{"id":5546,"date":"2026-01-03T12:31:25","date_gmt":"2026-01-03T04:31:25","guid":{"rendered":"http:\/\/jhwk.online\/?p=5546"},"modified":"2026-01-04T20:18:34","modified_gmt":"2026-01-04T12:18:34","slug":"%e4%b8%93%e9%a2%98%e5%9c%86%e9%94%a5%e7%ac%ac%e4%b8%80%e5%ae%9a%e4%b9%89-3-3","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=5546","title":{"rendered":"\u4e13\u9898\u6982\u7387\u5206\u5e03\u5217"},"content":{"rendered":"\n<div class=\"wp-block-stackable-subtitle stk-block-subtitle stk-block stk-8afe3d6\" data-block-id=\"8afe3d6\"><style>.stk-8afe3d6 .stk-block-subtitle__text{color:#0693e3 !important;}<\/style><p class=\"stk-block-subtitle__text stk-subtitle has-text-color\">\u672c\u9898\u75312023\u7ea722\u73ed\u674e\u4fca\u68a6\u8bb2\u89e3\uff01<\/p><\/div>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n<head>\n    <meta charset=\"UTF-8\">\n    <title>\u6982\u7387\u5206\u5e03\u5217\u4e13\u9898<\/title>\n    <script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n    <style>\n        .video-wrapper {\n            position: relative;\n            width: 100\n            max-width: 1200px;\n            margin: 0 auto;\n            overflow: visible; \/* \u6539\u4e3avisible\uff0c\u5141\u8bb8\u9898\u76ee\u6846\u5411\u4e0b\u5ef6\u4f38 *\/\n        }\n        #courseVideo {\n            width: 100\n            display: block;\n        }\n        .question-container {\n            display: none;\n            position: absolute;\n            top: 0; \/* \u4e0a\u8fb9\u754c\u4e0e\u89c6\u9891\u6846\u4e25\u683c\u5bf9\u9f50 *\/\n            left: 0; \/* \u5de6\u8fb9\u754c\u4e0e\u89c6\u9891\u6846\u5bf9\u9f50 *\/\n            right: 0; \/* \u53f3\u8fb9\u754c\u4e0e\u89c6\u9891\u6846\u5bf9\u9f50 *\/\n            bottom: auto; \/* \u53d6\u6d88\u5e95\u90e8\u9650\u5236\uff0c\u8ba9\u5185\u5bb9\u81ea\u7531\u5411\u4e0b\u5ef6\u4f38 *\/\n            background: rgba(0, 0, 0, 0.85);\n            z-index: 10;\n            flex-direction: column;\n            justify-content: flex-start; \/* \u5185\u5bb9\u4ece\u9876\u90e8\u5f00\u59cb\u6392\u5217 *\/\n            align-items: center;\n            padding: 20px;\n            overflow-y: auto;\n            min-height: 100\n        }\n        .question-content {\n            background: white;\n            padding: 30px;\n            border-radius: 8px;\n            width: 100\n            max-width: none; \/* \u53d6\u6d88\u6700\u5927\u5bbd\u5ea6\u9650\u5236\uff0c\u7ee7\u627f\u7236\u5bb9\u5668\u5bbd\u5ea6 *\/\n            box-sizing: border-box;\n        }\n        .option {\n            margin: 12px 0;\n            padding: 8px 12px;\n            cursor: pointer;\n            border-radius: 4px;\n            transition: background-color 0.2s;\n        }\n        .option:hover {\n            background-color: #f0f0f0;\n        }\n        .option.selected {\n            background-color: #4299e1;\n            color: white;\n        }\n        .feedback {\n            margin: 20px 0;\n            font-weight: bold;\n            font-size: 16px;\n        }\n        .analysis {\n            margin: 15px 0;\n            padding: 15px;\n            background-color: #f8f9fa;\n            border-radius: 4px;\n            font-size: 14px;\n            line-height: 1.6;\n            display: none; \/* \u9ed8\u8ba4\u9690\u85cf\u89e3\u6790 *\/\n        }\n        button {\n            padding: 10px 20px;\n            cursor: pointer;\n            border: none;\n            border-radius: 4px;\n            font-size: 14px;\n            margin-right: 10px;\n        }\n        .submit-btn {\n            background-color: #4299e1;\n            color: white;\n            display: inline-block; \/* \u9ed8\u8ba4\u663e\u793a\u63d0\u4ea4\u6309\u94ae *\/\n        }\n        .resume-btn {\n            background-color: #38b2ac;\n            color: white;\n            display: none; \/* \u9ed8\u8ba4\u9690\u85cf\u7ee7\u7eed\u64ad\u653e\u6309\u94ae *\/\n        }\n        @media (max-width: 768px) {\n            .question-content {\n                padding: 20px;\n            }\n            .option {\n                font-size: 14px;\n            }\n        }\n    <\/style>\n<\/head>\n<body>\n    <div class=\"video-wrapper\">\n        <video id=\"courseVideo\" controls>\n            <source src=\"http:\/\/jhwk.online\/wp-content\/uploads\/2026\/01\/ztglfbl\u674e\u4fca\u68a611.mp4\" type=\"video\/mp4\">\n            \u60a8\u7684\u6d4f\u89c8\u5668\u4e0d\u652f\u6301HTML5\u89c6\u9891\u64ad\u653e\uff0c\u8bf7\u5347\u7ea7\u6d4f\u89c8\u5668\n        <\/video>\n        <!-- 502\u79d2\u9898\u76ee\u5bb9\u5668\uff08\u82b1\u751f\u79cd\u5b50\u6982\u7387\u9898\uff09 -->\n        <div class=\"question-container\" id=\"questionBox1\">\n            <div class=\"question-content\">\n                <h3 style=\"margin-top: 0;\">\u9898\u76ee1<\/h3>\n                <p>\u67d0\u4e00\u6279\u82b1\u751f\u79cd\u5b50\uff0c\u5982\u679c\u6bcf1\u7c92\u53d1\u82bd\u7684\u6982\u7387\u4e3a\\(\\displaystyle \\frac{4}{5}\\)\uff0c\u90a3\u4e48\u64ad\u4e0b3\u7c92\u79cd\u5b50\u6070\u67092\u7c92\u53d1\u82bd\u7684\u6982\u7387\u662f\uff08&nbsp;&nbsp;\uff09<\/p>\n                <div class=\"options\">\n                    <div class=\"option\" data-opt=\"A\">A. \\(\\displaystyle \\frac{12}{125}\\)<\/div>\n                    <div class=\"option\" data-opt=\"B\">B. \\(\\displaystyle \\frac{16}{125}\\)<\/div>\n                    <div class=\"option\" data-opt=\"C\">C. \\(\\displaystyle \\frac{48}{125}\\)<\/div>\n                    <div class=\"option\" data-opt=\"D\">D. \\(\\displaystyle \\frac{96}{125}\\)<\/div>\n                <\/div>\n                <button id=\"submitBtn1\" class=\"submit-btn\">\u63d0\u4ea4\u7b54\u6848<\/button>\n                <div class=\"feedback\" id=\"feedbackText1\"><\/div>\n                <!-- \u9898\u76ee1\u89e3\u6790\u533a\u57df -->\n                <div class=\"analysis\" id=\"analysis1\">\n                    <strong>\u89e3\u6790\uff1a<\/strong><br>\n                    \u8fd9\u662f\u72ec\u7acb\u91cd\u590d\u8bd5\u9a8c\u95ee\u9898\uff0c\u7b26\u5408\u4e8c\u9879\u5206\u5e03\\(X \\sim B(3, \\displaystyle \\frac{4}{5})\\)\u3002<br>\n                    \u64ad\u4e0b3\u7c92\u79cd\u5b50\u6070\u67092\u7c92\u53d1\u82bd\u7684\u6982\u7387\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<br>\n                    \\(P(X=2) = C_3^2 \\times \\left(\\displaystyle \\frac{4}{5}\\right)^2 \\times \\left(1-\\displaystyle \\frac{4}{5}\\right)^1\\)<br>\n                    \u8ba1\u7b97\u8fc7\u7a0b\uff1a<br>\n                    \\(C_3^2 = \\displaystyle \\frac{3!}{2!(3-2)!} = 3\\)<br>\n                    \\(\\left(\\displaystyle \\frac{4}{5}\\right)^2 = \\displaystyle \\frac{16}{25}\\)\uff0c\\(\\left(1-\\displaystyle \\frac{4}{5}\\right) = \\displaystyle \\frac{1}{5}\\)<br>\n                    \u56e0\u6b64\\(P(X=2) = 3 \\times \\displaystyle \\frac{16}{25} \\times \\displaystyle \\frac{1}{5} = \\displaystyle \\frac{48}{125}\\)\uff0c\u6b63\u786e\u7b54\u6848\u4e3aC\u3002\n                <\/div>\n                <button id=\"resumeBtn1\" class=\"resume-btn\">\u7ee7\u7eed\u64ad\u653e<\/button>\n            <\/div>\n        <\/div>\n        <!-- 670\u79d2\u9898\u76ee\u5bb9\u5668\uff08\u6478\u7403\u6982\u7387\u9898\uff09 -->\n        <div class=\"question-container\" id=\"questionBox2\">\n            <div class=\"question-content\">\n                <h3 style=\"margin-top: 0;\">\u9898\u76ee2<\/h3>\n                <p>\u67d0\u4e0d\u900f\u660e\u7eb8\u7bb1\u4e2d\u5171\u67096\u4e2a\u5c0f\u7403\uff0c\u5176\u4e2d2\u4e2a\u767d\u7403\uff0c4\u4e2a\u7ea2\u7403\uff0c\u5b83\u4eec\u9664\u989c\u8272\u5916\u5747\u76f8\u540c\uff0e\u4e00\u6b21\u6027\u4ece\u7eb8\u7bb1\u4e2d\u6478\u51fa3\u4e2a\u5c0f\u7403\uff0c\u8bb0\u6478\u51fa\u7ea2\u7403\u4e2a\u6570\u4e3a\\(X\\)\uff0c\u5219\\(P(X=2)=\\)\uff08&nbsp;&nbsp;\uff09<\/p>\n                <div class=\"options\">\n                    <div class=\"option\" data-opt=\"A\">A. \\(\\displaystyle \\frac{1}{5}\\)<\/div>\n                    <div class=\"option\" data-opt=\"B\">B. \\(\\displaystyle \\frac{2}{5}\\)<\/div>\n                    <div class=\"option\" data-opt=\"C\">C. \\(\\displaystyle \\frac{3}{5}\\)<\/div>\n                    <div class=\"option\" data-opt=\"D\">D. \\(\\displaystyle \\frac{4}{5}\\)<\/div>\n                <\/div>\n                <button id=\"submitBtn2\" class=\"submit-btn\">\u63d0\u4ea4\u7b54\u6848<\/button>\n                <div class=\"feedback\" id=\"feedbackText2\"><\/div>\n                <!-- \u9898\u76ee2\u89e3\u6790\u533a\u57df -->\n                <div class=\"analysis\" id=\"analysis2\">\n                    <strong>\u89e3\u6790\uff1a<\/strong><br>\n                    \u8fd9\u662f\u8d85\u51e0\u4f55\u5206\u5e03\u95ee\u9898\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<br>\n                    \\(P(X=k) = \\displaystyle \\frac{C_M^k \\times C_{N-M}^{n-k}}{C_N^n}\\)\uff08\u5176\u4e2dN=\u603b\u6570\uff0cM=\u7ea2\u7403\u6570\uff0cn=\u62bd\u53d6\u6570\uff0ck=\u62bd\u5230\u7ea2\u7403\u6570\uff09<br>\n                    \u672c\u9898\u4e2d\uff1aN=6\uff0cM=4\uff0cn=3\uff0ck=2<br>\n                    \u8ba1\u7b97\u8fc7\u7a0b\uff1a<br>\n                    \u5206\u5b50\uff1a\\(C_4^2 \\times C_2^1 = \\displaystyle \\frac{4!}{2!2!} \\times \\displaystyle \\frac{2!}{1!1!} = 6 \\times 2 = 12\\)<br>\n                    \u5206\u6bcd\uff1a\\(C_6^3 = \\displaystyle \\frac{6!}{3!3!} = 20\\)<br>\n                    \u56e0\u6b64\\(P(X=2) = \\displaystyle \\frac{12}{20} = \\displaystyle \\frac{3}{5}\\)\uff0c\u6b63\u786e\u7b54\u6848\u4e3aC\u3002\n                <\/div>\n                <button id=\"resumeBtn2\" class=\"resume-btn\">\u7ee7\u7eed\u64ad\u653e<\/button>\n            <\/div>\n        <\/div>\n    <\/div>\n\n    <script>\n        const video = document.getElementById('courseVideo');\n        \/\/ 502\u79d2\u9898\u76ee\u5143\u7d20\n        const questionBox1 = document.getElementById('questionBox1');\n        const submitBtn1 = document.getElementById('submitBtn1');\n        const feedbackText1 = document.getElementById('feedbackText1');\n        const resumeBtn1 = document.getElementById('resumeBtn1');\n        const analysis1 = document.getElementById('analysis1');\n        const options1 = questionBox1.querySelectorAll('.option');\n        let selectedOpt1 = null;\n        let isQuestion1Showed = false;\n\n        \/\/ 670\u79d2\u9898\u76ee\u5143\u7d20\n        const questionBox2 = document.getElementById('questionBox2');\n        const submitBtn2 = document.getElementById('submitBtn2');\n        const feedbackText2 = document.getElementById('feedbackText2');\n        const resumeBtn2 = document.getElementById('resumeBtn2');\n        const analysis2 = document.getElementById('analysis2');\n        const options2 = questionBox2.querySelectorAll('.option');\n        let selectedOpt2 = null;\n        let isQuestion2Showed = false;\n\n        \/\/ \u76d1\u542c\u89c6\u9891\u65f6\u95f4\u66f4\u65b0\n        video.addEventListener('timeupdate', () => {\n            \/\/ 127\u79d2\u89e6\u53d1\u9898\u76ee1\n            if (Math.floor(video.currentTime) === 127 && !isQuestion1Showed) {\n                video.pause();\n                questionBox1.style.display = 'flex';\n                isQuestion1Showed = true;\n                MathJax.typeset();\n            }\n            \/\/ 179\u79d2\u89e6\u53d1\u9898\u76ee2\n            if (Math.floor(video.currentTime) === 179 && !isQuestion2Showed) {\n                video.pause();\n                questionBox2.style.display = 'flex';\n                isQuestion2Showed = true;\n                MathJax.typeset();\n            }\n        });\n\n        \/\/ \u9898\u76ee1\u9009\u9879\u9009\u62e9\n        options1.forEach(opt => {\n            opt.addEventListener('click', () => {\n                options1.forEach(item => item.classList.remove('selected'));\n                selectedOpt1 = opt.getAttribute('data-opt');\n                opt.classList.add('selected');\n            });\n        });\n\n        \/\/ \u9898\u76ee1\u63d0\u4ea4\u903b\u8f91\n        submitBtn1.addEventListener('click', () => {\n            if (!selectedOpt1) {\n                feedbackText1.textContent = '\u8bf7\u9009\u62e9\u4e00\u4e2a\u9009\u9879\uff01';\n                feedbackText1.style.color = '#e53e3e';\n                analysis1.style.display = 'none'; \/\/ \u9690\u85cf\u89e3\u6790\n                return;\n            }\n            \n            submitBtn1.style.display = 'none';\n            const correctOpt = 'C';\n            const isCorrect = selectedOpt1 === correctOpt;\n            \n            if (isCorrect) {\n                feedbackText1.textContent = '\u7b54\u6848\u6b63\u786e\uff01\u5373\u5c06\u7ee7\u7eed\u64ad\u653e';\n                feedbackText1.style.color = '#48bb78';\n                analysis1.style.display = 'none'; \/\/ \u6b63\u786e\u65f6\u9690\u85cf\u89e3\u6790\n                setTimeout(() => {\n                    questionBox1.style.display = 'none';\n                    video.play();\n                    resetQuestion1State();\n                }, 1500);\n            } else {\n                feedbackText1.textContent = `\u7b54\u6848\u9519\u8bef\uff0c\u6b63\u786e\u7b54\u6848\u662f${correctOpt}\uff0c\u8bf7\u67e5\u770b\u89e3\u6790\u540e\u70b9\u51fb\u7ee7\u7eed\u64ad\u653e`;\n                feedbackText1.style.color = '#e53e3e';\n                analysis1.style.display = 'block'; \/\/ \u9519\u8bef\u65f6\u663e\u793a\u89e3\u6790\n                resumeBtn1.style.display = 'inline-block';\n            }\n        });\n\n        \/\/ \u9898\u76ee1\u7ee7\u7eed\u64ad\u653e\n        resumeBtn1.addEventListener('click', () => {\n            questionBox1.style.display = 'none';\n            video.play();\n            resetQuestion1State();\n        });\n\n        \/\/ \u91cd\u7f6e\u9898\u76ee1\u72b6\u6001\n        function resetQuestion1State() {\n            feedbackText1.textContent = '';\n            analysis1.style.display = 'none'; \/\/ \u91cd\u7f6e\u65f6\u9690\u85cf\u89e3\u6790\n            submitBtn1.style.display = 'inline-block';\n            resumeBtn1.style.display = 'none';\n            selectedOpt1 = null;\n            options1.forEach(opt => opt.classList.remove('selected'));\n        }\n\n        \/\/ \u9898\u76ee2\u9009\u9879\u9009\u62e9\n        options2.forEach(opt => {\n            opt.addEventListener('click', () => {\n                options2.forEach(item => item.classList.remove('selected'));\n                selectedOpt2 = opt.getAttribute('data-opt');\n                opt.classList.add('selected');\n            });\n        });\n\n        \/\/ \u9898\u76ee2\u63d0\u4ea4\u903b\u8f91\n        submitBtn2.addEventListener('click', () => {\n            if (!selectedOpt2) {\n                feedbackText2.textContent = '\u8bf7\u9009\u62e9\u4e00\u4e2a\u9009\u9879\uff01';\n                feedbackText2.style.color = '#e53e3e';\n                analysis2.style.display = 'none'; \/\/ \u9690\u85cf\u89e3\u6790\n                return;\n            }\n            \n            submitBtn2.style.display = 'none';\n            const correctOpt = 'C';\n            const isCorrect = selectedOpt2 === correctOpt;\n            \n            if (isCorrect) {\n                feedbackText2.textContent = '\u7b54\u6848\u6b63\u786e\uff01\u5373\u5c06\u7ee7\u7eed\u64ad\u653e';\n                feedbackText2.style.color = '#48bb78';\n                analysis2.style.display = 'none'; \/\/ \u6b63\u786e\u65f6\u9690\u85cf\u89e3\u6790\n                setTimeout(() => {\n                    questionBox2.style.display = 'none';\n                    video.play();\n                    resetQuestion2State();\n                }, 1500);\n            } else {\n                feedbackText2.textContent = `\u7b54\u6848\u9519\u8bef\uff0c\u6b63\u786e\u7b54\u6848\u662f${correctOpt}\uff0c\u8bf7\u67e5\u770b\u89e3\u6790\u540e\u70b9\u51fb\u7ee7\u7eed\u64ad\u653e`;\n                feedbackText2.style.color = '#e53e3e';\n                analysis2.style.display = 'block'; \/\/ \u9519\u8bef\u65f6\u663e\u793a\u89e3\u6790\n                resumeBtn2.style.display = 'inline-block';\n            }\n        });\n\n        \/\/ \u9898\u76ee2\u7ee7\u7eed\u64ad\u653e\n        resumeBtn2.addEventListener('click', () => {\n            questionBox2.style.display = 'none';\n            video.play();\n            resetQuestion2State();\n        });\n\n        \/\/ \u91cd\u7f6e\u9898\u76ee2\u72b6\u6001\n        function resetQuestion2State() {\n            feedbackText2.textContent = '';\n            analysis2.style.display = 'none'; \/\/ \u91cd\u7f6e\u65f6\u9690\u85cf\u89e3\u6790\n            submitBtn2.style.display = 'inline-block';\n            resumeBtn2.style.display = 'none';\n            selectedOpt2 = null;\n            options2.forEach(opt => opt.classList.remove('selected'));\n        }\n\n        \/\/ \u7a97\u53e3\u7f29\u653e\u91cd\u65b0\u6e32\u67d3\u516c\u5f0f\n        window.addEventListener('resize', () => {\n            if (questionBox1.style.display === 'flex' || questionBox2.style.display === 'flex') {\n                MathJax.typeset();\n            }\n        });\n    <\/script>\n<\/body>\n<\/html>\n\n\n\n<p>[ratemypost]<\/p>\n\n\n\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-4838d52\" id=\"\u5185\u5bb9\u76ee\u5f55\" data-block-id=\"4838d52\"><style>.stk-4838d52 .stk-block-heading__top-line{background-color:#f00069 !important;}.stk-4838d52 .stk-block-heading__text{color:#0070b1 !important;}<\/style><div class=\"stk-block-heading__top-line\"><\/div><h5 class=\"stk-block-heading__text has-text-color\">\u5185\u5bb9\u76ee\u5f55<\/h5><\/div>\n\n\n\n<style>\n  .video-jump-btn {\n    cursor: pointer;\n    text-align: left;\n    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