diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 19fb8b22..8058f701 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -643476,14 +643476,15 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "当$a \\in (-\\infty, -\\dfrac{\\sqrt{2}}{2})\\cup (1,+\\infty)$ 时，方程实数解个数为$0$个; \\\\\n当$a \\in [-\\dfrac{\\sqrt{2}}{2},0)\\cup \\{1\\}$ 时，方程实数解个数为$1$个; \\\\\n当$a \\in [0,1)$时，方程实数解个数为$2$个",
+        "ans": "\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-0.5,0) -- (4.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = 0:{5*pi/4}, samples = 100] plot (\\x,{sin(\\x/pi*180)});\n\\draw [dashed] (pi/2,0) node [below] {$\\frac{\\pi}{2}$} -- (pi/2,1) -- (0,1) node [left] {$1$};\n\\draw [dashed] (pi*5/4,0) node [above] {$\\frac{5\\pi}{4}$} -- (pi*5/4,{-sqrt(2)/2}) -- (0,{-sqrt(2)/2}) node [left] {$-\\frac{\\sqrt{2}}{2}$};\n\\end{tikzpicture}\n\\end{center}\n当$a \\in (-\\infty, -\\dfrac{\\sqrt{2}}{2})\\cup (1,+\\infty)$ 时，方程实数解个数为$0$个; \\\\\n当$a \\in [-\\dfrac{\\sqrt{2}}{2},0)\\cup \\{1\\}$ 时，方程实数解个数为$1$个; \\\\\n当$a \\in [0,1)$时，方程实数解个数为$2$个",
         "solution": "",
         "duration": -1,
         "usages": [],
         "origin": "2025届高一下校本作业-20240116修改",
         "edit": [
             "20230209\t王伟叶",
-            "20240116\t朱敏慧"
+            "20240116\t朱敏慧",
+            "20240208\t王伟叶"
         ],
         "same": [],
         "related": [