修改18467图

题库0.3/Problems.json

@@ -500301,7 +500301,7 @@
     },
     "018467": {
         "id": "018467",
-        "content": "设常数$A>0$, $\\omega>0$, $0<\\varphi<\\pi$, 函数$y=A \\sin (\\omega x+\\varphi)$的部分图像如图所示.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-1.5,0) -- (3,0) node [below] {$x$};\n\\draw [->] (0,-2.5) -- (0,2.5) node [left] {$y$};\n\\draw (0,0) node [above right] {$O$};\n\\draw [domain = -1:{2*pi/3}, samples = 200] plot (\\x,{2*sin(2*\\x/pi*180+120)});\n\\filldraw ({pi/6},0) circle (0.03) node [below left] {\\small$\\dfrac{\\pi}{6}$};\n\\filldraw ({-pi/12},0) circle (0.03) node [below] {\\small$\\dfrac{\\pi}{12}$};\n\\filldraw (0,2) circle (0.03) node [right] {\\small$2$};\n\\draw [dashed] ({-pi/12},0) --++ (0,2) --(0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 求$A, \\omega, \\varphi$的值;\\\\\n(2) 求函数$y=A \\sin (\\omega x+\\varphi)$, $x \\in[0, \\dfrac{\\pi}{2}]$的最值.",
+        "content": "设常数$A>0$, $\\omega>0$, $0<\\varphi<\\pi$, 函数$y=A \\sin (\\omega x+\\varphi)$的部分图像如图所示.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-1.5,0) -- (3,0) node [below] {$x$};\n\\draw [->] (0,-2.5) -- (0,2.5) node [left] {$y$};\n\\draw (0,0) node [above right] {$O$};\n\\draw [domain = -1:{2*pi/3}, samples = 200] plot (\\x,{2*sin(2*\\x/pi*180+120)});\n\\filldraw ({pi/6},0) circle (0.03) node [below left] {\\small$\\dfrac{\\pi}{6}$};\n\\filldraw ({-pi/12},0) circle (0.03) node [below] {\\small$-\\dfrac{\\pi}{12}$};\n\\filldraw (0,2) circle (0.03) node [right] {\\small$2$};\n\\draw [dashed] ({-pi/12},0) --++ (0,2) --(0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 求$A, \\omega, \\varphi$的值;\\\\\n(2) 求函数$y=A \\sin (\\omega x+\\varphi)$, $x \\in[0, \\dfrac{\\pi}{2}]$的最值.",
         "objs": [],
         "tags": [
             "第三单元"
@@ -500313,7 +500313,8 @@
         "usages": [],
         "origin": "空中课堂必修第二册三角函数例题与习题",
         "edit": [
-            "20230705\t王伟叶"
+            "20230705\t王伟叶",
+            "20240214\t王伟叶"
         ],
         "same": [
             "030284"