feat:2.6.2 凑十法
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{
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"navigationBarTitleText": "凑十法练习",
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"navigationBarBackgroundColor": "#FFD719",
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"homeButton": true,
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"backgroundColor": "#F6F6F6",
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"enablePullDownRefresh": false,
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"usingComponents": {
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"toy-button": "../../ui/button/button",
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"share-guide-popup": "../../components/share-guide-popup/share-guide-popup",
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"math-bottom-buttons": "../../components/math-bottom-buttons/math-bottom-buttons",
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"draw-ad": "../../components/draw-ad/draw-ad"
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}
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}
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// 凑十法练习页面样式
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@import '../../base/baseDrawPage.wxss';
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import MakeTenDraw from '../shared/service/makeTenDraw';
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import {
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createMathPage,
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CanvasDataState,
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} from '../shared/common/mathPageMixin';
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createMathPage({
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canvas: null as Canvas | null,
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ctx: null as RenderingContext | null,
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boxHeight: 0,
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boxWidth: 0,
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drawService: null as MakeTenDraw | null,
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makeTenData: null as {
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problems: Array<{
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left: number;
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right: number;
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result: number;
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}>;
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} | null,
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data: {
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pageTitle: '凑十法练习',
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subTitle: '通过凑十法学习20以内进位加法',
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functionId: '',
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hasContent: false,
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showShareDialog: false,
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} as CanvasDataState,
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onLoad(options: { id?: string }) {
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const functionId = options.id || 'make-ten';
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this.initPageInfo(functionId, '凑十法练习');
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},
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onReady() {
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this.initCanvas({
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createDrawService: (
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canvas: Canvas,
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ctx: RenderingContext,
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options?: Record<string, any>,
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) => {
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return new MakeTenDraw(canvas, ctx, options);
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},
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drawServiceOptions: {
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subTitle: this.data.subTitle,
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},
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onCanvasReady: () => {
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// 初始随机生成
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this.onRandom();
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},
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});
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},
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/**
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* 绘制Canvas内容
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*/
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async drawCanvas() {
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if (!this.ctx || !this.drawService || !this.makeTenData) {
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return;
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}
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try {
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await this.drawService.draw(this.makeTenData);
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this.setData({ hasContent: true });
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} catch (error) {
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console.error('绘制失败:', error);
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this.setData({ hasContent: false });
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}
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},
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/**
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* 随机生成
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*/
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onRandom() {
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const problems: Array<{
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left: number;
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right: number;
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result: number;
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}> = [];
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// 用于记录已生成的题目,避免重复(9+2 和 2+9 视为不同)
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const usedProblems = new Set<string>();
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// 生成9道题目(3行3列)
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let attempts = 0;
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const maxAttempts = 1000; // 最大尝试次数,避免无限循环
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while (problems.length < 9 && attempts < maxAttempts) {
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attempts++;
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// 生成两个数,确保:
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// 1. 两个加数都在1-9之间(不能是10)
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// 2. 和大于10且小于等于20(需要凑十法)
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// 3. 大数至少是6(因为5无法满足条件:5 + 最大小数4 = 9 < 11)
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let left: number;
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let right: number;
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// 随机决定大数在前还是在后
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const bigFirst = Math.random() < 0.5;
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if (bigFirst) {
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// 大数在前:left 在 6-9 之间,right 在 1-9 之间
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// 确保 left + right >= 11 且 left + right <= 20
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left = Math.floor(Math.random() * 4) + 6; // 6-9
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// right 的最小值:确保 left + right >= 11,即 right >= 11 - left
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const minRight = Math.max(1, 11 - left);
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// right 的最大值:确保 left + right <= 20,即 right <= 20 - left,且 right <= 9
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const maxRight = Math.min(9, 20 - left);
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// 确保 right < left(因为 left 是大数)
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const actualMaxRight = Math.min(maxRight, left - 1);
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// 检查是否有有效的 right 值
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if (actualMaxRight >= minRight) {
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right =
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Math.floor(
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Math.random() * (actualMaxRight - minRight + 1),
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) + minRight;
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} else {
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// 如果无法生成有效值,跳过本次循环
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continue;
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}
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} else {
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// 大数在后:left 在 1-9 之间,right 在 6-9 之间
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// 确保 left + right >= 11 且 left + right <= 20
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right = Math.floor(Math.random() * 4) + 6; // 6-9
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// left 的最小值:确保 left + right >= 11,即 left >= 11 - right
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const minLeft = Math.max(1, 11 - right);
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// left 的最大值:确保 left + right <= 20,即 left <= 20 - right,且 left <= 9
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const maxLeft = Math.min(9, 20 - right);
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// 确保 left < right(因为 right 是大数)
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const actualMaxLeft = Math.min(maxLeft, right - 1);
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// 检查是否有有效的 left 值
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if (actualMaxLeft >= minLeft) {
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left =
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Math.floor(
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Math.random() * (actualMaxLeft - minLeft + 1),
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) + minLeft;
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} else {
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// 如果无法生成有效值,跳过本次循环
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continue;
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}
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}
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// 检查是否重复(9+2 和 2+9 视为不同)
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const problemKey = `${left},${right}`;
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if (usedProblems.has(problemKey)) {
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// 如果已存在,跳过本次循环,重新生成
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continue;
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}
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// 添加到已使用集合
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usedProblems.add(problemKey);
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const result = left + right;
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problems.push({
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left,
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right,
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result,
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});
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}
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// 如果尝试次数过多仍未生成足够的题目,输出警告
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if (problems.length < 9) {
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console.warn(
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`只生成了 ${problems.length} 道题目,可能符合条件的题目组合不足`,
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);
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}
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this.makeTenData = { problems };
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this.drawCanvas();
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},
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});
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@@ -0,0 +1,6 @@
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<!-- 模版不能跨包引用 -->
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<import src="../shared/templates/canvas-page-template.wxml" />
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<template
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is="canvasPageTemplate"
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data="{{boxWidth: boxWidth, boxHeight: boxHeight, hasTypeSelector: false, adType: 'mathDraw', disabled: !hasContent, showShareDialog: showShareDialog}}" />
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