{
 "app": "MathPad",
 "version": 3,
 "nextId": 24,
 "regions": [
  {
   "id": 1,
   "x": 60,
   "y": 40,
   "kind": "text",
   "latex": "",
   "text": "高中经典例题 —— 三题都示范了单位的写法与换算：点结果里的单位即可切换（例如 0.1 m ↔ 10 cm）"
  },
  {
   "id": 2,
   "x": 60,
   "y": 74,
   "kind": "text",
   "latex": "",
   "text": "第一题 · 力学：水平面上的物体，用牛顿第二定律求加速度，再画速度与位移随时间的变化（注意质量变量用 mass 而不是 m——m 是单位\"米\"）"
  },
  {
   "id": 3,
   "x": 78,
   "y": 127,
   "kind": "math",
   "latex": "mass:=2kg",
   "text": ""
  },
  {
   "id": 4,
   "x": 78,
   "y": 177,
   "kind": "math",
   "latex": "F:=10N",
   "text": ""
  },
  {
   "id": 5,
   "x": 78,
   "y": 227,
   "kind": "math",
   "latex": "\\mu:=0.3",
   "text": ""
  },
  {
   "id": 6,
   "x": 78,
   "y": 277,
   "kind": "math",
   "latex": "a:=\\frac{F-\\mu\\,mass\\,g_{\\text{n}}}{mass}=",
   "text": ""
  },
  {
   "id": 7,
   "x": 78,
   "y": 341,
   "kind": "math",
   "latex": "plot(a\\cdot x; \\frac{a\\,x\\text{\\textasciicircum}^{2}}{2}, 0, 6)",
   "text": ""
  },
  {
   "id": 8,
   "x": 60,
   "y": 709,
   "kind": "text",
   "latex": "",
   "text": "第二题 · 电学：串联电路的电流、分压与电功率，并画伏安特性曲线"
  },
  {
   "id": 9,
   "x": 78,
   "y": 743,
   "kind": "math",
   "latex": "U:=12V",
   "text": ""
  },
  {
   "id": 10,
   "x": 78,
   "y": 793,
   "kind": "math",
   "latex": "R_{1}:=4ohm",
   "text": ""
  },
  {
   "id": 11,
   "x": 78,
   "y": 843,
   "kind": "math",
   "latex": "R_{2}:=8ohm",
   "text": ""
  },
  {
   "id": 12,
   "x": 78,
   "y": 893,
   "kind": "math",
   "latex": "I:=\\frac{U}{R_{1}+R_{2}}=",
   "text": ""
  },
  {
   "id": 13,
   "x": 78,
   "y": 958,
   "kind": "math",
   "latex": "U_{1}:=I\\cdot R_{1}=",
   "text": ""
  },
  {
   "id": 14,
   "x": 78,
   "y": 1008,
   "kind": "math",
   "latex": "P:=I\\text{\\textasciicircum}^{2}\\cdot \\left(R_{1}+R_{2}\\right)=",
   "text": ""
  },
  {
   "id": 15,
   "x": 78,
   "y": 1058,
   "kind": "math",
   "latex": "W:=P\\cdot 10min=",
   "text": ""
  },
  {
   "id": 16,
   "x": 78,
   "y": 1108,
   "kind": "math",
   "latex": "plot(\\frac{x}{R_{1}+R_{2}}, 0, 24)",
   "text": ""
  },
  {
   "id": 17,
   "x": 60,
   "y": 1472,
   "kind": "text",
   "latex": "",
   "text": "第三题 · 运动学：汽车以 20 m/s 行驶、以 2 m/s² 减速，求刹车时间与刹车距离，并画 v–t、s–t 图"
  },
  {
   "id": 18,
   "x": 78,
   "y": 1506,
   "kind": "math",
   "latex": "v_{0}:=20m/s",
   "text": ""
  },
  {
   "id": 19,
   "x": 78,
   "y": 1556,
   "kind": "math",
   "latex": "a_{0}:=-2m/s\\text{\\textasciicircum}^{2}",
   "text": ""
  },
  {
   "id": 20,
   "x": 78,
   "y": 1606,
   "kind": "math",
   "latex": "t_{stop}:=\\frac{-v_{0}}{a_{0}}=",
   "text": ""
  },
  {
   "id": 21,
   "x": 78,
   "y": 1669,
   "kind": "math",
   "latex": "s_{max}:=v_{0}\\,t_{stop}+\\frac{a_{0}\\,t_{stop}\\text{\\textasciicircum}^{2}}{2}=",
   "text": ""
  },
  {
   "id": 22,
   "x": 78,
   "y": 1739,
   "kind": "math",
   "latex": "plot(v_{0}+a_{0}\\cdot x; v_{0}x+\\frac{a_{0}\\,x\\text{\\textasciicircum}^{2}}{2}, 0, 12)",
   "text": ""
  },
  {
   "id": 23,
   "x": 60,
   "y": 2108,
   "kind": "text",
   "latex": "",
   "text": "单位换算：把鼠标移到上面任意一个带单位的结果上点一下（或点区域右上角的 ⇄），就能换成 cm、km/h 等其它单位，数值自动换算，下游计算不变。例如把 s_max 的 m 换成 km，会显示成 0.1 km"
  }
 ]
}