ui_dump.xml

<?xml version='1.0' encoding='UTF-8' standalone='yes' ?><hierarchy rotation="0"><node index="0" text="" resource-id="" class="android.widget.FrameLayout" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.widget.LinearLayout" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="1" hint=""><node index="0" text="" resource-id="android:id/content" class="android.widget.FrameLayout" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="2" hint=""><node index="0" text="" resource-id="" class="android.widget.FrameLayout" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="1" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,2400]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="false" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[0,0][1080,279]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="FormulaFix" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[23,160][369,239]" drawing-order="0" hint="" /><node index="1" text="" resource-id="" class="android.widget.Button" package="com.example.formula_fix" content-desc="文件管理" checkable="false" checked="false" clickable="true" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[720,144][833,256]" drawing-order="0" hint="" /><node index="2" text="" resource-id="" class="android.widget.Button" package="com.example.formula_fix" content-desc="模板" checkable="false" checked="false" clickable="true" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[833,144][945,256]" drawing-order="0" hint="" /><node index="3" text="" resource-id="" class="android.widget.Button" package="com.example.formula_fix" content-desc="更多" checkable="false" checked="false" clickable="true" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[945,132][1080,267]" drawing-order="0" hint="" /></node><node index="1" text="" resource-id="" class="android.widget.ScrollView" package="com.example.formula_fix" content-desc="" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="true" long-clickable="false" password="false" selected="false" bounds="[45,324][1035,2108]" drawing-order="0" hint=""><node index="0" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="在微积分里，求一个曲面的法向量，只需要对它分别求偏导。于是，曲面上任意一点的法向量 vec{n} 就是：" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,324][990,447]" drawing-order="0" hint="" /><node index="1" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="vec{n} = (f_x, f_y, -1)" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,447][530,521]" drawing-order="0" hint="" /><node index="2" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="(也就是：对x求偏导，对y求偏导，对z求偏导是-1)" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,521][990,667]" drawing-order="0" hint="" /><node index="3" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="&#128208; 第二步：找出底面的“法向量”" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,757][746,830]" drawing-order="0" hint="" /><node index="4" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="我们的底面是 xOy 平面（也就是水平地面）。水平地面的法向量 vec{k} 是垂直于地面向上的，也就是 z 轴的方向向量：" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,830][990,1049]" drawing-order="0" hint="" /><node index="5" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="vec{k} = (0, 0, 1)" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1049][440,1122]" drawing-order="0" hint="" /><node index="6" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="&#128290; 第三步：用向量夹角公式求余弦" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1212][800,1286]" drawing-order="0" hint="" /><node index="7" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="我们要求的夹角 gamma，其实就是曲面法向量 vec{n} 和 底面法向量 vec{k} 之间的夹角。" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1286][990,1505]" drawing-order="0" hint="" /><node index="8" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="根据向量点乘的夹角公式 cosgamma = frac{|vec{n} cdot vec{k}|}{|vec{n}| cdot |vec{k}|}，我们代入算一下：" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1505][990,1724]" drawing-order="0" hint="" /><node index="9" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="vec{n} cdot vec{k} = (f_x, f_y, -1) cdot (0, 0, 1) = -1" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1814][990,1961]" drawing-order="0" hint="" /><node index="10" text="" resource-id="" class="android.view.View" package="com.example.formula_fix" content-desc="因为我们只关心面积（标量），取绝对值，所以分子是 1。" checkable="false" checked="false" clickable="false" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[90,1961][990,2107]" drawing-order="0" hint="" /></node><node index="2" text="" resource-id="" class="android.widget.Button" package="com.example.formula_fix" content-desc="编辑" checkable="false" checked="false" clickable="true" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[45,2186][523,2321]" drawing-order="0" hint="" /><node index="3" text="" resource-id="" class="android.widget.Button" package="com.example.formula_fix" content-desc="导出" checkable="false" checked="false" clickable="true" enabled="true" focusable="true" focused="false" scrollable="false" long-clickable="false" password="false" selected="false" bounds="[557,2186][1035,2321]" drawing-order="0" hint="" /></node></node></node></node></node></node></node></hierarchy>