添加24届赋能补充题目至1B

题库0.3/Problems.json

@@ -616671,6 +616671,86 @@
         "space": "4em",
         "unrelated": []
     },
+    "023003": {
+        "id": "023003",
+        "content": "记异面直线 $a$ 和 $b$ 所成的角为 $\\theta$, 则 $\\theta$ 的取值范围是\\bracket{20}.\n\\fourch{$(0, \\dfrac{\\pi}{2})$}{$(0, \\pi)$}{$(0, \\dfrac{\\pi}{2}]$}{$(0, \\pi]$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240104\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023004": {
+        "id": "023004",
+        "content": "函数 $y=\\sin 2 x$ 的图像与函数 $y=\\cos x$ 的图像在区间 $[0,2 \\pi)$ 上交点的个数是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240104\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023005": {
+        "id": "023005",
+        "content": "若 $2-\\mathrm{i}$ 是关于 $x$ 的方程 $x^2+p x+q=0$ 的一个根 (其中 $\\mathrm{i}$ 为虚数单位, $p, q \\in \\mathbf{R}$ ), 则 $q$ 的值为\\bracket{20}.\n\\fourch{$-5$}{$5$}{$-3$}{$3$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240104\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023006": {
+        "id": "023006",
+        "content": "若 $m$ 为实数且 $m \\neq 0$, 则``$m>0$''是``函数 $f(x)=|x(m x+2)|$ 在区间 $(0,+\\infty)$ 上严格增''的 \\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分也非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240104\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "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.",