2022年云南省中考数学试卷及答案解析.pdf

2017 年云南省中考数学试卷(解析版)（全卷三个大题，共23 个小题；满分120 分）一、填空题（本大题共6 个小题，每小题3 分，共 18 分）12 的相反数是 _.【考点】相反数【答案】-2；2已知关于x 的方程2501,xxaxa已知关于 的方程的解是则 的值为_【考点】方程的解【答案】-7 3.如图，在 ABC中，D、E分别为 AB，AC上的点，若DE BC，AD13AB，则AD+DE+AE=AB+BC+AC_.【考点】相似三角形，等比性质【解析】等比性质aceacekkbdfbdf若，则等比性质的原理是,abk,cdk,efkacekbdf设则acebkdkfkkbdfbdf，故本题答案为134.9_.xx使有意义的的取值范围为【考点】二次根式【答案】9x5.如图，边长为4 的正方形ABCD 外切于圆O，切点分别为E、F、G、H，则图中阴影部分的面积为_.【考点】多边形内切圆，切线长定理。阴影部分面积【解析】方法很多，又是选择题，要求没有那么严谨，只要看出分割，就可以完成【答案】426.5(,)yA a bx已知点在双曲线上，若 a、b都是正整数，则图像经过B(a,0)C(0,b)、两点的一次函数的解析式（也称关系式）为_.【考点】反比例函数，一次函数，待定系数法【解析】因为5(,)yA a bx点在双曲线上，所以 ab=5 又因为 a、b 都是正整数，所以1551aabb或所以分两种情况：B（1,0），C（0,5），由此可得一次函数解析式为55yxB（5,0），C（0,1），由此可得一次函数解析式为155yx二、选则题（本大题共8 个小题，每小题只要一个正确选项，每小题4 分，共 32 分）7作为世界文化遗产的长城，其总长大约为6700000m，将 6700000 用科学计数法表示为（）A56.710B.66.710C.70.67 10D.867 10【考点】科学计算法【答案】选B 文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T78下面长方体的主视图（主视图也称正视图）是（）【考点】三视图【答案】选C 9下列计算正确的是（）A236aaaB.3326aaC.623aaaD.326()aa【考点】整式乘除、幂的性质【答案】选D 10.若一个多边形的内角和为900，则这个多边形是（）A.五边形 B.六边形 C.七边形 D.八边形【考点】多边形内角和【答案】选C 11.sin60的值为（）A3B.32C.22D.12【考点】特殊角三角函数【答案】选B 12.下列说法正确的是（）A要了解某公司生产的100 万只灯泡的使用寿命，可以采用抽样调查的方法B4 为同学的数学期末成绩分别为100、95、105、110，则这四位同学数学期末成绩的中位数为100 C甲乙两人各自跳远10 次，若他们跳远成绩的平均数相同，甲乙跳远成绩的方差分别为0.51 和文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T70.62，则乙的表现较甲更稳定D.某次抽奖活动中，中奖的概率为150表示每抽奖50 次就有一次中奖【考点】统计概率小综合【解析】B 选项中位数应为102.5；C 选项根据方差甲更稳定；D 这种事情是常识大家都懂，故选 A 13.正如我们小学学过的圆锥体积公式213Vr h（表示圆周率，r表示圆锥的底面半径，h表示圆锥的高）一样，许多几何量的计算都要用到.祖冲之是世界上第一个把计算到小数点后第7 位的中国古代科学家，创造了当时世界上的最高水平，差不多过了1000 年，才有人把计算得更精确。在辉煌的成就背后，我们来看看祖冲之付出了多少，现在研究表明，仅仅就计算来讲，他至少要对9 位数字反复进行130 次以上的各种运算，包括开方在内。即使今天我们用纸笔来算，也绝不是一件轻松的事情，何况那时候没有现在的纸笔，数学计算不是用现代的阿拉伯数字，而是用算筹（小竹棍或小竹片）进行的，这需要怎样的细心和毅力啊！他这种严谨治学的态度，不怕复杂计算的毅力，值得我们学习。下面我们就来通过计算解决问题，已知圆锥的侧面展开图是个半圆，若该圆锥的体积等于9 3，则这个圆锥的高等于（）A5 3B.5 3C.3 3D.3 3【考点】祖冲之的故事，并对他不怕复杂计算的毅力致敬！圆锥体积，扇形、弧长公式【解析】法一：如图，设圆锥高为h，底面圆半径为r，则母线=22hr底面圆周长为2 r，而展开图中扇形半径=母线=22hr，并且展开图中弧长为2 r故222 rhr22222234319 3,81 33rhrhrr hh文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7到了这一步，同学就傻了，可以算，但现在你不一定会，另外你可以用答案去检验h 的值算一下，348933993333333333 3hh法二：利用一个结论，圆锥展开图如果是半圆，那么圆锥的母线是底面半径的2 倍。这个方法可以先算出223,3hrhr从而再利用219 33r h，算出3r，进一步可得3 3h14如图，B、C 是圆 A 上的两点，AB 的垂直平分线与圆A 交于 E、F 两点，与线段 AC 交于 D 点，若 BFC=20 ，则 DBC=（）A30 B.29 C.28 D.20【考点】圆周角，中垂线，等腰三角形【解析】A=2BFC=40,因为 AB=AC，所以 ABC=70,因为 EF是 AB中垂线，所以DA=DB 所以 ABD=40，DBC=30 故选 A三、解答题（本大题共9 小题，共70 分）15.（本小题满分6 分）如图，点E、C 在线段 BF 上，BE=CF，AB=DE，AC=DF.文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7求证：ABC=DEF【考点】全等三角形判定性质【解析】这道题大家都会，证明全等由全等性质可得角等16（本小题满分6 分）观察下列各个等式的规律：第一个等式：2221112，第二个等式：2232122第三个等式：2243132,请用上述等式反映出的规律解决下列问题：（1）直接写出第四个等式；（2）猜想第n 个等式（用n 的代数式表示），并证明你猜想的等式是正确的。【考点】规律探索，体现了归纳猜想能力【解析】（1）第四个等式为：2254142；（2）第 n 个等式22(1)12nnn证明：左边=22211222nnnnn所以左边=右边，等式成立。文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T717、（本小题满分8 分）某初级中学正在开展“文明城市创建人人参与，志愿服务我当先行”的“创文活动”，为了了解该校志愿者参与服务情况，现对该校全体志愿者进行随机抽样调查，根据调查数据绘制了如下所示不完整统计图，条形统计图中七年级、八年级、九年级、教师分别指七年级、八年级、九年级、教师志愿者中被抽到的志愿者，扇形统计图中的百分数指的是该年级被抽到的志愿者数与样本容量的比。（1）请补全条形统计图（2）若该校共有志愿者600 人，则该校九年级大约有多少志愿者？【考点】统计图，估计【解析】（1）总人数为50 人，则八年级人数为15 人，九年级人数为10 人（图略）；（2）60020%=120（人）答：该校九年级大约有120 名志愿者。18.（本小题满分6 分）某商店用1000 元人民币购进水果销售，过了一段时间，又用2400 元人民币购进这种水果，所购数量是第一次购进数量的2 倍，但每千克的价格比第一次购进的贵了2 元。（1）该商店第一次购进水果多少千克？（2）假设该商店两次购进的水果按相同的标价销售，最后剩下的20 千克按标价的五折优惠销售，若两次购进水果全部售完，利润不低于950 元，则每千克水果的标价至少是多少元？文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7文档编码:CJ2V1J3M1D9 HC6N3A3I7X6 ZH2R6P5K10T7注：每千克水果的销售利润等于每千克水果的销售价格与每千克水果的购进价格的差，两批水果全部售完的利润等于两次购进水果的销售利润之和。【解析】（1）设该商店第一次购进水果x 千克2400100022xx解得：x=100 经检验 x=100 是原方程的解所以2x=200 答：该商店第一次购进水果100 千克.（2）设每千克水果的标价是y 元，则(30020)200