feat:2.6.3 破十法、平十法、借十法
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R524809
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/**
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* 破十法练习绘制服务
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*/
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import { BaseDrawService } from '../../../service/baseDraw';
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/**
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* 破十法数据
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*/
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export interface BreakTenData {
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problems: Array<{
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minuend: number; // 被减数
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subtrahend: number; // 减数
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result: number;
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}>;
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}
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/**
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* 破十法练习绘制服务
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*/
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class BreakTenDraw extends BaseDrawService {
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breakTenData: BreakTenData | null = null;
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constructor(
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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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super(canvas, ctx, options);
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this.breakTenData = null;
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}
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/**
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* 绘制破十法练习内容
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*/
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async draw(breakTenData: BreakTenData) {
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if (!breakTenData || !breakTenData.problems) {
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return;
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}
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this.breakTenData = breakTenData;
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this.prepareDraw();
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await this.drawHeaderAndDivider();
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// 绘制口诀区域
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this.drawMnemonic();
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// 绘制虚线分割
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this.drawDashedDivider(this.currentY + 5, 40, '#999', 1);
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this.currentY += 20;
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// 绘制题目区域（3行3列）
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this.drawProblems(breakTenData.problems);
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}
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/**
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* 绘制口诀
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*/
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private drawMnemonic() {
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const { ctx, canvasWidth } = this;
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// 支持通过 options 自定义口诀，默认为破十法口诀
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const mnemonic =
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this.options.mnemonic || '看大数、分出十，一减一加，算得数';
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const fontSize = 24; // 适合小朋友的字体大小
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// 使用适合小朋友的字体
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ctx.font = `bold ${fontSize}px "YouYuan", "PingFang SC", "Microsoft Yahei", sans-serif`;
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ctx.fillStyle = '#343434';
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ctx.textAlign = 'center';
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ctx.textBaseline = 'middle';
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// 居中绘制口诀
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const mnemonicY = this.currentY + 30;
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ctx.fillText(mnemonic, canvasWidth / 2, mnemonicY);
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// 更新当前Y位置
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this.currentY = mnemonicY + 30;
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}
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/**
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* 绘制题目区域（3行3列）
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*/
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private drawProblems(
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problems: Array<{
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minuend: number;
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subtrahend: number;
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result: number;
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}>,
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) {
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const { ctx, canvasWidth } = this;
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const rows = 3;
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const cols = 3;
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const startX = 10;
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const startY = this.currentY + 20;
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const itemWidth = (canvasWidth - startX * 2) / cols - 18;
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const itemHeight = 200; // 每个题目的高度
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for (let row = 0; row < rows; row++) {
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for (let col = 0; col < cols; col++) {
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const index = row * cols + col;
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if (index >= problems.length) {
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break;
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}
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const problem = problems[index];
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const x = startX + col * itemWidth;
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const y = startY + row * itemHeight;
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// 绘制单个题目
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this.drawSingleProblem(
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ctx,
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x,
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y,
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itemWidth,
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itemHeight,
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problem,
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);
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}
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}
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}
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/**
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* 绘制单个题目
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*/
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private drawSingleProblem(
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ctx: RenderingContext,
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x: number,
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y: number,
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width: number,
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_height: number,
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problem: { minuend: number; subtrahend: number; result: number },
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) {
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const blueColor = '#8CBAFF';
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const yellowColor = '#FFCB05';
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const greenColor = '#5AE2B1';
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const pinkColor = '#F2A4C0';
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const lineColor = '#6CD2EA';
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const boxSize = 30; // 方框大小
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const fontSize = 18; // 数字字体大小
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const verticalSpacing = 25; // 垂直间距
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const nodeSpacing = 40; // 二叉树节点之间的水平间距
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const horizontalSpacing = 10; // 第一层元素之间的水平间距
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// 第一层：被减数 - 减数 = 答案框
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const firstLayerY = y + 15;
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const centerX = x + width / 2;
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// 第一层元素位置
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const minuendBoxX = centerX - boxSize - horizontalSpacing;
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const minusX = minuendBoxX + boxSize + horizontalSpacing;
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const subtrahendBoxX = minusX + horizontalSpacing;
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const equalsX = subtrahendBoxX + boxSize + horizontalSpacing - 2;
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const answerBoxX = equalsX + 10 + horizontalSpacing;
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// 绘制被减数方框
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this.drawTopLayerBox(
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ctx,
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minuendBoxX,
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firstLayerY,
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boxSize,
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problem.minuend,
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fontSize,
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blueColor,
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);
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// 绘制减号
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this.drawMinusSign(ctx, minusX, firstLayerY + boxSize / 2, 12);
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// 绘制减数方框
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this.drawTopLayerBox(
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ctx,
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subtrahendBoxX,
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firstLayerY,
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boxSize,
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problem.subtrahend,
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fontSize,
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yellowColor,
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);
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// 绘制等号
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this.drawEqualsSign(ctx, equalsX, firstLayerY + boxSize / 2, 12);
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// 绘制答案框（空白）
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this.drawSquareBox(ctx, answerBoxX, firstLayerY, boxSize, greenColor);
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// 第二层：被减数拆分成二叉树结构（两个空方框）
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// 被减数拆分成 10 和 (被减数 - 10)
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const secondLayerY = firstLayerY + boxSize + verticalSpacing;
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const minuendBoxCenterX = minuendBoxX + boxSize / 2;
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// 绘制二叉树的两个子节点（空方框）
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const leftNodeX = minuendBoxCenterX - nodeSpacing / 2 - boxSize / 2;
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const rightNodeX = minuendBoxCenterX + nodeSpacing / 2 - boxSize / 2;
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// 绘制左子节点（10，空方框）
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this.drawSquareBox(ctx, leftNodeX, secondLayerY, boxSize, blueColor);
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// 绘制右子节点（被减数 - 10，空方框）
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this.drawSquareBox(ctx, rightNodeX, secondLayerY, boxSize, pinkColor);
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// 绘制连接线（从被减数到两个子节点）
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ctx.strokeStyle = lineColor;
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ctx.lineWidth = 1;
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ctx.beginPath();
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ctx.moveTo(minuendBoxCenterX, firstLayerY + boxSize);
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ctx.lineTo(leftNodeX + boxSize / 2, secondLayerY);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(minuendBoxCenterX, firstLayerY + boxSize);
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ctx.lineTo(rightNodeX + boxSize / 2, secondLayerY);
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ctx.stroke();
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// 第三层：在减数正下方绘制一个方框（10）
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const thirdLayerY = secondLayerY + boxSize + verticalSpacing + 15;
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const subtrahendBoxCenterX = subtrahendBoxX + boxSize / 2;
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const thirdBoxX = subtrahendBoxX - boxSize / 2;
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const thirdBoxCenterX = thirdBoxX + boxSize / 2;
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const minusX2 = subtrahendBoxX;
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// 绘制第三层方框（空方框，应该是10）
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this.drawSquareBox(ctx, thirdBoxX, thirdLayerY, boxSize, blueColor);
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// 从减数正下方绘制直线至第2.5层的位置
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const layer2_5Y =
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secondLayerY +
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boxSize +
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(thirdLayerY - secondLayerY - boxSize) / 2 +
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4;
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ctx.strokeStyle = '#888';
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ctx.lineWidth = 1;
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ctx.beginPath();
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ctx.moveTo(subtrahendBoxCenterX, firstLayerY + boxSize);
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ctx.lineTo(subtrahendBoxCenterX, layer2_5Y);
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ctx.stroke();
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// 计算相交点（第2.5层位置，在subtrahendBoxCenterX处）
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const intersectionY = layer2_5Y;
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// 从第二层右边的方框（右子节点）下绘制直角折线到相交点
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const rightNodeCenterX = rightNodeX + boxSize / 2;
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ctx.beginPath();
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ctx.moveTo(rightNodeCenterX, secondLayerY + boxSize);
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ctx.lineTo(rightNodeCenterX, intersectionY); // 垂直向下
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ctx.lineTo(subtrahendBoxCenterX, intersectionY); // 水平到相交点
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ctx.stroke();
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// 绘制相交点到第三层方框的直线
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ctx.beginPath();
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ctx.moveTo(thirdBoxCenterX, intersectionY);
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ctx.lineTo(thirdBoxCenterX, thirdLayerY); // 垂直向下到第三层
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ctx.stroke();
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// 在相交位置上方绘制小减号（使用drawSymbol方法）
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this.drawSymbol(minusX2, layer2_5Y - 10, '-', 12);
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// 从第二层左侧的方框（左子节点）下绘制直角折线连接第三层方框
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const leftNodeCenterX = leftNodeX + boxSize / 2;
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ctx.beginPath();
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ctx.moveTo(leftNodeCenterX, secondLayerY + boxSize);
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ctx.lineTo(leftNodeCenterX, thirdLayerY + boxSize / 2); // 垂直向下到第三层
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ctx.lineTo(thirdBoxX, thirdLayerY + boxSize / 2); // 水平连接到第三层方框
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ctx.stroke();
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// 在第二层左侧方框和第三层方框之间的折线中间绘制加号
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const plusBetweenX =
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leftNodeCenterX + (thirdBoxX - leftNodeCenterX) / 2;
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this.drawSymbol(plusBetweenX, thirdLayerY + 2, '+', 12);
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}
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/**
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* 绘制第一层方框（边框1px，#999，无填充，显示数字）
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*/
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private drawTopLayerBox(
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ctx: RenderingContext,
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x: number,
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y: number,
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size: number,
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number: number,
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fontSize: number,
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color: string,
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) {
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// 绘制方框
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this.drawSquareBox(ctx, x, y, size, color);
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// 绘制数字
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ctx.fillStyle = '#000';
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ctx.font = `bold ${fontSize}px "YouYuan", "PingFang SC", "Microsoft Yahei", sans-serif`;
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ctx.textAlign = 'center';
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ctx.textBaseline = 'middle';
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ctx.fillText(String(number), x + size / 2, y + size / 2);
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}
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/**
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* 绘制减号
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*/
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private drawMinusSign(
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ctx: RenderingContext,
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x: number,
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y: number,
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size: number,
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) {
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ctx.strokeStyle = '#000';
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ctx.lineWidth = 1.5;
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ctx.beginPath();
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// 横线
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ctx.moveTo(x - size / 2, y);
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ctx.lineTo(x + size / 2, y);
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ctx.stroke();
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}
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/**
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* 绘制等号
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*/
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private drawEqualsSign(
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ctx: RenderingContext,
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x: number,
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y: number,
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size: number,
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) {
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ctx.strokeStyle = '#000';
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ctx.lineWidth = 1.5;
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ctx.beginPath();
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// 上横线
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ctx.moveTo(x, y - size / 3);
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ctx.lineTo(x + size, y - size / 3);
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// 下横线
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ctx.moveTo(x, y + size / 3);
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ctx.lineTo(x + size, y + size / 3);
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ctx.stroke();
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}
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}
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export default BreakTenDraw;
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