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设每支铅笔的价格为x元,根据题意,每本笔记本比每支铅笔贵3元,因此每本笔记本的价格为(x + 3)元。小明买了3支铅笔,总价为3x元;买了2本笔记本,总价为2(x + 3)元。两者相加等于总花费18元,因此方程为:3x + 2(x + 3) = 18。选项A正确。其他选项中,B错误地将笔记本价格设为比铅笔便宜,C和D则颠倒了铅笔和笔记本的数量与单价对应关系,均不符合题意。
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[{"id":1778,"content":"某学生测量了一个三角形的三条边长,分别为 5 cm、12 cm 和 13 cm。他发现这个三角形是直角三角形,因为 5² + 12² = ___²。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"13","explanation":"根据勾股定理,直角三角形中两直角边的平方和等于斜边的平方。计算得 25 + 144 = 169,而 13² = 169,因此空格应填 13。","options":[]},{"id":532,"content":"某班级组织学生参加植树活动,共收集了120棵树苗。如果每行种植6棵树苗,可以种多少行?如果每行多种2棵,即每行种8棵,那么可以少种几行?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"首先计算每行种6棵树苗时,可以种多少行:120 ÷ 6 = 20行。然后计算每行种8棵树苗时,可以种多少行:120 ÷ 8 = 15行。因此,比原来少种了20 - 15 = 5行。所以正确答案是A选项:20行;少种5行。本题考查的是有理数中的除法运算及实际应用,属于简单难度的应用题。","options":[{"id":"A","content":"20行;少种5行"},{"id":"B","content":"18行;少种6行"},{"id":"C","content":"20行;少种4行"},{"id":"D","content":"15行;少种3行"}]},{"id":2310,"content":"某学生在研究轴对称图形时,发现一个等腰三角形的顶角为80°,底边长为6 cm。若将该三角形沿其对称轴对折,则对折后两部分完全重合。请问这个等腰三角形的腰长最接近下列哪个值?(结果保留一位小数)","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"该题考查轴对称与等腰三角形性质的综合应用。已知等腰三角形顶角为80°,则每个底角为(180°−80°)÷2=50°。作底边的高(即对称轴),将底边分为两段,每段长3 cm,并构成两个全等的直角三角形。在其中一个直角三角形中,已知一个锐角为50°,邻边(底边一半)为3 cm,要求斜边(即腰长)。利用余弦函数:cos(50°) = 邻边 \/ 斜边 = 3 \/ 腰长,得腰长 = 3 \/ cos(50°)。查表或计算器得cos(50°)≈0.6428,因此腰长≈3 ÷ 0.6428 ≈ 4.667 cm,保留一位小数约为4.7 cm,最接近选项A的4.6 cm。","options":[{"id":"A","content":"4.6 cm"},{"id":"B","content":"5.2 cm"},{"id":"C","content":"6.8 cm"},{"id":"D","content":"7.4 cm"}]},{"id":390,"content":"某学生调查了班级同学最喜欢的运动项目,收集数据后绘制了条形统计图。图中显示喜欢篮球的人数是12人,占总人数的30%。那么这个班级一共有多少名学生?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"题目中已知喜欢篮球的人数是12人,占总人数的30%。设班级总人数为x,则可列出一元一次方程:30% × x = 12,即0.3x = 12。解这个方程,两边同时除以0.3,得到x = 12 ÷ 0.3 = 40。因此,这个班级一共有40名学生。本题考查了数据的收集、整理与描述以及一元一次方程的应用,属于简单难度。","options":[{"id":"A","content":"36"},{"id":"B","content":"40"},{"id":"C","content":"45"},{"id":"D","content":"48"}]},{"id":873,"content":"在一次班级图书角统计中,某学生记录了五类图书的数量:故事书15本,科普书比故事书少3本,漫画书是科普书的2倍,工具书比漫画书少10本,其余为杂志共8本。若用条形统计图表示这些数据,则漫画书对应的条形高度所代表的数值是____。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"24","explanation":"首先根据题意逐步计算各类图书数量:故事书15本;科普书比故事书少3本,即15 - 3 = 12本;漫画书是科普书的2倍,即12 × 2 = 24本;工具书比漫画书少10本,即24 - 10 = 14本;杂志已知为8本。题目问的是条形统计图中漫画书对应的数值,即其实际数量,因此答案为24。本题考查数据的收集与整理,重点在于理解统计图中各条形代表的具体数值,并进行简单的有理数运算。","options":[]},{"id":1080,"content":"在一次环保活动中,某学生收集了可回收垃圾和不可回收垃圾共12千克,其中可回收垃圾比不可回收垃圾多4千克。设不可回收垃圾为x千克,则可列出一元一次方程为:______。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"x + (x + 4) = 12","explanation":"设不可回收垃圾为x千克,根据题意,可回收垃圾比不可回收垃圾多4千克,因此可回收垃圾为(x + 4)千克。两者总重量为12千克,所以方程为x + (x + 4) = 12。该题考查一元一次方程的实际建模能力,属于简单难度。","options":[]},{"id":182,"content":"小明在文具店买了一支钢笔和一本笔记本,共花费18元。已知钢笔的价格是笔记本价格的2倍,那么笔记本的价格是多少元?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"设笔记本的价格为x元,则钢笔的价格为2x元。根据题意,钢笔和笔记本共花费18元,可列出方程:x + 2x = 18,即3x = 18。解得x = 6。因此,笔记本的价格是6元。选项A正确。","options":[{"id":"A","content":"6元"},{"id":"B","content":"9元"},{"id":"C","content":"12元"},{"id":"D","content":"3元"}]},{"id":272,"content":"在一次班级调查中,某学生记录了10名同学每天用于课外阅读的时间(单位:分钟),数据如下:25,30,35,40,40,45,50,55,60,65。这组数据的中位数和众数分别是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先将数据按从小到大顺序排列(已排好):25,30,35,40,40,45,50,55,60,65。共有10个数据,为偶数个,因此中位数是第5个和第6个数据的平均数,即(40 + 45) ÷ 2 = 85 ÷ 2 = 42.5。众数是出现次数最多的数,其中40出现了两次,其余数均只出现一次,因此众数是40。所以正确答案是A。","options":[{"id":"A","content":"中位数是42.5,众数是40"},{"id":"B","content":"中位数是40,众数是42.5"},{"id":"C","content":"中位数是45,众数是40"},{"id":"D","content":"中位数是40,众数是45"}]},{"id":890,"content":"在一次班级环保活动中,某学生收集了12.5千克废纸,另一名同学收集的废纸比这名学生多3.7千克,两人一共收集了___千克废纸。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"28.7","explanation":"首先,第二名同学收集的废纸重量为12.5 + 3.7 = 16.2千克。然后将两人收集的废纸重量相加:12.5 + 16.2 = 28.7千克。因此,两人一共收集了28.7千克废纸。本题考查的是有理数的加法运算,属于简单难度,符合七年级有理数知识点要求。","options":[]},{"id":334,"content":"90°","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"答案待完善","explanation":"解析待完善","options":[]}]