{
  "id": "M01",
  "label": "数与代数",
  "children": [
    {
      "id": "S01",
      "label": "有理数及其运算",
      "children": [
        {
          "id": "R01",
          "label": "有理数的分类",
          "skills": [
            "正负数判断",
            "区间理解"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            1,
            2
          ],
          "children": []
        },
        {
          "id": "R02",
          "label": "相反数与绝对值",
          "skills": [
            "绝对值意义",
            "距离概念"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            1,
            2
          ],
          "children": []
        },
        {
          "id": "R03",
          "label": "有理数加减",
          "skills": [
            "同号相加",
            "异号作差"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            2,
            3
          ],
          "children": []
        },
        {
          "id": "R04",
          "label": "有理数乘除",
          "skills": [
            "符号判断",
            "倒数运用"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            2,
            3
          ],
          "children": []
        },
        {
          "id": "R05",
          "label": "幂与指数",
          "skills": [
            "指数性质",
            "乘方运算"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            2,
            3
          ],
          "children": []
        },
        {
          "id": "R06",
          "label": "科学记数法",
          "skills": [
            "有效数字",
            "数量级"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            1,
            2
          ],
          "children": []
        }
      ]
    },
    {
      "id": "S02",
      "label": "整式及其运算",
      "children": [
        {
          "id": "P01",
          "label": "整式的概念",
          "skills": [
            "项与次数",
            "单项式多项式识别"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            1,
            2
          ],
          "children": []
        },
        {
          "id": "P02",
          "label": "同类项合并",
          "skills": [
            "合并规则",
            "表达式化简"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            2,
            3
          ],
          "children": []
        },
        {
          "id": "P03",
          "label": "整式的加减",
          "skills": [
            "去括号",
            "合并同类项"
          ],
          "direct_score": [
            1,
            3
          ],
          "related_score": [
            2,
            4
          ],
          "children": []
        },
        {
          "id": "P04",
          "label": "整式的乘法",
          "skills": [
            "分配律",
            "乘法技巧"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            3,
            5
          ],
          "children": []
        },
        {
          "id": "P05",
          "label": "乘法公式",
          "skills": [
            "平方差",
            "完全平方"
          ],
          "direct_score": [
            1,
            3
          ],
          "related_score": [
            2,
            4
          ],
          "children": []
        },
        {
          "id": "P06",
          "label": "因式分解",
          "skills": [
            "提公因式",
            "平方差逆用",
            "完全平方逆用",
            "分组分解",
            "十字相乘法",
            "AC分解法"
          ],
          "direct_score": [
            3,
            5
          ],
          "related_score": [
            5,
            8
          ],
          "children": [
            {
              "id": "F01",
              "label": "分式化简",
              "skills": [
                "因式约分",
                "整体化简"
              ],
              "direct_score": [
                2,
                3
              ],
              "related_score": [
                4,
                6
              ],
              "children": []
            },
            {
              "id": "F02",
              "label": "分式运算",
              "skills": [
                "通分",
                "加减乘除"
              ],
              "direct_score": [
                2,
                4
              ],
              "related_score": [
                4,
                6
              ],
              "children": []
            },
            {
              "id": "F03",
              "label": "一元二次方程",
              "skills": [
                "因式分解解法",
                "配方法",
                "公式法"
              ],
              "direct_score": [
                4,
                6
              ],
              "related_score": [
                6,
                10
              ],
              "children": []
            },
            {
              "id": "F04",
              "label": "二次函数最值",
              "skills": [
                "顶点式",
                "开口判断"
              ],
              "direct_score": [
                2,
                4
              ],
              "related_score": [
                6,
                10
              ],
              "children": []
            },
            {
              "id": "F05",
              "label": "压轴综合",
              "skills": [
                "代数几何结合",
                "最值结构分析"
              ],
              "direct_score": [
                0,
                0
              ],
              "related_score": [
                8,
                18
              ],
              "children": []
            }
          ]
        }
      ]
    },
    {
      "id": "S03",
      "label": "方程与不等式",
      "children": [
        {
          "id": "E01",
          "label": "一元一次方程",
          "skills": [
            "移项",
            "合并同类项"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            3,
            5
          ],
          "children": []
        },
        {
          "id": "E02",
          "label": "一元一次方程组",
          "skills": [
            "代入法",
            "加减法"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            3,
            5
          ],
          "children": []
        },
        {
          "id": "E03",
          "label": "一元一次不等式",
          "skills": [
            "不等式性质",
            "数轴表示"
          ],
          "direct_score": [
            1,
            3
          ],
          "related_score": [
            2,
            4
          ],
          "children": []
        },
        {
          "id": "E04",
          "label": "实际问题与方程",
          "skills": [
            "建模",
            "方程求解"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            4,
            6
          ],
          "children": []
        },
        {
          "id": "E05",
          "label": "一元二次方程",
          "skills": [
            "求根公式",
            "判别式"
          ],
          "direct_score": [
            4,
            6
          ],
          "related_score": [
            6,
            10
          ],
          "children": []
        }
      ]
    },
    {
      "id": "S04",
      "label": "函数初步",
      "children": [
        {
          "id": "H01",
          "label": "函数概念",
          "skills": [
            "对应关系",
            "自变量因变量"
          ],
          "direct_score": [
            1,
            2
          ],
          "related_score": [
            2,
            4
          ],
          "children": []
        },
        {
          "id": "H02",
          "label": "一次函数",
          "skills": [
            "斜率",
            "截距"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            4,
            6
          ],
          "children": []
        },
        {
          "id": "H03",
          "label": "二次函数",
          "skills": [
            "图像",
            "开口方向"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            5,
            8
          ],
          "children": []
        },
        {
          "id": "H04",
          "label": "函数最值",
          "skills": [
            "顶点判断",
            "区间比较"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            6,
            10
          ],
          "children": []
        },
        {
          "id": "H05",
          "label": "函数综合应用",
          "skills": [
            "代数几何结合",
            "方程法"
          ],
          "direct_score": [
            2,
            4
          ],
          "related_score": [
            6,
            10
          ],
          "children": []
        }
      ]
    }
  ]
}
