From de56db7015c3f1769f7ae09d22df06087f8c0e58 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Thu, 8 Feb 2024 14:31:34 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B923600=E7=AD=94=E6=A1=88?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) 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": [