录入24届赋能补充题至2B

题库0.3/Problems.json

@@ -616751,6 +616751,86 @@
         "space": "",
         "unrelated": []
     },
+    "023007": {
+        "id": "023007",
+        "content": "在 $(x+\\dfrac{1}{x^2})^7$ 的二项展开式中, 一次项的系数是\\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": []
+    },
+    "023008": {
+        "id": "023008",
+        "content": "若函数 $f(x)=x^{-1}$ 的导函数为 $y=f'(x)$, 则 $f'(2)=$\\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": []
+    },
+    "023009": {
+        "id": "023009",
+        "content": "若空间中三条不同的直线 $l_1$、$l_2$、$l_3$, 满足 $l_1 \\perp l_2$, $l_2 \\parallel  l_3$, 则下列结论一定正确的是\\bracket{20}.\n\\fourch{$l_1 \\perp l_3$}{$l_1 \\parallel  l_3$}{$l_1$、$l_3$ 异面}{$l_1$、$l_3$ 相交}",
+        "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": []
+    },
+    "023010": {
+        "id": "023010",
+        "content": "设 $a, b \\in \\mathbf{R}$. 若 $a>b$, 则\\bracket{20}.\n\\fourch{$\\dfrac{1}{a}<\\dfrac{1}{b}$}{$\\lg a>\\lg b$}{$\\sin a>\\sin b$}{$2^a>2^b$}",
+        "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.",