From b033be0610f45c2c0a320a898a1e4fe6aa3058b4 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Mon, 11 Sep 2023 16:19:26 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B9G20260108-0111=E9=80=89?= =?UTF-8?q?=E9=A2=98=E5=8F=8A=E7=9B=B8=E5=85=B3=E9=A2=98=E7=9B=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 备课组/26届/lessons.json | 23 +++++-------- 题库0.3/Problems.json | 73 +++++++++++++++++++++++++++++++++++++--- 2 files changed, 78 insertions(+), 18 deletions(-) diff --git a/备课组/26届/lessons.json b/备课组/26届/lessons.json index 68735989..a045a7c8 100644 --- a/备课组/26届/lessons.json +++ b/备课组/26届/lessons.json @@ -345,6 +345,7 @@ ], "examples_basic": [ "009447", + "011792", "011793", "011794", "011795" @@ -357,9 +358,7 @@ "work_inclass": [ "010042", "010043", - "009448", "010045", - "010059", "010062" ], "homework": [ @@ -369,12 +368,10 @@ "020108", "020109", "020110", - "010058", "010060", - "010061", + "009448", "020111", - "020112", - "020113" + "010059" ], "remarks": "" }, @@ -393,15 +390,14 @@ "011797", "011798", "011799", - "011800" + "019807" ], "examples_adv": [ "019280" ], "work_inclass": [ - "009450", - "009451", - "011801" + "009449", + "009450" ], "homework": [ "010048", @@ -430,17 +426,17 @@ "B00086" ], "examples_basic": [ + "011804", + "001805", "011806", "011807", - "011808", - "011809" + "019808" ], "examples_adv": [ "020219", "020220" ], "work_inclass": [ - "010047", "010051", "010054", "010056" @@ -452,7 +448,6 @@ "020116", "020119", "020120", - "020121", "020124", "020127", "020133", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 8306e2e8..eca222d4 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -497934,13 +497934,13 @@ }, "019282": { "id": "019282", - "content": "已知 $0\\le \\alpha\\le \\beta\\le \\pi$.\\\\\n(1) 求 $\\alpha-\\beta$ 的最大值与最小值;\\\\\n(2) 求 $2 \\alpha-\\beta$ 的最大值与最小值.", + "content": "已知 $0\\le \\alpha\\le \\beta\\le \\pi$.\\\\\n(1) $\\alpha-\\beta$ 的最大值为\\blank{50}, 最小值为\\blank{50};\\\\\n(2) $2 \\alpha-\\beta$ 的最大值为\\blank{50}, 最小值为\\blank{50}.", "objs": [], "tags": [ "第一单元", "不等式" ], - "genre": "解答题", + "genre": "填空题", "ans": "(1) $\\alpha-\\beta$的最大值为$0$, 最小值为$-\\pi$;\\\\\n(2) $2\\alpha-\\beta$的最大值为$2\\pi$, 最小值为$-\\pi$.", "solution": "", "duration": -1, @@ -497952,7 +497952,7 @@ "same": [], "related": [], "remark": "", - "space": "4em", + "space": "", "unrelated": [] }, "019283": { @@ -509530,6 +509530,69 @@ "space": "4em", "unrelated": [] }, + "019807": { + "id": "019807", + "content": "(1) 已知$a>b>0$, 求证: $\\dfrac{1}{b}>\\dfrac{1}{a}>0$;\\\\\n (2) 已知$a>b>0$, $c>d>0$, 求证: $\\dfrac{a}{d}>\\dfrac{b}{c}$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "上教版新教材例题", + "edit": [ + "20230911\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019808": { + "id": "019808", + "content": "已知$a,b$是实数, 且$a>b$, 求证: $a^3>b^3$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230911\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019809": { + "id": "019809", + "content": "指出陈述句 $P$ 是陈述句 $Q$ 的什么条件. (用选项回答: A. 充分不必要 B. 必要不充分 C. 充分必要 D. 既不充分又不必要)\\\\\n(1) $P$: $x=0$, $Q$: $x^2=0$: \\bracket{20};\\\\\n(2) $P$: $x+y+z>0$, $Q$: $x>0$ 或 $y>0$ 或 $z>0$: \\bracket{20};\\\\\n(3) $P$: $x+y+z>0$, $Q$: $x>0$ 且 $y>0$ 且 $z>0$: \\bracket{20};\\\\\n(4) $P$: $x / y>0$, $Q$: $x y>0$: \\bracket{20};\\\\\n(5) $P$: $x / y \\geq 0$, $Q$: $x y \\geq 0$: \\bracket{20};\\\\\n(6) $P$: $(x-3)^2+(y+4)^2=0$, $Q$: $(x-3)(y-4)=0$: \\bracket{20};\\\\\n(7) $P$: $x+y>0$ 且 $x y>0$, $Q$: $x>0$ 且 $y>0$: \\bracket{20};\\\\\n(8) $P$: $x+y>4$ 且 $x y>4$, $Q$: $x>2$ 且 $y>2$: \\bracket{20};\\\\\n(9) $P$: 函数 $y=k x+b$ 的图像通过原点 (其中 $k, b$ 为常数), $Q$: $b=0$: \\bracket{20};\\\\\n(10) $P$: $x z>y z$ 且 $z \\neq 0$, $Q$: $x>y$ 且 $z \\neq 0$: \\bracket{20};\\\\\n(11) $P$: $|x|<2$, $Q$: $x<2$: \\bracket{20};\\\\\n(12) $P$: $x^2+1=y$ 且 $x+1=y$, $Q$: $x^2=x$ 且 $x^2+1=y$: \\bracket{20}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一上学期周末卷03-20230911修改", + "edit": [ + "20230905\t王伟叶", + "20230911\t赵琍琍" + ], + "same": [], + "related": [ + "022181" + ], + "remark": "", + "space": "", + "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.", @@ -568906,7 +568969,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019809" + ], "remark": "", "space": "", "unrelated": []