nodes:
# 定义与度量
- id: CT1101
label: 角度与弧度
level: 1
color: "#4CAF50"
size: 30
shape: box
components: ["角度制", "弧度制", "换算关系"]
- id: CT1102
label: 单位圆
level: 1
color: "#4CAF50"
size: 30
shape: box
components: ["定义特征", "坐标意义", "参数表示"]
# 三角函数定义
- id: CT1103
label: 基本三角函数
level: 2
color: "#2196F3"
size: 30
shape: box
components: ["正弦函数", "余弦函数", "正切函数"]
- id: CT1104
label: 余切与正割余割
level: 2
color: "#2196F3"
size: 30
shape: box
components: ["余切函数", "正割函数", "余割函数"]
# 基本性质
- id: CT1105
label: 三角函数的周期性
level: 3
color: "#FFC107"
size: 30
shape: box
components: ["基本周期", "周期变化", "周期函数"]
- id: CT1106
label: 三角函数的对称性
level: 3
color: "#FFC107"
size: 30
shape: box
components: ["奇偶性", "轴对称", "点对称"]
url: math/trigonometric/core/三角函数对称性
# 基本关系
- id: CT1107
label: 基本三角恒等式
level: 4
color: "#FF9800"
size: 30
shape: box
components: ["平方关系", "商数关系", "倒数关系"]
- id: CT1108
label: 诱导公式
level: 4
color: "#FF9800"
size: 30
shape: box
components: ["角的周期性", "角的对称性", "象限转换"]
- id: CT1201
label: 三角形六要素
level: 1
color: "#4CAF50"
size: 30
shape: box
components: ["三边长度", "三个角度", "对应关系"]
- id: CT1202
label: 三角比
level: 1
color: "#4CAF50"
size: 30
shape: box
components: ["正弦比", "余弦比", "正切比"]
# 定理公式
- id: CT1203
label: 正弦定理
level: 2
color: "#2196F3"
size: 30
shape: box
components: ["边角关系", "外接圆半径", "应用条件"]
- id: CT1204
label: 余弦定理
level: 2
color: "#2196F3"
size: 30
shape: box
components: ["边角关系", "勾股定理推广", "应用条件"]
# 面积公式
- id: CT1205
label: 三角形面积
level: 3
color: "#FFC107"
size: 30
shape: box
components: ["正弦公式", "海伦公式", "投影法"]
# 基本方程
- id: CT1301
label: 基本三角方程
level: 1
color: "#4CAF50"
size: 30
shape: box
components: ["单一函数方程", "标准形式", "解集特征"]
- id: CT1302
label: 同角方程
level: 2
color: "#2196F3"
size: 30
shape: box
components: ["两个三角函数", "转化方法", "解集关系"]
# 复合方程
- id: CT1303
label: 三角函数变形方程
level: 3
color: "#FFC107"
size: 30
shape: box
components: ["角的变换", "函数变换", "解集变换"]
- id: CT1304
label: 三角不等式
level: 3
color: "#FFC107"
size: 30
shape: box
components: ["基本不等式", "复合不等式", "解集表示"]
# 应用方程
- id: CT1305
label: 三角方程应用
level: 4
color: "#FF9800"
size: 30
shape: box
components: ["实际问题", "模型建立", "解释验证"]
edges:
# 定义与度量的依赖关系
- from: CT1101
to: CT1102
width: 2
label: "1.0"
# 三角函数定义的依赖关系
- from: CT1101
to: CT1103
width: 2
label: "0.9"
- from: CT1102
to: CT1103
width: 2
label: "1.0"
- from: CT1103
to: CT1104
width: 2
label: "1.0"
# 基本性质的依赖关系
- from: CT1102
to: CT1105
width: 2
label: "0.9"
- from: CT1103
to: CT1105
width: 1
label: "0.8"
dashes: true
- from: CT1102
to: CT1106
width: 2
label: "1.0"
- from: CT1103
to: CT1106
width: 1
label: "0.8"
dashes: true
# 基本关系的依赖关系
- from: CT1103
to: CT1107
width: 2
label: "1.0"
- from: CT1104
to: CT1107
width: 1
label: "0.8"
dashes: true
- from: CT1103
to: CT1108
width: 2
label: "0.9"
- from: CT1105
to: CT1108
width: 1
label: "0.8"
dashes: true
- from: CT1106
to: CT1108
width: 1
label: "0.8"
dashes: true
- from: CT1103
to: CT1201
width: 1
label: "0.7"
dashes: true
- from: CT1102
to: CT1202
width: 2
label: "0.8"
- from: CT1103
to: CT1202
width: 2
label: "0.9"
# 定理公式依赖
- from: CT1201
to: CT1203
width: 2
label: "1.0"
- from: CT1202
to: CT1203
width: 2
label: "1.0"
- from: CT1201
to: CT1204
width: 2
label: "1.0"
- from: CT1202
to: CT1204
width: 2
label: "1.0"
- from: CT1203
to: CT1204
width: 1
label: "0.7"
dashes: true
# 面积公式依赖
- from: CT1203
to: CT1205
width: 1
label: "0.5"
dashes: true
# 基本方程依赖
- from: CT1103
to: CT1301
width: 2
label: "1.0"
- from: CT1105
to: CT1301
width: 2
label: "0.8"
- from: CT1107
to: CT1301
width: 2
label: "0.9"
- from: CT1108
to: CT1301
width: 2
label: "0.8"
- from: CT1301
to: CT1302
width: 2
label: "0.9"
- from: CT1107
to: CT1302
width: 1
label: "0.8"
dashes: true
# 复合方程依赖
- from: CT1301
to: CT1303
width: 2
label: "0.8"
- from: CT1302
to: CT1303
width: 2
label: "0.8"
- from: CT1103
to: CT1304
width: 2
label: "1.0"
- from: CT1105
to: CT1304
width: 2
label: "0.9"
- from: CT1106
to: CT1304
width: 2
label: "0.9"
- from: CT1107
to: CT1304
width: 1
label: "0.8"
dashes: true
- from: CT1301
to: CT1304
width: 2
label: "0.9"
# 应用方程依赖
- from: CT1303
to: CT1305
width: 2
label: "0.9"
- from: CT1302
to: CT1305
width: 1
label: "0.7"
dashes: true
- from: CT1203
to: CT1305
width: 1
label: "0.7"
dashes: true
- from: CT1204
to: CT1305
width: 1
label: "0.5"
dashes: true