汽油桶,底面半径是2 分米,高是5 分米,做这个桶至少要用多少平方分米的铁皮?它的容积是多少升?(2)要建一个圆柱形状的水池。底面直径4 米,深 1.8 米。要粉刷它的底面和侧面,粉刷面积至少是多少平方米?建成以后的水池最多可以盛水多少立方米d=8 分米h=12 分米d=12 厘米h=15 厘米文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9学习好资料欢迎下载3、学校大厅有4 根圆柱形柱子,每根柱子的底面周长是25.12 分米,高是5 米。如果每平方米需要油漆费0.5 元,那么漆这4 根柱子需要油漆费多少元?4、一个圆锥形的沙堆,底面积是18 平方米,高是1.5 米。如果每立方米的沙重1.6 吨,这堆沙重多少吨?5、有一个圆锥体沙堆,底面积是3.6 平方米,高2 米。将这些沙铺在一个长4 米,宽 2 米的长方体沙坑里,能铺多厚?6、节约用水是我们每个小学生的义务,学校用的自来水管内直径为0.2 分米,自来水的流速,一般为每秒5 分米,如果你忘记关上水龙头,一分你将浪费多少升水?六你真了不起(每题10 分,共 20 分)1、在一个直径是20 厘米的圆柱形容器里,放入一个底面半径3 里米的圆锥形铁块,全部浸没在水中,这是水面上升0.3厘米。圆锥形铁块的高是多少厘米?2、把一根长4 米的圆柱形的钢材截成相等的两段以后,表面积增加了0.28 平方分米,如果每立方分米钢材重7.8 千克,这根钢材重多少千克?文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9学习好资料欢迎下载文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9文档编码:CR3I10G2J10Q2 HG3N4E2H1D3 ZR5E3G3D10R9