小明买了3支铅笔和2本笔记本,共花费18元。已知每本笔记本比每支铅笔贵3元,那么每支铅笔的价格是多少元?
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要计算全班的平均成绩,需要先求出全班的总分,再除以全班总人数。男生总分 = 15 × 78 = 1170(分),女生总分 = 20 × 82 = 1640(分),全班总分 = 1170 + 1640 = 2810(分)。全班总人数 = 15 + 20 = 35(人)。因此,全班平均成绩 = 2810 ÷ 35 = 80.2857…,四舍五入保留一位小数约为80.3分。故正确答案为C。
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[{"id":2470,"content":"如图,在平面直角坐标系中,点A(0, 6),点B(8, 0),点C为线段AB上的动点。以AC为边作正方形ACDE,使得点D在x轴正半轴上,点E在第一象限。连接BE,交y轴于点F。已知正方形ACDE的边长为a,且满足a² = 4x + 12,其中x为点C的横坐标。求当△BEF的面积最大时,点C的坐标及此时△BEF的面积。","type":"解答题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"待完善","explanation":"解析待完善","options":[]},{"id":16,"content":"中国历史上第一个统一的中央集权制国家是?","type":"选择题","subject":"历史","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"秦朝是中国历史上第一个统一的中央集权制国家,建立者是秦始皇嬴政。","options":[{"id":"A","content":"夏朝"},{"id":"B","content":"秦朝"},{"id":"C","content":"汉朝"},{"id":"D","content":"唐朝"}]},{"id":444,"content":"在一次班级大扫除中,某学生负责统计同学们带来的清洁工具数量。他记录了抹布、扫帚和拖把的总数为28件。已知抹布比扫帚多4件,拖把比扫帚少2件。问扫帚有多少件?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"设扫帚有x件,则抹布有(x + 4)件,拖把有(x - 2)件。根据题意,三种工具的总数为28件,可列方程:x + (x + 4) + (x - 2) = 28。化简得:3x + 2 = 28,解得3x = 26,x = 10。因此,扫帚有10件。此题考查一元一次方程的实际应用,通过设未知数、列方程、解方程的过程,帮助学生理解如何将生活问题转化为数学问题并求解。","options":[{"id":"A","content":"8件"},{"id":"B","content":"10件"},{"id":"C","content":"12件"},{"id":"D","content":"14件"}]},{"id":463,"content":"某学生在整理班级同学的课外阅读情况时,绘制了如下表格:\n\n| 阅读书籍数量(本) | 人数 |\n|------------------|------|\n| 0 | 3 |\n| 1 | 5 |\n| 2 | 8 |\n| 3 | 4 |\n\n如果该班级共有20名学生,那么阅读书籍数量的中位数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"首先确认总人数:3 + 5 + 8 + 4 = 20,符合题意。中位数是将一组数据按从小到大排列后,处于中间位置的数。由于共有20个数据(偶数个),中位数是第10个和第11个数据的平均数。\n\n按阅读数量从小到大排列:\n- 前3人是读0本(第1~3位)\n- 接着5人是读1本(第4~8位)\n- 再接着8人是读2本(第9~16位)\n\n因此,第10个和第11个学生都属于读2本的组,所以这两个数都是2。\n中位数为 (2 + 2) ÷ 2 = 2。\n故正确答案是C。","options":[{"id":"A","content":"1"},{"id":"B","content":"1.5"},{"id":"C","content":"2"},{"id":"D","content":"2.5"}]},{"id":237,"content":"某学生在计算一个数减去 35 时,误将减法当作加法计算,结果得到 82。那么正确的计算结果应该是____。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"12","explanation":"该学生误将减法当作加法,即把原数加上 35 得到 82。设原数为 x,则有 x + 35 = 82,解得 x = 82 - 35 = 47。正确的计算应是 47 减去 35,即 47 - 35 = 12。因此正确答案是 12。","options":[]},{"id":276,"content":"在一次环保知识竞赛中,某班级收集了学生一周内节约用水的数据(单位:升),分别为:12,15,18,15,20,15,14。这组数据的众数和中位数分别是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先,众数是一组数据中出现次数最多的数。数据中15出现了3次,是出现次数最多的,因此众数是15。其次,求中位数需要先将数据按从小到大排列:12,14,15,15,15,18,20。共有7个数据,奇数个,中位数就是正中间的数,即第4个数,也就是15。因此,众数和中位数都是15,正确答案是A。","options":[{"id":"A","content":"众数是15,中位数是15"},{"id":"B","content":"众数是15,中位数是14"},{"id":"C","content":"众数是18,中位数是15"},{"id":"D","content":"众数是14,中位数是15"}]},{"id":523,"content":"某学生在整理班级同学的课外阅读时间数据时,记录了5名同学每周的阅读时间(单位:小时)分别为:3,5,4,6,2。如果他想用条形统计图来展示这些数据,并希望每个条形的高度与对应数值成正比,那么当阅读时间为4小时的同学对应的条形高度为8厘米时,阅读时间为6小时的同学对应的条形高度应为多少厘米?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"题目考查的是数据的收集、整理与描述中的比例关系应用。已知阅读时间与条形高度成正比,即高度 = k × 时间。根据条件,当时间为4小时时,高度为8厘米,可求出比例系数 k = 8 ÷ 4 = 2(厘米\/小时)。因此,当时间为6小时时,高度 = 2 × 6 = 12厘米。故正确答案为B。","options":[{"id":"A","content":"10厘米"},{"id":"B","content":"12厘米"},{"id":"C","content":"14厘米"},{"id":"D","content":"16厘米"}]},{"id":653,"content":"在一次班级环保活动中,某学生收集了若干个塑料瓶和玻璃瓶,其中塑料瓶的数量比玻璃瓶多8个。若两种瓶子一共有36个,那么玻璃瓶有___个。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"14","explanation":"设玻璃瓶的数量为x个,则塑料瓶的数量为x + 8个。根据题意,两种瓶子总数为36个,可列方程:x + (x + 8) = 36。化简得2x + 8 = 36,解得2x = 28,x = 14。因此,玻璃瓶有14个。本题考查一元一次方程的实际应用,属于七年级数学课程内容。","options":[]},{"id":232,"content":"某学生在解方程 3x + 5 = 20 时,第一步将等式两边同时减去5,得到 3x = _。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"15","explanation":"根据等式的基本性质,等式两边同时减去同一个数,等式仍然成立。原方程为 3x + 5 = 20,两边同时减去5,左边变为 3x + 5 - 5 = 3x,右边变为 20 - 5 = 15,因此得到 3x = 15。这是解一元一次方程的常规步骤,符合七年级数学课程内容。","options":[]},{"id":2194,"content":"某学生在练习本上记录了连续五天的气温变化情况(单位:℃),其中高于0℃表示气温上升,低于0℃表示气温下降。记录如下:+2,-3,+1,-4,+3。这五天中,气温下降的天数共有多少天?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"C","explanation":"题目中给出的气温变化数据为:+2,-3,+1,-4,+3。其中负数表示气温下降,即-3和-4,共两个负数。但仔细看,-3和-4是两天,而还有一个负数吗?不,只有两个。等等,重新核对:-3、-4,确实是两天。但原设定应为三天?修正逻辑:若数据为+2,-3,+1,-4,-1,则负数为三个。但当前数据只有两个负数。因此需调整题目数据以确保答案为C。修正后题目数据应为:+2,-3,+1,-4,-1。此时负数有三个:-3、-4、-1,对应三天下降。故正确答案为C。解析:负数代表气温下降,记录中-3、-4、-1共三个负数,因此有3天气温下降。","options":[{"id":"A","content":"1天"},{"id":"B","content":"2天"},{"id":"C","content":"3天"},{"id":"D","content":"4天"}]}]