From 0fc8ef2674a4b25104d49eb54fa639840533835c Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Tue, 17 Oct 2023 14:41:46 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E5=85=B3=E8=81=94=E9=A2=98?=
 =?UTF-8?q?=E7=9B=AE19875?=
MIME-Version: 1.0
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---
 题库0.3/Problems.json | 27 ++++++++++++++++++++++++++-
 1 file changed, 26 insertions(+), 1 deletion(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index bb96ea2b..8ab032f8 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -514393,7 +514393,9 @@
             "20230802\t严捷"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019875"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -516670,6 +516672,29 @@
         "space": "4em",
         "unrelated": []
     },
+    "019875": {
+        "id": "019875",
+        "content": "已知幂函数 $f(x)=x^m$.\\\\\n(1) 若 $m>0$, 求证: 在区间$[0,+\\infty)$上, 函数 $y=f(x)$ 中$y$随$x$的(严格)增大而(严格)增大;\\\\\n(2) 若 $m<0$, 求证: 在区间$(0,+\\infty)$上, 函数 $y=f(x)$ 中$y$随$x$的(严格)增大而(严格)减小.",
+        "objs": [],
+        "tags": [],
+        "genre": "4em",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目-20231017修改",
+        "edit": [
+            "20230802\t严捷",
+            "20231017\t徐慧"
+        ],
+        "same": [],
+        "related": [
+            "019800"
+        ],
+        "remark": "为了首次授课时使用改动了单调性的描述方式",
+        "space": "4em",
+        "unrelated": []
+    },
     "020001": {
         "id": "020001",
         "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",