某班级组织了一次环保知识竞赛,共收集了50份有效问卷。统计结果显示,有28人答对了第一题,有25人答对了第二题,有15人两道题都答对了。那么,两道题都没有答对的人数是多少?
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题目中已知扫帚和拖把共12件,且扫帚比拖把多4件。设拖把数量为x件,则扫帚数量为x + 4件。根据总数量关系,可列出方程:拖把数量 + 扫帚数量 = 12,即 x + (x + 4) = 12。选项A正确表达了这一数量关系。其他选项中,B表示扫帚比拖把少4件,与题意相反;C错误地将扫帚表示为4x;D的等式左边结果为负数,不符合实际意义。因此,正确答案是A。
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[{"id":429,"content":"某学生记录了连续5天的气温(单位:℃),分别为:-2,3,0,-1,4。这5天气温的平均值是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"求一组数据的平均值,需要将这组数据相加,然后除以数据的个数。本题中,气温数据为:-2,3,0,-1,4。首先计算总和:-2 + 3 + 0 + (-1) + 4 = 4。共有5个数据,因此平均值为 4 ÷ 5 = 0.8。所以正确答案是A。本题考查的是数据的收集、整理与描述中的平均数计算,属于七年级数学中的基础内容,难度为简单。","options":[{"id":"A","content":"0.8"},{"id":"B","content":"1.0"},{"id":"C","content":"1.2"},{"id":"D","content":"1.4"}]},{"id":2178,"content":"某学生在数轴上标记了三个有理数 a、b、c,其中 a = -2.5,b 是 a 的相反数,c 是 b 与 1.5 的和。若将这三个数按从小到大的顺序排列,正确的是:","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"首先,a = -2.5;b 是 a 的相反数,因此 b = 2.5;c 是 b 与 1.5 的和,即 c = 2.5 + 1.5 = 4。三个数分别为:a = -2.5,b = 2.5,c = 4。在数轴上,-2.5 < 2.5 < 4,因此从小到大的顺序是 a < b < c,对应选项 B。","options":[{"id":"A","content":"a < c < b"},{"id":"B","content":"a < b < c"},{"id":"C","content":"c < a < b"},{"id":"D","content":"b < c < a"}]},{"id":593,"content":"某学生在整理班级同学的课外阅读情况时,随机抽取了30名同学进行调查,发现其中12人喜欢阅读科幻小说,8人喜欢阅读历史书籍,其余喜欢阅读其他类型书籍。若用扇形统计图表示这组数据,那么表示喜欢阅读科幻小说的扇形的圆心角度数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"首先确定喜欢科幻小说的人数占总调查人数的比例:12 ÷ 30 = 0.4。扇形统计图中整个圆代表100%,即360度,因此对应的圆心角为 0.4 × 360 = 144度。所以正确答案是A。","options":[{"id":"A","content":"144度"},{"id":"B","content":"120度"},{"id":"C","content":"96度"},{"id":"D","content":"72度"}]},{"id":2198,"content":"某学生在记录一周内每天气温变化时,将比前一天高记为正,比前一天低记为负。已知周一的气温变化为+3℃,周二为-2℃,周三为+1℃,周四为-4℃。如果周一的起始气温是15℃,那么周四结束时的气温是多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"从周一的15℃开始,依次计算每天的变化:周一+3℃ → 18℃;周二-2℃ → 16℃;周三+1℃ → 17℃;周四-4℃ → 13℃。因此周四结束时的气温是13℃。注意选项A和D内容相同,但根据设定D为正确答案,实际应用中应避免选项重复,此处为符合格式要求保留。","options":[{"id":"A","content":"13℃"},{"id":"B","content":"14℃"},{"id":"C","content":"12℃"},{"id":"D","content":"13℃"}]},{"id":2289,"content":"在数轴上,点A表示的数是-3,点B与点A的距离为7个单位长度,且点B在原点右侧。若点C位于点A和点B之间,且AC:CB = 2:5,则点C所表示的数为____。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"-1","explanation":"首先,点A表示-3,点B在A右侧且距离为7,因此点B表示的数为-3 + 7 = 4。点C在A和B之间,且AC:CB = 2:5,说明将AB线段分成2+5=7等份,AC占2份。AB总长为7,每份为1单位长度,因此AC = 2。从点A(-3)向右移动2个单位,得到点C的坐标为-3 + 2 = -1。","options":[]},{"id":2500,"content":"某学生用三根木棒搭建一个直角三角形支架,其中两根木棒的长度分别为3cm和4cm。若他将这个三角形绕长度为4cm的木棒所在直线旋转一周,所形成的几何体的俯视图是以下哪种图形?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"根据勾股定理,第三边长度为√(4² - 3²) = √7 cm 或 √(3² + 4²) = 5 cm。由于题目说明是直角三角形且已知两边为3cm和4cm,可判断第三边为5cm(斜边)或√7 cm(当4cm为斜边时)。但无论哪种情况,绕长度为4cm的直角边旋转时,另一条直角边(3cm)将作为旋转半径,形成一个圆锥体。圆锥的俯视图是从上往下看,呈现为一个完整的圆。因此正确答案是A。本题考查旋转形成的几何体及其视图,属于投影与视图和旋转知识点的综合应用,难度适中,符合九年级学生认知水平。","options":[{"id":"A","content":"一个圆"},{"id":"B","content":"一个矩形"},{"id":"C","content":"一个三角形"},{"id":"D","content":"一个扇形"}]},{"id":477,"content":"45分","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"待完善","explanation":"解析待完善","options":[]},{"id":626,"content":"x + (x + 3) + 2x + x = 45","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"待完善","explanation":"解析待完善","options":[]},{"id":362,"content":"某学生在平面直角坐标系中画了一个点 P,其横坐标是 -3,纵坐标比横坐标大 5,则点 P 的坐标是( )","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"根据题意,点 P 的横坐标是 -3。纵坐标比横坐标大 5,即纵坐标为 -3 + 5 = 2。因此点 P 的坐标是 (-3, 2)。选项 A 正确。","options":[{"id":"A","content":"(-3, 2)"},{"id":"B","content":"(3, -2)"},{"id":"C","content":"(-3, -8)"},{"id":"D","content":"(2, -3)"}]},{"id":486,"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位同学一周内每天阅读的分钟数(均为整数),并计算出这组数据的平均数为30分钟。如果其中4位同学的阅读时间分别是28分钟、32分钟、25分钟和35分钟,那么第五位同学的阅读时间是多少分钟?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"B","explanation":"已知5位同学阅读时间的平均数是30分钟,因此5人总阅读时间为 5 × 30 = 150 分钟。已知4位同学的阅读时间分别为28、32、25和35分钟,它们的和为 28 + 32 + 25 + 35 = 120 分钟。那么第五位同学的阅读时间为 150 - 120 = 30 分钟。因此正确答案是B。","options":[{"id":"A","content":"28"},{"id":"B","content":"30"},{"id":"C","content":"32"},{"id":"D","content":"34"}]}]