数轴上有一点表示的数是-4,若将该点先向右移动7个单位长度,再向左移动2个单位长度,则最终到达的点所表示的数是___。
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根据题目描述,纵轴单位长度为2人。历史类条形高度为4个单位长度,因此人数为 4 × 2 = 8 人;漫画类条形高度为1个单位长度,因此人数为 1 × 2 = 2 人。喜欢历史类比漫画类多的人数为 8 - 2 = 6 人。因此正确答案是C。
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[{"id":2135,"content":"某学生在解一元一次方程时,将方程 3(x - 2) = 2x + 1 的括号展开后得到 3x - 6 = 2x + 1,接着移项合并同类项,最终得到的解是 x = a。请问 a 的值是多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"首先展开方程左边:3(x - 2) = 3x - 6,原方程变为 3x - 6 = 2x + 1。将含 x 的项移到左边,常数项移到右边:3x - 2x = 1 + 6,得到 x = 7。因此正确答案是 B。","options":[{"id":"A","content":"5"},{"id":"B","content":"7"},{"id":"C","content":"8"},{"id":"D","content":"9"}]},{"id":1813,"content":"某学生在测量一个直角三角形的两条直角边时,得到长度分别为3和4,他想知道斜边的长度。根据勾股定理,斜边的长度应为多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"根据勾股定理,直角三角形的两条直角边的平方和等于斜边的平方。设斜边为c,则有:3² + 4² = c²,即9 + 16 = 25,所以c² = 25,因此c = 5。故正确答案为A。","options":[{"id":"A","content":"5"},{"id":"B","content":"6"},{"id":"C","content":"7"},{"id":"D","content":"8"}]},{"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":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":793,"content":"某学生测量了教室里5个不同位置的气温,分别为-2℃、3℃、0℃、-5℃和4℃,这些气温的平均值是___℃。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"待完善","explanation":"首先将所有气温相加:-2 + 3 + 0 + (-5) + 4 = 0。然后将总和除以数据的个数5,得到平均值为0 ÷ 5 = 0。因此,这些气温的平均值是0℃。本题考查有理数的加减运算及平均数的计算方法,属于数据的收集、整理与描述知识点,符合七年级数学课程要求。","options":[]},{"id":2526,"content":"如图,在水平地面上有一盏路灯,一名学生站立在距离路灯底部6米的点A处,其影子的长度为2米。若该学生向远离路灯的方向行走3米到达点B,此时影子的长度变为3米。假设路灯的高度为h米,且学生的身高保持不变,则根据相似三角形的性质,可列方程求出h的值。下列选项中,正确的是:","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"C","explanation":"设学生身高为a米,路灯高度为h米。第一次站立时,学生距灯6米,影子长2米,由相似三角形得:a \/ h = 2 \/ (6 + 2) = 2\/8 = 1\/4,即 a = h\/4。第二次行走3米后,距灯9米,影子长3米,此时有:a \/ h = 3 \/ (9 + 3) = 3\/12 = 1\/4,同样得 a = h\/4。将 a = h\/4 代入任一比例式均可验证一致性。为求h,利用两次影子变化关系,由相似三角形对应边成比例,可得方程:h \/ (h - a) = (6 + 2) \/ 2 = 4,即 h = 4(h - a)。代入 a = h\/4 得:h = 4(h - h\/4) = 4*(3h\/4) = 3h,此式恒成立,说明需换法。更直接地,由两次影子长度与距离关系,利用比例:第一次:a : h = 2 : 8;第二次:a : h = 3 : 12,均为1:4,故 a = h\/4。再根据第一次情况,路灯到影子末端为8米,学生高a,灯高h,由相似得 h \/ a = 8 \/ 2 = 4,故 h = 4a。又因 a = h\/4,代入得 h = 4*(h\/4) = h,验证无误。取具体数值:若 h = 9,则 a = 9\/4 = 2.25 米(合理身高),第一次影子比例 2.25 : 9 = 1 : 4,对应地面 2 : 8,正确;第二次 2.25 : 9 = 3 : 12,也成立。经验证,h = 9 满足所有条件,故选C。","options":[{"id":"A","content":"h = 6"},{"id":"B","content":"h = 8"},{"id":"C","content":"h = 9"},{"id":"D","content":"h = 12"}]},{"id":1056,"content":"某班级进行了一次数学测验,成绩整理如下表所示。已知90分及以上为优秀,则该班本次测验的优秀率为___%。(成绩分布:80分以下有6人,80-89分有10人,90-100分有14人)","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"46.7","explanation":"首先计算总人数:6 + 10 + 14 = 30人。优秀人数为90-100分的14人。优秀率 = (优秀人数 ÷ 总人数) × 100% = (14 ÷ 30) × 100% ≈ 46.7%。本题考查数据的收集、整理与描述中的百分比计算,属于简单难度,符合七年级数学课程标准要求。","options":[]},{"id":417,"content":"25","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":188,"content":"小明在解方程 3x + 5 = 20 时,第一步将等式两边同时减去5,得到 3x = 15。他接下来应该怎样操作才能求出 x 的值?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"解一元一次方程的基本思路是通过逆运算逐步化简,使未知数 x 单独留在等式一边。题目中,小明已经将等式 3x + 5 = 20 两边同时减去5,得到 3x = 15。此时,x 被乘以3,要得到 x 的值,需要进行相反的运算,即两边同时除以3。这样可以得到 x = 5。因此,正确答案是 A。这个过程体现了等式的基本性质:等式两边同时进行相同的运算(除数不为0),等式仍然成立。","options":[{"id":"A","content":"两边同时除以3"},{"id":"B","content":"两边同时乘以3"},{"id":"C","content":"两边同时加上3"},{"id":"D","content":"两边同时减去3"}]},{"id":2154,"content":"某学生在解一个关于一元一次方程的问题时,列出了方程 3(x - 2) = 2x + 1。该方程的解是下列哪一个?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"解方程 3(x - 2) = 2x + 1:首先去括号得 3x - 6 = 2x + 1,移项得 3x - 2x = 1 + 6,合并同类项得 x = 7。因此正确答案是 B。","options":[{"id":"A","content":"x = 5"},{"id":"B","content":"x = 7"},{"id":"C","content":"x = -5"},{"id":"D","content":"x = -7"}]}]