乘法表

乘法表把 1~9 的乘积排成方阵：行是第一个因数、列是第二个因数，交叉格里就是乘积。切到 1~12 可以覆盖范围更大的练习，也方便对照十二进制口径的题目。 The multiplication table lays products out as a square: rows are the first factor, columns the second, and each cell holds the product. Switch to 1 to 12 for wider drills.

主要功能上，可以在 1~9 与 1~12 两种范围之间切换；点「隐藏答案」后格子变成问号，适合让孩子先回忆再核对；悬停或点选某一格会高亮对应的整行整列，顺着看就能读出整句口诀；45 句小九九可以整段复制，贴进练习本、课件或聊天窗口。 Two ranges are available, 1 to 9 and 1 to 12. Hide answers turns cells into question marks for recall practice, hovering highlights the matching row and column so a whole chant line reads at a glance, and the 45 chants copy as one block for workbooks or slides.

优势亮点是把「结构」直接摆出来：孩子看到的不是一串算式，而是一张能看出交换律规律的表；隐藏答案与行列高亮配合，可以自问自答；打印时只输出表格与标题，贴在书桌前或教室墙上都清楚。 The point is structure: children see a grid where the commutative pattern is visible, not a list of sums. Hiding answers and highlighting rows and columns supports self-testing, and printing keeps just the grid and a title for a desk or classroom wall.

适用人群与场景：二年级刚学乘法的学生；家长陪孩子背口诀时当对照表；老师在课件里放一张完整的乘法表；以及需要快速核对乘积的高年级学生。 Suits second graders starting multiplication, parents checking chants with their child, teachers dropping a complete table into slides, and older pupils who need a quick product lookup.

需要说明的边界：范围只到 12，口诀按传统读法（乘积小于 10 读「得几」）；它不生成题目、不判分，也不记录背诵进度。 Limits: the range stops at 12, chants follow the traditional reading, and the tool neither generates quizzes nor grades or tracks memorisation.

使用方式：先用 1~9 的口径陪孩子过一遍整表，再切到 1~12 做扩展；背口诀时点「隐藏答案」，答完再点回来核对；要贴进课件就整段复制 45 句口诀，或者直接打印整张表；选过的范围和隐藏状态会记在本机，第二天打开不用重设；不必逐条死记，按行列顺读就能看出交换律的规律。 How to use it: walk through the 1 to 9 grid first, then switch to 1 to 12 for extension. Hide answers during recall and restore them to check, copy the 45 chants for slides, or print the whole table. The chosen range and answer visibility stay on this device for next time.