question-storage/知了数学题库/tree_new.json

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      "label": "第二章 有理数的运算",
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          "label": "2.1 有理数的加法与减法",
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                  "label": "有理数的加减乘除混合运算",
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              "label": "2.3.1 乘方",
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                  "label": "乘方的性质",
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              "label": "2.3.3 近似数",
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      "label": "第三章 代数式",
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          "id": 32,
          "label": "3.1 列代数式表示数量关系",
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              "id": 33,
              "label": "代数式",
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              "label": "列代数式",
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              "id": 35,
              "label": "反比例关系",
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          "id": 36,
          "label": "3.2 代数式的值",
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      "label": "第四章 整式的加减",
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          "label": "4.1 整式",
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              "id": 39,
              "label": "单项式",
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              "id": 40,
              "label": "多项式",
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          "label": "4.2 整式的加法与减法",
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              "id": 42,
              "label": "合并同类项",
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            {
              "id": 43,
              "label": "去括号",
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      "id": 45,
      "label": "第五章 一元一次方程",
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          "id": 46,
          "label": "5.1 方程",
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              "label": "5.1.1 从算式到方程",
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              "id": 48,
              "label": "5.1.2 等式的性质",
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          "id": 49,
          "label": "5.2 解一元一次方程",
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              "id": 50,
              "label": "合并同类项解一元一次方程",
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              "id": 51,
              "label": "移项解一元一次方程",
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              "label": "去括号解一元一次方程",
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              "id": 53,
              "label": "去分母解一元一次方程",
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          "id": 54,
          "label": "5.3 实际问题与一元一次方程",
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          "kp_level": "section",
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          "children": [
            {
              "id": 55,
              "label": "配套问题与工程问题",
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            {
              "id": 56,
              "label": "商品销售问题与比赛积分问题",
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              "kp_level": "subsection",
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            {
              "id": 57,
              "label": "方案决策问题与分段计费问题",
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              "id": 58,
              "label": "其他问题",
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          "id": 60,
          "label": "6.1 几何图形",
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              "id": 61,
              "label": "6.1.1 立体图形与平面图形",
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                  "label": "立体图形与平面图形的概念",
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                  "id": 63,
                  "label": "从不同方向看物体",
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                  "id": 64,
                  "label": "立体图形的展开与折叠",
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              "id": 65,
              "label": "6.1.2 点、线、面、体",
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          "id": 66,
          "label": "6.2 直线、射线、线段",
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              "label": "6.2.1 直线、射线、线段的概念",
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              "id": 68,
              "label": "6.2.2 线段的比较与运算",
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          "id": 69,
          "label": "6.3 角",
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              "id": 70,
              "label": "6.3.1 角的概念",
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              "id": 71,
              "label": "6.3.2 角的比较与运算",
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              "id": 72,
              "label": "6.3.3 余角和补角",
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      "id": 73,
      "label": "第七章 相交线与平行线",
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          "id": 74,
          "label": "7.1 相交线",
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              "id": 75,
              "label": "7.1.1 两条直线相交",
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              "id": 76,
              "label": "7.1.2 两条直线垂直",
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                  "id": 77,
                  "label": "垂线及其画法",
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                  "id": 78,
                  "label": "垂线段最短",
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              "id": 79,
              "label": "7.1.3 两条直线被第三条直线所截",
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          "id": 80,
          "label": "7.2 平行线",
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              "id": 82,
              "label": "7.2.2 平行线的判定",
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              "id": 83,
              "label": "7.2.3 平行线的性质",
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          "id": 86,
          "label": "7.3 定义、命题、定理",
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          "id": 87,
          "label": "7.4 平移",
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      "id": 88,
      "label": "第八章 实数",
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          "label": "8.1 平方根",
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              "label": "平方根的概念",
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              "id": 91,
              "label": "算术平方根",
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              "id": 92,
              "label": "算术平方根的估算",
              "parent_id": 89,
              "kp_level": "subsection",
              "skills": [],
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              "related_score": [],
              "children": []
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          "id": 93,
          "label": "8.2 立方根",
          "parent_id": 88,
          "kp_level": "section",
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          "id": 94,
          "label": "8.3 实数及其简单运算",
          "parent_id": 88,
          "kp_level": "section",
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          "related_score": [],
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      "id": 95,
      "label": "第九章 平面直角坐标系",
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      "children": [
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          "label": "9.1 用坐标描述平面内点的位置",
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              "id": 97,
              "label": "9.1.1 平面直角坐标系的概念",
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              "id": 98,
              "label": "9.1.2 用坐标描述简单几何图形",
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              "kp_level": "subsection",
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          "id": 99,
          "label": "9.2 坐标方法的简单应用",
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          "kp_level": "section",
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          "related_score": [],
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              "id": 100,
              "label": "9.2.1 用坐标表示地理位置",
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              "kp_level": "subsection",
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              "related_score": [],
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              "id": 101,
              "label": "9.2.2 用坐标表示平移",
              "parent_id": 99,
              "kp_level": "subsection",
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      "id": 102,
      "label": "第十章 二元一次方程组",
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          "id": 103,
          "label": "10.1 二元一次方程组的概念",
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        },
        {
          "id": 104,
          "label": "10.2 消元——解二元一次方程组",
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          "kp_level": "section",
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              "id": 105,
              "label": "10.2.1 代入消元法",
              "parent_id": 104,
              "kp_level": "subsection",
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              "related_score": [],
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              "id": 106,
              "label": "10.2.2 加减消元法",
              "parent_id": 104,
              "kp_level": "subsection",
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              "direct_score": [],
              "related_score": [],
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        {
          "id": 107,
          "label": "10.3 实际问题与二元一次方程组",
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          "kp_level": "section",
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          "related_score": [],
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        {
          "id": 108,
          "label": "10.4 三元一次方程组的解法",
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          "kp_level": "section",
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      "id": 109,
      "label": "第十一章 不等式与不等式组",
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      "kp_level": "chapter",
      "children": [
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          "id": 110,
          "label": "11.1 不等式",
          "parent_id": 109,
          "kp_level": "section",
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          "related_score": [],
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            {
              "id": 111,
              "label": "11.1.1 不等式及其解集",
              "parent_id": 110,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 112,
              "label": "11.1.2 不等式的性质",
              "parent_id": 110,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
          ]
        },
        {
          "id": 113,
          "label": "11.2 一元一次不等式",
          "parent_id": 109,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 114,
              "label": "解一元一次不等式",
              "parent_id": 113,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
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            {
              "id": 115,
              "label": "一元一次不等式的应用",
              "parent_id": 113,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
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          ]
        },
        {
          "id": 116,
          "label": "11.3 一元一次不等式组",
          "parent_id": 109,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
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    {
      "id": 117,
      "label": "第十二章 数据的收集、整理与描述",
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      "kp_level": "chapter",
      "children": [
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          "id": 118,
          "label": "12.1 统计调查",
          "parent_id": 117,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 119,
              "label": "12.1.1 全面调查",
              "parent_id": 118,
              "kp_level": "subsection",
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              "related_score": [],
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            {
              "id": 120,
              "label": "12.1.2 抽样调查",
              "parent_id": 118,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
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        {
          "id": 121,
          "label": "12.2 用统计图描述数据",
          "parent_id": 117,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
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            {
              "id": 122,
              "label": "12.2.1 扇形图、条形图和折线图",
              "parent_id": 121,
              "kp_level": "subsection",
              "skills": [],
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              "related_score": [],
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            {
              "id": 123,
              "label": "12.2.2 直方图",
              "parent_id": 121,
              "kp_level": "subsection",
              "skills": [],
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            },
            {
              "id": 124,
              "label": "12.2.3 趋势图",
              "parent_id": 121,
              "kp_level": "subsection",
              "skills": [],
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      "id": 125,
      "label": "第十三章 三角形",
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          "id": 126,
          "label": "13.1 与三角形有关的线段",
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          "kp_level": "section",
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            {
              "id": 127,
              "label": "13.1.1 三角形的边",
              "parent_id": 126,
              "kp_level": "subsection",
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              "related_score": [],
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            },
            {
              "id": 128,
              "label": "13.1.2 三角形的高、中线与角平分线",
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              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 129,
              "label": "13.1.3 三角形的稳定性",
              "parent_id": 126,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
          ]
        },
        {
          "id": 130,
          "label": "13.2 与三角形有关的角",
          "parent_id": 125,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
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              "id": 131,
              "label": "13.2.1 三角形的内角",
              "parent_id": 130,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": [
                {
                  "id": 132,
                  "label": "三角形的内角的概念",
                  "parent_id": 131,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
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                },
                {
                  "id": 133,
                  "label": "直角三角形的两个锐角互余",
                  "parent_id": 131,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                }
              ]
            },
            {
              "id": 134,
              "label": "13.2.2 三角形的外角",
              "parent_id": 130,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
          ]
        },
        {
          "id": 135,
          "label": "13.3 多边形及其内角和",
          "parent_id": 125,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
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      "id": 136,
      "label": "第十四章 全等三角形",
      "parent_id": 1,
      "kp_level": "chapter",
      "children": [
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          "id": 137,
          "label": "14.1 全等三角形",
          "parent_id": 136,
          "kp_level": "section",
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          "related_score": [],
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        },
        {
          "id": 138,
          "label": "14.2 三角形全等的判定",
          "parent_id": 136,
          "kp_level": "section",
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          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 139,
              "label": "三边证全等(SSS)",
              "parent_id": 138,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 140,
              "label": "两边及夹角证全等(SAS)",
              "parent_id": 138,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 141,
              "label": "两角及一边证全等(ASA、AAS)",
              "parent_id": 138,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 142,
              "label": "斜边及一直角边证全等(HL)",
              "parent_id": 138,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
          ]
        },
        {
          "id": 143,
          "label": "14.3 角的平分线的性质",
          "parent_id": 136,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 144,
              "label": "角的平分线的性质的概念",
              "parent_id": 143,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 145,
              "label": "角的平分线的判定",
              "parent_id": 143,
              "kp_level": "subsection",
              "skills": [],
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              "related_score": [],
              "children": []
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      ]
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    {
      "id": 146,
      "label": "第十五章 轴对称",
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      "kp_level": "chapter",
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          "id": 147,
          "label": "15.1 轴对称",
          "parent_id": 146,
          "kp_level": "section",
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          "related_score": [],
          "children": [
            {
              "id": 148,
              "label": "轴对称的概念",
              "parent_id": 147,
              "kp_level": "subsection",
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              "related_score": [],
              "children": []
            },
            {
              "id": 149,
              "label": "线段的垂直平分线的性质",
              "parent_id": 147,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
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        },
        {
          "id": 150,
          "label": "15.2 画轴对称图形",
          "parent_id": 146,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 151,
              "label": "画轴对称图形的概念",
              "parent_id": 150,
              "kp_level": "subsection",
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              "related_score": [],
              "children": []
            },
            {
              "id": 152,
              "label": "用坐标表示轴对称",
              "parent_id": 150,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            }
          ]
        },
        {
          "id": 153,
          "label": "15.3 等腰三角形",
          "parent_id": 146,
          "kp_level": "section",
          "skills": [],
          "direct_score": [],
          "related_score": [],
          "children": [
            {
              "id": 154,
              "label": "15.3.1 等腰三角形的概念",
              "parent_id": 153,
              "kp_level": "subsection",
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              "related_score": [],
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                {
                  "id": 155,
                  "label": "等腰三角形的性质",
                  "parent_id": 154,
                  "kp_level": "lesson",
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                  "related_score": [],
                  "children": []
                },
                {
                  "id": 156,
                  "label": "等腰三角形的判定",
                  "parent_id": 154,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
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                }
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            {
              "id": 157,
              "label": "15.3.2 等边三角形",
              "parent_id": 153,
              "kp_level": "subsection",
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              "related_score": [],
              "children": [
                {
                  "id": 158,
                  "label": "等边三角形的性质与判定",
                  "parent_id": 157,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
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                },
                {
                  "id": 159,
                  "label": "含30°角的直角三角形的性质",
                  "parent_id": 157,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                }
              ]
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          ]
        },
        {
          "id": 160,
          "label": "15.4 课题学习 最短路径问题",
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          "kp_level": "section",
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          "related_score": [],
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    {
      "id": 161,
      "label": "第十六章 整式的乘法与因式分解",
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          "id": 162,
          "label": "16.1 整式的乘法",
          "parent_id": 161,
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          "children": [
            {
              "id": 163,
              "label": "16.1.1 同底数幂的乘法",
              "parent_id": 162,
              "kp_level": "subsection",
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              "related_score": [],
              "children": []
            },
            {
              "id": 164,
              "label": "16.1.2 幂的乘方",
              "parent_id": 162,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 165,
              "label": "16.1.3 积的乘方",
              "parent_id": 162,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 166,
              "label": "16.1.4 整式的乘法的概念",
              "parent_id": 162,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": [
                {
                  "id": 167,
                  "label": "单项式乘单项式",
                  "parent_id": 166,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                },
                {
                  "id": 168,
                  "label": "单项式乘多项式",
                  "parent_id": 166,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                },
                {
                  "id": 169,
                  "label": "多项式乘多项式",
                  "parent_id": 166,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                },
                {
                  "id": 170,
                  "label": "同底数幂的除法",
                  "parent_id": 166,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                },
                {
                  "id": 171,
                  "label": "单(多)项式除以单项式",
                  "parent_id": 166,
                  "kp_level": "lesson",
                  "skills": [],
                  "direct_score": [],
                  "related_score": [],
                  "children": []
                }
              ]
            }
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        {
          "id": 172,
          "label": "16.2 乘法公式",
          "parent_id": 161,
          "kp_level": "section",
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          "related_score": [],
          "children": [
            {
              "id": 173,
              "label": "16.2.1 平方差公式",
              "parent_id": 172,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
              "children": []
            },
            {
              "id": 174,
              "label": "16.2.2 完全平方公式",
              "parent_id": 172,
              "kp_level": "subsection",
              "skills": [],
              "direct_score": [],
              "related_score": [],
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            }
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          "id": 175,
          "label": "16.3 因式分解",
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          "related_score": [],
          "children": [
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              "id": 176,
              "label": "16.3.1 提公因式法",
              "parent_id": 175,
              "kp_level": "subsection",
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              "related_score": [],
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              "id": 177,
              "label": "16.3.2 公式法",
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              "kp_level": "subsection",
              "skills": [],
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    {
      "id": 178,
      "label": "第十七章 分式",
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          "id": 179,
          "label": "17.1 分式",
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        },
        {
          "id": 180,
          "label": "17.2 分式的运算",
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          "children": [
            {
              "id": 181,
              "label": "17.2.1 分式的乘除",
              "parent_id": 180,
              "kp_level": "subsection",
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              "id": 182,
              "label": "17.2.2 分式的加减",
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          "label": "17.3 分式方程",
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      "label": "第十八章 二次根式",
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          "label": "18.2 二次根式的乘除",
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              "id": 194,
              "label": "二次根式的混合运算",
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      "label": "第十九章 勾股定理",
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              "id": 197,
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          "id": 199,
          "label": "19.2 勾股定理的逆定理",
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              "id": 200,
              "label": "勾股定理的逆定理的概念",
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              "id": 201,
              "label": "勾股定理的逆定理的应用",
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      "label": "第二十章 平行四边形",
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                  "id": 206,
                  "label": "平行四边形对角线的性质",
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              "id": 207,
              "label": "20.1.2 平行四边形的判定",
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                  "label": "平行四边形的判定基本概念",
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                  "id": 209,
                  "label": "三角形的中位线",
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          "id": 210,
          "label": "20.2 特殊的平行四边形",
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          "kp_level": "section",
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              "id": 211,
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                  "id": 212,
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              "id": 214,
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                  "id": 215,
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                {
                  "id": 216,
                  "label": "菱形的判定",
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              "id": 217,
              "label": "20.2.3 正方形",
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      "id": 218,
      "label": "第二十一章 一次函数",
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              "id": 220,
              "label": "21.1.1 变量与函数",
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                  "id": 222,
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                {
                  "id": 223,
                  "label": "函数的表示方法",
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          "id": 224,
          "label": "21.2 一次函数",
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              "id": 225,
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              "id": 226,
              "label": "21.2.2 一次函数(1)",
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            {
              "id": 227,
              "label": "21.2.3 一次函数与方程、不等式",
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        {
          "id": 228,
          "label": "21.3 课题学习 选择方案",
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      "label": "第二十二章 数据的分析",
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          "id": 230,
          "label": "22.1 数据的集中趋势",
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            {
              "id": 231,
              "label": "22.1.1 平均数",
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              "id": 232,
              "label": "22.1.2 中位数和众数",
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          "id": 233,
          "label": "22.2 数据的波动程度",
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        },
        {
          "id": 234,
          "label": "22.3 课题学习 体质健康测试中的数据分析",
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      "label": "第二十三章 一元二次方程",
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          "label": "23.1 一元二次方程",
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              "id": 332,
              "label": "一元二次方程的定义及一般形式",
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              "id": 333,
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            {
              "id": 334,
              "label": "根据实际问题列出一元二次方程",
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        {
          "id": 237,
          "label": "23.2 解一元二次方程",
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          "children": [
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              "id": 238,
              "label": "23.2.1 配方法",
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                {
                  "id": 239,
                  "label": "直接开平方法",
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                {
                  "id": 240,
                  "label": "配方法的概念",
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            {
              "id": 241,
              "label": "23.2.2 公式法",
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            {
              "id": 242,
              "label": "23.2.3 因式分解法",
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              "id": 243,
              "label": "23.2.4 一元二次方程的根与系数的关系",
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          "id": 244,
          "label": "23.3 实际问题与一元二次方程",
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              "id": 245,
              "label": "列一元二次方程解决传播问题和数字问题",
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              "id": 246,
              "label": "列一元二次方程解决增长率问题",
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              "id": 247,
              "label": "列一元二次方程解决几何图形问题",
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      "id": 248,
      "label": "第二十四章 二次函数",
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              "id": 250,
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              "id": 251,
              "label": "24.1.2 二次函数y=ax²的图象和性质",
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              "id": 252,
              "label": "24.1.3 二次函数y=a(x-h)²+k的图象和性质",
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                  "id": 253,
                  "label": "二次函数y=ax²+k的图象和性质",
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                  "id": 254,
                  "label": "二次函数y=a(x-h)²的图象和性质",
                  "parent_id": 252,
                  "kp_level": "lesson",
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                  "id": 255,
                  "label": "二次函数y=a(x-h)²+k的图象和性质的概念",
                  "parent_id": 252,
                  "kp_level": "lesson",
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              "id": 256,
              "label": "24.1.4 二次函数y=ax²+bx+c的图象和性质",
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              "kp_level": "subsection",
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          "id": 257,
          "label": "24.2 二次函数与一元二次方程",
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          "id": 258,
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              "id": 259,
              "label": "二次函数与图形面积问题",
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            },
            {
              "id": 260,
              "label": "二次函数与商品利润问题",
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            {
              "id": 261,
              "label": "抛物线形问题",
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          "id": 263,
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          "id": 264,
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              "id": 266,
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              "id": 267,
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              "id": 292,
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              "id": 302,
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                  "id": 307,
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              "id": 309,
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              "id": 310,
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          "id": 311,
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              "id": 312,
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              "id": 313,
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            {
              "id": 316,
              "label": "正弦",
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              "id": 317,
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              "id": 318,
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          "id": 319,
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                  "id": 322,
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                  "id": 323,
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          "id": 328,
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              "id": 329,
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              "id": 330,
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              "id": 331,
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      "id": 336,
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              "id": 338,
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