From 997e877d7163b1a55620252517c70773d40cad7f Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Mon, 19 Feb 2024 12:35:12 +0800 Subject: [PATCH] =?UTF-8?q?=E7=BC=96=E8=BE=9140071=E9=A2=98=E9=9D=A2?= 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 8da6f343..a2168ce6 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -725312,7 +725312,7 @@ }, "040071": { "id": "040071", - "content": "设常数$a \\in \\mathbf{R}$, $\\cos x=a$分别有如下情况, 写出相应的取值范围.\\\\\n(1) 方程$\\cos x=a$在$[-\\dfrac{2 \\pi}{3}, \\dfrac{\\pi}{3}]$内恰有$1$个$x$, 则$a$的取值范围为\\blank{50};\\\\\n(2) 设常数$m>-\\dfrac{2 \\pi}{3}$. 当$a=\\dfrac{1}{2}$时, 方程$\\cos x=a$在$[-\\dfrac{2 \\pi}{3}, m]$内恰有一个$x$, 则$m$的取值范围为\\blank{50};\\\\\n(3) 常数$a$使得: 对于任意常数$m>-\\dfrac{2 \\pi}{3}$, 方程$\\cos x=a$在$[-\\dfrac{2 \\pi}{3}, m]$内总是至少有一个$x$存在, 则$a$的取值范围为\\blank{50}.", + "content": "设常数$a \\in \\mathbf{R}$. \\\\\n(1) 若关于$x$的方程$\\cos x=a$在区间$[-\\dfrac{2 \\pi}{3}, \\dfrac{\\pi}{3}]$上恰有$1$个解, 则$a$的取值范围为\\blank{50};\\\\\n(2) 设常数$m>-\\dfrac{2 \\pi}{3}$. 当$a=\\dfrac{1}{2}$时, 关于$x$的方程$\\cos x=a$在区间$[-\\dfrac{2 \\pi}{3}, m]$上恰有一解, 则$m$的取值范围为\\blank{50};\\\\\n(3) 若对于任意常数$m>-\\dfrac{2 \\pi}{3}$, 关于$x$的方程$\\cos x=a$在$[-\\dfrac{2 \\pi}{3}, m]$内总是至少有一解, 则$a$的取值范围为\\blank{50}.", "objs": [], "tags": [ "第三单元" @@ -725324,7 +725324,8 @@ "usages": [], "origin": "2025届高一下学期周末卷02", "edit": [ - "20230224\t王伟叶" + "20230224\t王伟叶", + "20240219\t王伟叶" ], "same": [], "related": [],