在一次数学实践活动中,某学生测量了一块等腰三角形花坛的两条腰长均为5米,底边上的高为4米。若要在花坛中铺设一条从顶点到底边中点的装饰带,则这条装饰带的长度为____米。
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首先计算四种垃圾的总重量:12.5 + 8.3 + 4.7 + 6.5 = 32.0(千克)。题目要求将总重量四舍五入到个位,32.0四舍五入后仍为32千克。接着计算平均重量:32 ÷ 4 = 8.0(千克),保留一位小数即为8.0。因此正确答案是C。本题考查了有理数的加法、四舍五入规则以及平均数的计算,属于数据的收集、整理与描述知识点,难度为简单。
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[{"id":393,"content":"159.5","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":[]},{"id":521,"content":"某学生在整理班级同学的身高数据时,随机抽取了10名同学的身高(单位:厘米),分别为:152, 155, 158, 160, 162, 163, 165, 168, 170, 172。如果他想用这组数据估算全班同学的平均身高,那么这组数据的平均数最接近以下哪个数值?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"要计算这组数据的平均数,需将所有身高相加后除以人数。计算过程如下:152 + 155 + 158 + 160 + 162 + 163 + 165 + 168 + 170 + 172 = 1625。然后将总和1625除以10人,得到平均数为162.5厘米。题目要求选择最接近的数值,162.5最接近162,因此正确答案是B。本题考查的是数据的收集、整理与描述中的平均数计算,属于简单难度,符合七年级数学课程要求。","options":[{"id":"A","content":"160"},{"id":"B","content":"162"},{"id":"C","content":"164"},{"id":"D","content":"166"}]},{"id":150,"content":"已知一个三角形的两边长分别为3厘米和7厘米,第三边的长度可能是多少厘米?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"根据三角形三边关系定理:任意两边之和大于第三边,任意两边之差小于第三边。设第三边为x,则有7 - 3 < x < 7 + 3,即4 < x < 10。选项中只有5厘米满足这个范围,因此正确答案是B。","options":[{"id":"A","content":"3厘米"},{"id":"B","content":"5厘米"},{"id":"C","content":"10厘米"},{"id":"D","content":"11厘米"}]},{"id":358,"content":"在一次班级数学测验中,某学生记录了5名同学的数学成绩(单位:分)分别为:82,76,90,88,84。为了分析整体情况,该学生需要计算这组数据的平均数。请问这组数据的平均数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"计算平均数的方法是将所有数据相加,然后除以数据的个数。首先将5个成绩相加:82 + 76 + 90 + 88 + 84 = 420。然后将总和除以人数5:420 ÷ 5 = 84。因此,这组数据的平均数是84分,正确答案是B。","options":[{"id":"A","content":"82分"},{"id":"B","content":"84分"},{"id":"C","content":"86分"},{"id":"D","content":"88分"}]},{"id":18,"content":"世界上面积最大的洲是?","type":"选择题","subject":"地理","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"亚洲是世界上面积最大、人口最多的大洲。","options":[{"id":"A","content":"亚洲"},{"id":"B","content":"非洲"},{"id":"C","content":"北美洲"},{"id":"D","content":"南美洲"}]},{"id":286,"content":"某学生在平面直角坐标系中画了一个点,该点的横坐标是3,纵坐标是-2。若将该点先向右平移4个单位,再向下平移3个单位,则平移后的点的坐标是?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"原点的坐标为(3, -2)。向右平移4个单位,横坐标增加4,即3 + 4 = 7;再向下平移3个单位,纵坐标减少3,即-2 - 3 = -5。因此,平移后的点的坐标是(7, -5)。选项A正确。","options":[{"id":"A","content":"(7, -5)"},{"id":"B","content":"(7, 1)"},{"id":"C","content":"(-1, -5)"},{"id":"D","content":"(-1, 1)"}]},{"id":2191,"content":"某学生在记录一周内每天气温变化时,发现某天的气温比前一天上升了3℃,记作+3℃。如果第二天的气温比第一天下降了5℃,那么第二天的气温变化应记作多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"气温下降应使用负数表示。题目中明确指出气温比第一天下降了5℃,因此变化量应记为-5℃。正数表示上升,负数表示下降,符合七年级正负数在现实情境中的应用知识点。","options":[{"id":"A","content":"+5℃"},{"id":"B","content":"-3℃"},{"id":"C","content":"+2℃"},{"id":"D","content":"-5℃"}]},{"id":2409,"content":"某学生在研究一个实际问题时,发现一个等腰三角形的底边长为6,两腰长均为5。他\/她想通过构造一条对称轴来简化分析,于是作底边的垂直平分线,交两腰于点D和E。若将该三角形沿这条对称轴折叠,则两个腰完全重合。现在,该学生想计算这条对称轴上从顶点到底边中点的距离,这个距离等于多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"本题考查等腰三角形的轴对称性质与勾股定理的综合应用。已知等腰三角形底边为6,两腰为5。作底边的垂直平分线,即为对称轴,它通过顶点且垂直于底边,交底边于中点M。设顶点为A,底边两端点为B、C,则BM = MC = 3。在直角三角形AMB中,AB = 5,BM = 3,由勾股定理得:AM² = AB² - BM² = 25 - 9 = 16,因此AM = √16 = 4。这条对称轴上从顶点到底边中点的距离即为高AM,等于4。选项B正确。","options":[{"id":"A","content":"√7"},{"id":"B","content":"4"},{"id":"C","content":"√13"},{"id":"D","content":"2√3"}]},{"id":2314,"content":"在一次校园绿化项目中,工人师傅用一根长度为12米的篱笆围成一个一边靠墙的矩形花圃(靠墙的一边不需要篱笆),为了使花圃面积最大,长和宽应分别为多少米?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"设靠墙的一边为长,长度为x米,则与墙垂直的两边(宽)各为(12 - x) ÷ 2米。花圃面积S = x × ((12 - x) ÷ 2) = (12x - x²) ÷ 2 = -½x² + 6x。这是一个关于x的二次函数,其图像为开口向下的抛物线,最大值出现在顶点处。顶点横坐标为x = -b\/(2a) = -6 \/ (2 × (-½)) = 6。因此当长为6米时,宽为(12 - 6) ÷ 2 = 3米,此时面积最大为18平方米。选项A符合这一结果,故选A。","options":[{"id":"A","content":"长为6米,宽为3米"},{"id":"B","content":"长为8米,宽为2米"},{"id":"C","content":"长为5米,宽为3.5米"},{"id":"D","content":"长为4米,宽为4米"}]},{"id":570,"content":"某学生在整理班级同学最喜欢的课外活动调查数据时,制作了如下频数分布表:阅读(12人),运动(18人),音乐(15人),绘画(10人),其他(5人)。如果要将这些数据用扇形统计图表示,那么表示‘运动’这一项的扇形圆心角的度数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先计算总人数:12 + 18 + 15 + 10 + 5 = 60人。‘运动’所占比例为18 ÷ 60 = 0.3。扇形统计图中整个圆为360度,因此‘运动’对应的圆心角为0.3 × 360 = 108度。故正确答案为A。","options":[{"id":"A","content":"108度"},{"id":"B","content":"120度"},{"id":"C","content":"90度"},{"id":"D","content":"72度"}]}]