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    <title>数学公式渲染测试用例</title>
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    <div class="container">
        <h1>🧮 数学公式渲染测试用例</h1>

        <div class="test-case">
            <div class="test-title">测试用例：二次函数最值问题</div>

            <div class="description">LaTeX 原文：</div>
            <div class="raw-latex">已知函数 f(x) = 2x^3 - 3x^2 - 12x + 5，求函数在区间 [-2, 3] 上的最大值和最小值。</div>

            <div class="description" style="margin-top: 20px;">渲染效果：</div>
            <div class="formula-display">
                已知函数 <x-math-render :content="'$f(x) = 2x^3 - 3x^2 - 12x + 5$'" />，求函数在区间 <x-math-render :content="'$[-2, 3]$'" /> 上的最大值和最小值。
            </div>

            <div class="description">
                ✅ <strong>测试点</strong>：
                <ul style="margin-top: 10px; line-height: 1.8;">
                    <li>上标：$x^3$ 和 $x^2$ 应该显示为上标形式</li>
                    <li>减号：$2x^3 - 3x^2 - 12x + 5$ 中的减号应该正确显示</li>
                    <li>区间：$[-2, 3]$ 应该显示为数学区间格式</li>
                    <li>加号：$+ 5$ 中的加号应该正确显示</li>
                </ul>
            </div>
        </div>

        <div class="test-case">
            <div class="test-title">相关公式测试</div>

            <div class="description">导数：</div>
            <div class="formula-display">
                <x-math-render :content="'$f\'(x) = 6x^2 - 6x - 12$'" />
            </div>

            <div class="description">求导过程：</div>
            <div class="formula-display">
                <x-math-render :content="'$f\'(x) = \frac{d}{dx}(2x^3) - \frac{d}{dx}(3x^2) - \frac{d}{dx}(12x) + \frac{d}{dx}(5)$'" />
            </div>

            <div class="description">化简：</div>
            <div class="formula-display">
                <x-math-render :content="'$f\'(x) = 6x^2 - 6x - 12$'" />
            </div>
        </div>

        <div class="test-case">
            <div class="test-title">边界值测试</div>

            <div class="description">区间端点：</div>
            <div class="formula-display">
                <x-math-render :content="'$x = -2$ 或 $x = 3$'" />
            </div>

            <div class="description">函数值：</div>
            <div class="formula-display">
                <x-math-render :content="'$f(-2) = 2(-2)^3 - 3(-2)^2 - 12(-2) + 5 = -16 - 12 + 24 + 5 = 1$'" />
            </div>

            <div class="formula-display">
                <x-math-render :content="'$f(3) = 2(3)^3 - 3(3)^2 - 12(3) + 5 = 54 - 27 - 36 + 5 = -4$'" />
            </div>
        </div>

        <div class="test-case">
            <div class="test-title">关键点测试</div>

            <div class="description">驻点（导数为零的点）：</div>
            <div class="formula-display">
                <x-math-render :content="'$f\'(x) = 0$'" />
            </div>

            <div class="description">求解：</div>
            <div class="formula-display">
                <x-math-render :content="'$6x^2 - 6x - 12 = 0$'" />
            </div>

            <div class="formula-display">
                <x-math-render :content="'$x^2 - x - 2 = 0$'" />
            </div>

            <div class="formula-display">
                <x-math-render :content="'$x = \frac{1 \pm \sqrt{1 + 8}}{2} = \frac{1 \pm 3}{2}$'" />
            </div>

            <div class="formula-display">
                <x-math-render :content="'$x = 2$ 或 $x = -1$'" />
            </div>
        </div>
    </div>

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