录入2024届高三基础赋能卷10部分题目

题库0.3/Problems.json

@@ -13642,7 +13642,8 @@
         ],
         "related": [
             "001721",
-            "004470"
+            "004470",
+            "019974"
         ],
         "remark": "",
         "space": "",
@@ -110907,7 +110908,8 @@
             "002961",
             "004125",
             "011091",
-            "011475"
+            "011475",
+            "019971"
         ],
         "remark": "",
         "space": "",
@@ -124438,7 +124440,8 @@
         "same": [],
         "related": [
             "003421",
-            "004534"
+            "004534",
+            "019976"
         ],
         "remark": "",
         "space": "",
@@ -314981,7 +314984,8 @@
             "004469",
             "011091",
             "011475",
-            "011604"
+            "011604",
+            "019971"
         ],
         "remark": "",
         "space": "",
@@ -521158,6 +521162,173 @@
         "space": "",
         "unrelated": []
     },
+    "019971": {
+        "id": "019971",
+        "content": "不等式 $\\dfrac{x}{x-1}>2$ 的解集为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "003675",
+            "011559"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019972": {
+        "id": "019972",
+        "content": "设全集 $U=\\mathbf{R}$, 若 $A=\\{-2,-1,0,1,2\\}$, $B=\\{x | y=\\log _3(1-x)\\}$, 则 $A \\cap \\overline{B}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019973": {
+        "id": "019973",
+        "content": "在 $(x-\\dfrac{2}{x})^5$ 的展开式中 $x$ 的系数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019974": {
+        "id": "019974",
+        "content": "若一个球的表面积为 $4 \\pi$, 则它的体积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "000419"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019975": {
+        "id": "019975",
+        "content": "函数 $f(x)=x+\\dfrac{8}{x}$, $x \\in[2,8)$ 的值域为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019976": {
+        "id": "019976",
+        "content": "双曲线 $\\dfrac{x^2}{4}-\\dfrac{y^2}{3}=1$ 的焦点到其渐近线的距离为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "004169"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019977": {
+        "id": "019977",
+        "content": "已知 $x \\in \\mathbf{R}$, 则``$|x-\\dfrac{1}{3}|<\\dfrac{2}{3}$''是``$x<1$''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019978": {
+        "id": "019978",
+        "content": "关于三个不同平面 $\\alpha, \\beta, \\gamma$ 与直线 $l$, 下列命题中的假命题是\\bracket{20}.\n\\onech{若 $\\alpha \\perp \\beta$, 则 $\\alpha$ 内一定存在直线平行于 $\\beta$}{若 $\\alpha$ 与 $\\beta$ 不垂直, 则 $\\alpha$ 内一定不存在直线垂直于 $\\beta$}{若 $\\alpha \\perp \\gamma$, $\\beta \\perp \\gamma$, $\\alpha \\cap \\beta=l$, 则 $l \\perp \\gamma$}{若 $\\alpha \\perp \\beta$, 则 $\\alpha$ 内所有直线垂直于 $\\beta$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "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.",