app.py

import gradio as gr
import re

# 题目列表
questions = [
    "1. 37^(-42)=",
    "2. lim_{x→0} x³/(tanx - x)=",
    "3. cos x = x 的实根为 x=",
    "4. f(x)=(x-1)e^(x+1)+√(2x)+1/x-ln²x 的最小值为",
    "5. f(x)=x/6 + sinx/x 的极值点数量为",
    "6. y=(x-e)e^x+ln²(x+1)-√(x+1) 在(0,e1)处的切线在x轴上的截距为",
    "7. 点(1, 0)关于直线5x-2y+3=0的对称点为",
    "8. (2+3i)^7的虚部为",
    "9. arg(3+7i)/(9-4i)=(弧度制)",
    "10. 5!11! mod 998244353=",
    "11. C₃₇¹⁵=",
    "12. (x+2)^5除以x²+x+1的商(忽略余式)为",
    "13. 设f(x)=x⁴e^(x²)则f^(4)(x)/e^(x²)展开后x⁴的系数为",
    "14. 102233201和123456789的最大公约数为",
    "15. 2025的所有因数之和为",
    "16. ∑_{n=1}^∞ n^(-n)=",
    "17. ∫₀¹x^(-x)dx=",
    "18. ∑_{n=1}^{25}∏_{k=1}^n(1+1/k²)=",
    "19. (11,45,14)×(19,198,10)=",
    "20. 以(−2,−1,−1),(−1,1,3),(2,−4,1),(2,2,0)为顶点的四面体的体积为",
    "21. 点(1,0)到y=arctanx的距离为",
    "22. 5¹²+8¹²的所有质因数之和为",
    "23. 因式分解:x⁵-6x⁴+12x³-8x²-7x-1=",
    "24. 因式分解:a³b-3a³+a²b²+2ab²-6ab+2b³=",
    "25. √1,√2,√3,…,√2025的方差为",
    "26. 过(−2,−1),(−1,1),(0,2),(1,−2),(3,0)的二次曲线的离心率为",
    "27. x³-3x-5=0的复数根的实部为",
    "28. 已知六点(−2,−27),(−1,13),(0,5),(1,3),(2,−11),(3,−7),用最小二乘法拟合直线的相关系数为",
    "29. 以(−1,−1),(0,5),(6,2)为顶点的三角形外接圆半径为 其垂心坐标为",
    "30. (x+2)^4(3x²-5)(x²-6x-1)的展开式中x⁴的系数为",
    "31. 设X~N(0,0.5²),则P(-0.2≤X≤0.3)=",
    "32. 曲线y=2^x-x²(x∈[-2,4])的长度为",
    "33. 椭圆x²/5+y²/2=1的周长为",
    "34. 曲线ρ=1-sinθ在点(1,0)处的曲率为",
    "35. 曲线2x²+y²-5y+4=0和x²+2xy-3y²-2=0的所有公切线斜率之积为",
    "36. (13579 BD)₁₅转换为10进制是",
    "37. f(x)=1/(1-x-x²)在x=0处的泰勒展开的前6项为",
    "38. [2025,5202]中的质数数量为",
    "39. 已知a₁=2，aₙ₊₁=aₙ-1/aₙ，则a₂₀₂₅=",
    "40. 已知a₁=2，a₂=3，aₙ₊₂=aₙ₊₁-1/aₙ，则a₂₀₂₅=",
    "41. 冰雹猜想:从27开始，迭代得到1的最少次数为",
    "42. 已知a₁=0，a₂=1，aₙ₊₂=(n+1)(aₙ+aₙ₊₁)，则a₄₀₉₆ mod 998244353=",
    "43. 已知f²(x)f'(x)=xe^x，f(2)=3，则f(0)=",
    "44. 已知某分子和分母均小于1000的分数约等于0.294663573085847，则该分数为",
    "45. 满足2ⁿ中不出现重复数字的最大正整数n为",
    "46. 已知a^a+b^b+c^c+d^d=abcd(abcd为1~9的正整数)，则abcd=",
    "47. 100! mod 998244353=",
    "48. √(eπ)小数点后第37位是",
    "49. 已知f''(x)=2f(x)+x，f(0)=2，f'(0)=-1/2，则f(1)=",
    "50. 3^(4^5)的各位数字之和为"
]

# 答案列表（已按题目顺序整理并统一格式）
answers = [
    "1.3662e-66",        # 1
    "3",                  # 2
    "0.73909",            # 3
    "0.08027",            # 4
    "4",                  # 5
    "-1.6762",            # 6
    "(-1.7586,1.1034)",   # 7
    "4449",               # 8
    "1.5841",             # 9
    "797038588",          # 10
    "9364199760",         # 11
    "x³+9x²+30x+41",      # 12
    "492",                # 13
    "3607",               # 14
    "3751",               # 15
    "1.2913",             # 16
    "1.2913",             # 17
    "81.672",             # 18
    "(-2322,156,1323)",   # 19
    "15.833",             # 20
    "0.67234",            # 21
    "12691",              # 22
    "(x²-3x-1)(x³-3x²+4x+1)",  # 23
    "(a²+2b)(ab-3a+b²)",  # 24
    "112.34",             # 25
    "0.84984",            # 26
    "-1.1395",            # 27
    "0.09798",            # 28
    "3.9841 (0.92308,2.8462)",  # 29
    "-475",               # 30
    "0.38117",            # 31
    "10.750",             # 32
    "11.613",             # 33
    "1.0607",             # 34
    "176",                # 35
    "13947703",           # 36
    "1+x+2x²+3x³+5x⁴+8x⁵", # 37
    "386",                # 38
    "-35.709",            # 39
    "-125.93",            # 40
    "111",                # 41
    "641190802",          # 42
    "1.2238",             # 43
    "127/431",            # 44
    "29",                 # 45
    "3435",               # 46
    "35305197",           # 47
    "3",                  # 48
    "3.8564",             # 49
    "2250"                # 50
]

def verify_answers(*user_answers):
    """验证用户答案并返回评分结果"""
    results = []
    score = 0
    for idx, (user_ans, correct_ans) in enumerate(zip(user_answers, answers)):
        is_correct = False
        user_ans = str(user_ans).strip()
        
        # 数值型答案验证（保留五位有效数字）
        if re.match(r'^-?\d+\.\d+e?-?\d*$', correct_ans) or re.match(r'^-?\d+\.\d+$', correct_ans):
            try:
                # 统一科学计数法格式
                user_num = float(user_ans.replace('×10^', 'e').replace('^', 'e'))
                correct_num = float(correct_ans.replace('×10^', 'e').replace('^', 'e'))
                # 计算有效数字位数
                sig_figs = 5 - (0 if correct_num == 0 else len(str(int(abs(correct_num)))))
                user_rounded = round(user_num, sig_figs) if sig_figs > 0 else int(round(user_num))
                correct_rounded = round(correct_num, sig_figs) if sig_figs > 0 else int(round(correct_num))
                is_correct = abs(user_rounded - correct_rounded) < 1e-4
            except:
                pass
        
        # 整数答案验证
        elif correct_ans.isdigit() and user_ans.isdigit():
            is_correct = user_ans == correct_ans
        
        # 向量/坐标答案验证（忽略空格和中英文符号）
        elif correct_ans.startswith('(') and correct_ans.endswith(')'):
            user_clean = user_ans.replace(' ', '').replace('，', ',').lower()
            correct_clean = correct_ans.replace(' ', '').replace('，', ',').lower()
            is_correct = user_clean == correct_clean
        
        # 多项式/因式分解答案验证（忽略空格和次方符号）
        elif 'x' in correct_ans:
            user_clean = user_ans.replace(' ', '').replace('^', '').lower()
            correct_clean = correct_ans.replace(' ', '').replace('^', '').lower()
            is_correct = user_clean == correct_clean
        
        # 分数答案验证
        elif '/' in correct_ans:
            is_correct = user_ans == correct_ans
        
        # 纯文本答案验证
        else:
            is_correct = user_ans == correct_ans
        
        # 生成结果反馈
        if is_correct:
            results.append(f"✅ 题目 {idx+1} 正确！")
            score += 1
        else:
            results.append(f"❌ 题目 {idx+1} 错误，正确答案：{correct_ans}")
    
    results.append(f"------------------------\n总分：{score}/{len(questions)}")
    return "\n".join(results)

# 创建Gradio界面
with gr.Blocks(title="GeoGebra数学测试题", theme=gr.themes.Soft()) as app:
    gr.Markdown("# GeoGebra数学应用能力测试")
    gr.Markdown("### 说明：非整数答案请保留五位有效数字，直接输入数字或表达式")
    
    # 动态生成题目输入框
    input_components = []
    with gr.Column():
        for idx, q in enumerate(questions):
            with gr.Row():
                gr.Markdown(f"**{idx+1}. {q}**")
                input_box = gr.Textbox(
                    label=f"题目 {idx+1} 答案",
                    placeholder="在此输入答案...",
                    container=False
                )
                input_components.append(input_box)
    
    # 提交按钮与结果显示
    gr.Markdown("---")
    with gr.Row():
        submit_btn = gr.Button("提交答案", variant="primary")
        clear_btn = gr.Button("清空答案")
    result_display = gr.Textbox(
        label="答题结果",
        lines=15,
        placeholder="提交后将在此显示每道题的对错及总分..."
    )
    
    # 绑定事件
    submit_btn.click(
        fn=verify_answers,
        inputs=input_components,
        outputs=result_display
    )
    clear_btn.click(
        fn=lambda: [""]*len(input_components),
        inputs=None,
        outputs=input_components
    )

# 启动应用
if __name__ == "__main__":
    app.launch(share=True)