From f76730fd5cbf742acb1ed5ed0921fcbe104ad0bd Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Mon, 4 Mar 2024 14:18:35 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E5=85=B3=E8=81=94=E9=A2=98?=
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---
 题库0.3/Problems.json | 29 ++++++++++++++++++++++++++++-
 1 file changed, 28 insertions(+), 1 deletion(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index a38e960a..1b2aefec 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -599077,7 +599077,9 @@
             "20230209\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024615"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -680605,6 +680607,31 @@
         "space": "4em",
         "unrelated": []
     },
+    "024615": {
+        "id": "024615",
+        "content": "在$\\triangle ABC$中, 已知$A=30^{\\circ}$, $b=18$.\\\\\n(1) 当$B$有且仅有一解时, $a$的取值范围为\\blank{50};\\\\\n(2) 当$B$有且仅有两解时, $a$的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "(1) $\\{9\\} \\cup \\left[18,+ \\infty \\right)$;\\\\\n(2) $\\left( 9,18 \\right)$.",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下校本作业-20240304修改",
+        "edit": [
+            "20230209\t王伟叶",
+            "20240304\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "021613"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",