feat:2.4.510以内数字的分与合

This commit is contained in:
R524809
2025-12-08 13:01:16 +08:00
parent 791a8bc373
commit 1e50a3b56e
9 changed files with 837 additions and 3 deletions
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{
"navigationBarTitleText": "10以内数的分与合",
"navigationBarBackgroundColor": "#FFD719",
"homeButton": true,
"backgroundColor": "#F6F6F6",
"enablePullDownRefresh": false,
"usingComponents": {
"share-guide-popup": "../../components/share-guide-popup/share-guide-popup",
"math-bottom-buttons": "../components/math-bottom-buttons/math-bottom-buttons",
"math-type-selector": "../components/math-type-selector/math-type-selector"
}
}
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@import '../common/mathPage.less';
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import NumberDecomposeDraw from '../service/numberDecomposeDraw';
import {
getMathPageCommonMethods,
CanvasDataState,
} from '../common/mathPageMixin';
// 获取公共方法
const commonMethods = getMathPageCommonMethods({
pagePath: 'numberDecompose/numberDecompose',
});
type DecomposeMode = 'with-image' | 'decompose' | 'compose';
Page({
canvas: null as Canvas | null,
ctx: null as RenderingContext | null,
boxHeight: 0,
boxWidth: 0,
drawService: null as NumberDecomposeDraw | null,
decomposeData: null as {
problems: Array<{
whole: number | null; // 总数(null表示组合模式需要填写)
part1: number | null; // 第一个部分(null表示需要填写)
part2: number | null; // 第二个部分(null表示需要填写)
imageIndex?: number; // 图片索引(有图片模式需要)
imageType?: 'fruits' | 'twelve-animals'; // 图片类型
}>;
mode: DecomposeMode;
} | null,
data: {
pageTitle: '10以内数的分与合',
subTitle: '学习数的分解与组合',
functionId: '',
hasContent: false,
showShareDialog: false,
showTypeSelector: true,
currentType: 'with-image',
currentTypeName: '有图片模式',
typeActions: [
{ name: '有图片模式', value: 'with-image' },
{ name: '分模式', value: 'decompose' },
{ name: '组合模式', value: 'compose' },
],
} as CanvasDataState & {
showTypeSelector: boolean;
currentType: DecomposeMode;
currentTypeName: string;
typeActions: Array<{ name: string; value: DecomposeMode }>;
},
onLoad(options: { id?: string; mode?: DecomposeMode }) {
const functionId = options.id || 'number-decompose';
const mode = options.mode || 'with-image';
const currentTypeName =
mode === 'with-image'
? '有图片模式'
: mode === 'decompose'
? '分模式'
: '组合模式';
this.setData({
currentType: mode,
currentTypeName,
});
this.initPageInfo(functionId, '10以内数的分与合');
},
onReady() {
this.initCanvas({
createDrawService: (canvas, ctx, options) => {
return new NumberDecomposeDraw(canvas, ctx, options);
},
drawServiceOptions: {
subTitle: this.data.subTitle,
},
onCanvasReady: () => {
// Canvas 初始化完成后,生成初始数据
this.onRandom();
},
});
},
/**
* 绘制Canvas内容
*/
async drawCanvas() {
if (!this.ctx || !this.drawService || !this.decomposeData) {
return;
}
try {
await this.drawService.draw(this.decomposeData);
this.setData({ hasContent: true });
} catch (error) {
console.error('绘制失败:', error);
this.setData({ hasContent: false });
}
},
/**
* 随机生成
*/
onRandom() {
this.generateDecomposeData();
this.drawCanvas();
},
/**
* 生成分解数据
*/
generateDecomposeData() {
const mode = this.data.currentType;
const problems: Array<{
whole: number;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
}> = [];
if (mode === 'with-image') {
// 有图片模式:6个题目,一行两列,总共三行
const problemCount = 6;
for (let i = 0; i < problemCount; i++) {
// 生成总数(2-10
const whole = Math.floor(Math.random() * 9) + 2;
// 随机选择一个部分(1 到 whole-1)
const part1 = Math.floor(Math.random() * (whole - 1)) + 1;
const part2 = whole - part1;
// 随机决定显示 part1 还是 part2(另一个为 null
const showPart1 = Math.random() < 0.5;
const problem = {
whole,
part1: showPart1 ? part1 : null,
part2: showPart1 ? null : part2,
};
// 随机选择图片类型和索引
const imageType: 'fruits' | 'twelve-animals' =
Math.random() < 0.5 ? 'fruits' : 'twelve-animals';
const maxImageIndex = imageType === 'fruits' ? 22 : 12;
const imageIndex =
Math.floor(Math.random() * maxImageIndex) + 1;
problems.push({
...problem,
imageIndex,
imageType,
});
}
} else if (mode === 'decompose') {
// 分模式:12个题目,一行3个,总共4行
const problemCount = 15;
for (let i = 0; i < problemCount; i++) {
// 生成总数(2-10
const whole = Math.floor(Math.random() * 9) + 2;
// 随机选择一个部分(1 到 whole-1)
const part1 = Math.floor(Math.random() * (whole - 1)) + 1;
const part2 = whole - part1;
// 随机决定显示 part1 还是 part2(另一个为 null
const showPart1 = Math.random() < 0.5;
problems.push({
whole,
part1: showPart1 ? part1 : null,
part2: showPart1 ? null : part2,
});
}
} else if (mode === 'compose') {
// 组合模式:12个题目,一行3个,总共4行
const problemCount = 15;
for (let i = 0; i < problemCount; i++) {
// 生成总数(2-10
const whole = Math.floor(Math.random() * 9) + 2;
// 随机选择一个部分(1 到 whole-1)
const part1 = Math.floor(Math.random() * (whole - 1)) + 1;
const part2 = whole - part1;
// 组合模式:两个部分都显示,根节点为 null
problems.push({
whole: null, // 根节点需要填写
part1,
part2,
});
}
}
this.decomposeData = { problems, mode };
},
// ========== 使用公共方法 ==========
initCanvas: commonMethods.initCanvas,
exportToPrint: commonMethods.exportToPrint,
onShareAppMessage: commonMethods.onShareAppMessage,
onShareTimeline: commonMethods.onShareTimeline,
onCloseShareDialog: commonMethods.onCloseShareDialog,
onShareSuccess: commonMethods.onShareSuccess,
initPageInfo: commonMethods.initPageInfo,
/** 选择类型 */
onSelectType(event: any) {
const { name, value } = event.detail;
this.setData({
currentType: value,
currentTypeName: name,
});
// 重新生成数据
this.onRandom();
},
});
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<view class="page-container">
<view class="wrapper">
<text class="wrapper-title">预览打印效果</text>
<!-- 预览打印效果 -->
<view id="canvasWrapper" class="canvas-wrapper">
<canvas
type="2d"
id="canvasContent"
class="canvas-content"
style="width:{{boxWidth}}px;height:{{boxHeight}}px" />
</view>
<!-- 类型选择器和随机生成按钮 -->
<math-type-selector
wx:if="{{showTypeSelector}}"
current-type-name="{{currentTypeName}}"
type-actions="{{typeActions}}"
bind:select="onSelectType"
bind:random="onRandom" />
</view>
<view class="empty"></view>
</view>
<math-bottom-buttons
disabled="{{!hasContent}}"
bind:share="onShareAppMessage"
bind:export="exportToPrint" />
<share-guide-popup
show="{{showShareDialog}}"
bind:onClose="onCloseShareDialog"
bind:onShareSuccess="onShareSuccess" />
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import { getImage } from '../../utils/index';
import { getRandomNumberColor } from '../../constants/colors';
interface DrawNumberDecomposeContentParams {
canvas: WechatMiniprogram.Canvas;
ctx: RenderingContext;
decomposeData: {
problems: Array<{
whole: number | null;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
}>;
mode: 'with-image' | 'decompose' | 'compose';
};
canvasWidth: number;
startY: number;
}
/**
* 绘制圆角矩形(虚线边框)
*/
function drawRoundedRect(
ctx: RenderingContext,
x: number,
y: number,
width: number,
height: number,
radius: number,
isDashed: boolean = false,
) {
ctx.beginPath();
ctx.moveTo(x + radius, y);
ctx.lineTo(x + width - radius, y);
ctx.quadraticCurveTo(x + width, y, x + width, y + radius);
ctx.lineTo(x + width, y + height - radius);
ctx.quadraticCurveTo(x + width, y + height, x + width - radius, y + height);
ctx.lineTo(x + radius, y + height);
ctx.quadraticCurveTo(x, y + height, x, y + height - radius);
ctx.lineTo(x, y + radius);
ctx.quadraticCurveTo(x, y, x + radius, y);
ctx.closePath();
if (isDashed) {
ctx.setLineDash([6 / 3, 6 / 3]); // 约2px的虚线
} else {
ctx.setLineDash([]);
}
ctx.stroke();
ctx.setLineDash([]); // 重置为实线
}
/**
* 绘制数的分与合内容区域
*/
export async function drawNumberDecomposeContent({
canvas,
ctx,
decomposeData,
canvasWidth,
startY,
}: DrawNumberDecomposeContentParams): Promise<void> {
const { problems, mode } = decomposeData;
if (mode === 'with-image') {
await drawWithImageMode(canvas, ctx, problems, canvasWidth, startY);
} else if (mode === 'decompose') {
await drawDecomposeOrComposeMode(
ctx,
problems,
canvasWidth,
startY,
false,
);
} else if (mode === 'compose') {
await drawDecomposeOrComposeMode(
ctx,
problems,
canvasWidth,
startY,
true,
);
}
}
/**
* 有图片模式:一行两列,总共三行(6个题目)
*/
async function drawWithImageMode(
canvas: WechatMiniprogram.Canvas,
ctx: RenderingContext,
problems: Array<{
whole: number | null;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
}>,
canvasWidth: number,
startY: number,
) {
const leftMargin = 30;
const rightMargin = 30;
const topMargin = 20;
const boxSpacing = 40;
const rowSpacing = 40;
// 计算每个框的尺寸
const availableWidth = canvasWidth - leftMargin - rightMargin;
const boxWidth = (availableWidth - boxSpacing) / 2; // 2列,1个间距
const imageAreaHeight = 116; // 图片区域高度
const treeAreaHeight = 80; // 二叉树区域高度
let currentY = startY + topMargin;
// 绘制2列3行
for (let row = 0; row < 3; row++) {
for (let col = 0; col < 2; col++) {
const problemIndex = row * 2 + col;
if (problemIndex >= problems.length) {
continue;
}
const problem = problems[problemIndex];
const boxX = leftMargin + col * (boxWidth + boxSpacing);
const boxY =
currentY +
row * (imageAreaHeight + treeAreaHeight + rowSpacing);
// 绘制一个完整的题目框
await drawWithImageProblem(
ctx,
canvas,
problem,
boxX,
boxY,
boxWidth,
imageAreaHeight,
treeAreaHeight,
);
}
}
}
/**
* 分模式/组合模式:一行3个,总共5行(15个题目)
* @param isInverted true 为组合模式(倒置二叉树),false 为分模式(正常二叉树)
*/
async function drawDecomposeOrComposeMode(
ctx: RenderingContext,
problems: Array<{
whole: number | null;
part1: number | null;
part2: number | null;
}>,
canvasWidth: number,
startY: number,
isInverted: boolean,
) {
const leftMargin = 30;
const rightMargin = 30;
const topMargin = 20;
const boxSpacing = 15;
const rowSpacing = 140;
// 计算每个框的尺寸
const availableWidth = canvasWidth - leftMargin - rightMargin;
const boxWidth = (availableWidth - boxSpacing * 2) / 3; // 3列,2个间距
const boxHeight = 80; // 二叉树区域高度
let currentY = startY + topMargin;
// 绘制3列5行
for (let row = 0; row < 5; row++) {
for (let col = 0; col < 3; col++) {
const problemIndex = row * 3 + col;
if (problemIndex >= problems.length) {
continue;
}
const problem = problems[problemIndex];
const boxX = leftMargin + col * (boxWidth + boxSpacing);
const boxY = currentY + row * rowSpacing;
// 绘制二叉树
drawTree(ctx, problem, boxX, boxY, boxWidth, boxHeight, isInverted);
}
}
}
/**
* 绘制有图片模式的单个题目
*/
async function drawWithImageProblem(
ctx: RenderingContext,
canvas: WechatMiniprogram.Canvas,
problem: {
whole: number | null;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
},
boxX: number,
boxY: number,
boxWidth: number,
imageAreaHeight: number,
treeAreaHeight: number,
) {
const borderRadius = 12;
// 绘制实线框(只绘制图片区域的框)
ctx.strokeStyle = '#333';
ctx.lineWidth = 1;
drawRoundedRect(
ctx,
boxX,
boxY,
boxWidth,
imageAreaHeight,
borderRadius,
false,
);
// 图片区域(增加底部间距,避免与二叉树根节点重叠)
const imageBottomPadding = 20; // 图片区域底部额外间距
const effectiveImageHeight = imageAreaHeight - imageBottomPadding;
if (problem.imageIndex && problem.imageType && problem.whole) {
await drawImagesInBox(
ctx,
canvas,
problem.whole,
problem.imageIndex,
problem.imageType,
boxX,
boxY,
boxWidth,
effectiveImageHeight,
);
}
// 二叉树区域(增加与图片区域的间距)
const treeTopSpacing = -5; // 二叉树区域顶部间距
const treeY = boxY + imageAreaHeight + treeTopSpacing;
drawTree(
ctx,
problem,
boxX,
treeY,
boxWidth,
treeAreaHeight,
false, // 不是倒置
);
}
/**
* 绘制二叉树结构
* @param isInverted 是否倒置(组合模式为true)
*/
function drawTree(
ctx: RenderingContext,
problem: {
whole: number | null;
part1: number | null;
part2: number | null;
},
boxX: number,
boxY: number,
boxWidth: number,
boxHeight: number,
isInverted: boolean,
) {
const nodeRadius = 18;
const nodeSpacing = 40; // 节点之间的水平间距
const verticalSpacing = 70; // 根节点和子节点的垂直间距
if (isInverted) {
// 组合模式:倒置二叉树
// 顶部:两个子节点(part1, part2
// 底部:根节点(whole,需要填写)
const centerX = boxX + boxWidth / 2;
const topY = boxY + boxHeight / 2 - verticalSpacing / 2;
const bottomY = boxY + boxHeight / 2 + verticalSpacing / 2;
// 绘制两个子节点(顶部)
const leftNodeX = centerX - nodeSpacing / 2 - nodeRadius;
const rightNodeX = centerX + nodeSpacing / 2 + nodeRadius;
// 左子节点
drawNode(ctx, leftNodeX, topY, nodeRadius, problem.part1);
// 右子节点
drawNode(ctx, rightNodeX, topY, nodeRadius, problem.part2);
// 绘制根节点(底部)
drawNode(ctx, centerX, bottomY, nodeRadius, problem.whole);
// 绘制连接线(从子节点到根节点)
ctx.strokeStyle = '#333';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(leftNodeX, topY + nodeRadius);
ctx.lineTo(centerX, bottomY - nodeRadius);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(rightNodeX, topY + nodeRadius);
ctx.lineTo(centerX, bottomY - nodeRadius);
ctx.stroke();
} else {
// 分解模式:正常二叉树
// 顶部:根节点(whole
// 底部:两个子节点(part1, part2,其中一个需要填写)
const centerX = boxX + boxWidth / 2;
const topY = boxY + boxHeight / 2 - verticalSpacing / 2;
const bottomY = boxY + boxHeight / 2 + verticalSpacing / 2;
// 绘制根节点(顶部)
drawNode(ctx, centerX, topY, nodeRadius, problem.whole);
// 绘制两个子节点(底部)
const leftNodeX = centerX - nodeSpacing / 2 - nodeRadius;
const rightNodeX = centerX + nodeSpacing / 2 + nodeRadius;
// 左子节点
drawNode(ctx, leftNodeX, bottomY, nodeRadius, problem.part1);
// 右子节点
drawNode(ctx, rightNodeX, bottomY, nodeRadius, problem.part2);
// 绘制连接线(从根节点到子节点)
ctx.strokeStyle = '#333';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(centerX, topY + nodeRadius);
ctx.lineTo(leftNodeX, bottomY - nodeRadius);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(centerX, topY + nodeRadius);
ctx.lineTo(rightNodeX, bottomY - nodeRadius);
ctx.stroke();
}
}
/**
* 绘制节点(圆圈和数字)
*/
function drawNode(
ctx: RenderingContext,
x: number,
y: number,
radius: number,
value: number | null,
) {
// 绘制圆角正方形
const size = radius * 2; // 正方形边长
const cornerRadius = 8; // 圆角半径
const halfSize = size / 2;
ctx.fillStyle = '#fff';
ctx.strokeStyle = '#333';
ctx.lineWidth = 2;
// 绘制圆角矩形
ctx.beginPath();
ctx.moveTo(x - halfSize + cornerRadius, y - halfSize);
ctx.lineTo(x + halfSize - cornerRadius, y - halfSize);
ctx.quadraticCurveTo(
x + halfSize,
y - halfSize,
x + halfSize,
y - halfSize + cornerRadius,
);
ctx.lineTo(x + halfSize, y + halfSize - cornerRadius);
ctx.quadraticCurveTo(
x + halfSize,
y + halfSize,
x + halfSize - cornerRadius,
y + halfSize,
);
ctx.lineTo(x - halfSize + cornerRadius, y + halfSize);
ctx.quadraticCurveTo(
x - halfSize,
y + halfSize,
x - halfSize,
y + halfSize - cornerRadius,
);
ctx.lineTo(x - halfSize, y - halfSize + cornerRadius);
ctx.quadraticCurveTo(
x - halfSize,
y - halfSize,
x - halfSize + cornerRadius,
y - halfSize,
);
ctx.closePath();
ctx.fill();
ctx.stroke();
// 如果有值,绘制数字
if (value !== null) {
ctx.fillStyle = getRandomNumberColor();
ctx.font = `bold ${24}px "Microsoft Yahei"`;
ctx.textAlign = 'center';
ctx.textBaseline = 'middle';
ctx.fillText(String(value), x, y);
}
}
/**
* 在框内绘制多张图片
*/
async function drawImagesInBox(
ctx: RenderingContext,
canvas: WechatMiniprogram.Canvas,
count: number,
imageIndex: number,
imageType: 'fruits' | 'twelve-animals',
boxX: number,
boxY: number,
boxWidth: number,
boxHeight: number,
) {
// 图片配置
const imageConfig = {
'twelve-animals': {
folder: 'twelve-animals',
maxIndex: 12,
},
fruits: {
folder: 'fruits',
maxIndex: 22,
},
};
const config = imageConfig[imageType] || imageConfig['twelve-animals'];
const padding = 8;
const availableWidth = boxWidth - padding * 2;
const availableHeight = boxHeight - padding * 2;
// 根据数量确定每行的图片数和图片大小
let imagesPerRow: number;
let imageSize: number;
if (count <= 4) {
imagesPerRow = count <= 2 ? count : 2;
imageSize =
Math.min(availableWidth / imagesPerRow, availableHeight / 2) - 4;
} else if (count <= 6) {
imagesPerRow = 3;
imageSize = Math.min(availableWidth / 3, availableHeight / 2) - 4;
} else {
imagesPerRow = 3;
imageSize = Math.min(availableWidth / 3, availableHeight / 3) - 4;
}
const rows = Math.ceil(count / imagesPerRow);
const imageSpacing =
(availableWidth - imageSize * imagesPerRow) / (imagesPerRow + 1);
const rowSpacing =
rows > 1 ? (availableHeight - imageSize * rows) / (rows + 1) : 0;
// 加载图片
let boxImage: any = null;
try {
const imagePath = `/mathPages/assets/${config.folder}/${imageIndex}.png`;
boxImage = await getImage(canvas, imagePath);
} catch (error) {
console.error(`加载${config.folder}/${imageIndex}图片失败:`, error);
return;
}
// 绘制图片
for (let i = 0; i < count; i++) {
const row = Math.floor(i / imagesPerRow);
const col = i % imagesPerRow;
const imageX =
boxX + padding + imageSpacing + col * (imageSize + imageSpacing);
const imageY =
boxY +
padding +
(rows > 1 ? rowSpacing : (availableHeight - imageSize) / 2) +
row * (imageSize + (rows > 1 ? rowSpacing : 0));
if (boxImage) {
// 计算图片高度(等比例缩放)
// @ts-ignore - 微信小程序图片对象有 width 和 height 属性
const scaledHeight = (boxImage.height / boxImage.width) * imageSize;
ctx.drawImage(boxImage, imageX, imageY, imageSize, scaledHeight);
}
}
}
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import { BaseMathDrawService } from './baseMathDraw';
import { drawNumberDecomposeContent } from './numberDecomposeContentDraw';
/**
* 10以内数的分与合绘制服务
* 组合使用基础绘制服务和内容区域绘制服务
*/
class NumberDecomposeDraw extends BaseMathDrawService {
decomposeData: {
problems: Array<{
whole: number | null;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
}>;
mode: 'with-image' | 'decompose' | 'compose';
} | null;
constructor(
canvas: Canvas,
ctx: RenderingContext,
options?: Record<string, any>,
) {
super(canvas, ctx, options);
this.decomposeData = null;
}
async draw(decomposeData: {
problems: Array<{
whole: number | null;
part1: number | null;
part2: number | null;
imageIndex?: number;
imageType?: 'fruits' | 'twelve-animals';
}>;
mode: 'with-image' | 'decompose' | 'compose';
}) {
if (!decomposeData || !decomposeData.problems) {
return;
}
this.setPrintConfig();
this.decomposeData = decomposeData;
this.clear();
this.setPaper();
// 绘制Header
if (this.headerType !== 'minimal') {
await this.drawHeader();
} else {
this.drawMiniHeader();
}
// 绘制内容区域
this.drawDivider();
await drawNumberDecomposeContent({
canvas: this.canvas,
ctx: this.ctx,
decomposeData: this.decomposeData,
canvasWidth: this.canvasWidth,
startY: this.currentY,
});
}
}
export default NumberDecomposeDraw;