录入2024届高三基础赋能卷09部分题目

题库0.3/Problems.json

@@ -18673,7 +18673,8 @@
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             "008487",
             "011055",
-            "011647"
+            "011647",
+            "019965"
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         "remark": "",
         "space": "",
@@ -32562,7 +32563,9 @@
             "20220625\t王伟叶"
         ],
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+        "related": [
+            "019964"
+        ],
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         "space": "",
         "unrelated": []
@@ -331198,7 +331201,9 @@
             "20221209\t王伟叶"
         ],
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+        "related": [
+            "019965"
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@@ -336408,7 +336413,9 @@
             "20221212\t王伟叶"
         ],
         "same": [],
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+        "related": [
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@@ -521004,6 +521011,153 @@
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         "unrelated": []
     },
+    "019964": {
+        "id": "019964",
+        "content": "抛物线 $y^2=4 x$ 的准线方程是\\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": [
+            "000979",
+            "031118",
+            "012354"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019965": {
+        "id": "019965",
+        "content": "计算: $\\displaystyle\\lim_{n\\to+\\infty}\\dfrac{2 n-1}{3 n+2}=$\\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": [
+            "000546",
+            "012183"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019966": {
+        "id": "019966",
+        "content": "已知 $\\sin \\alpha=\\dfrac{\\sqrt{5}}{5}$, 则 $\\sin ^4 \\alpha-\\cos ^4 \\alpha$ 的值为\\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": []
+    },
+    "019967": {
+        "id": "019967",
+        "content": "等比数列 $\\{a_n\\}$ 的首项 $a_1=1$, 公比为 $\\dfrac{1}{3}$, 则 $\\displaystyle\\lim _{n \\to+\\infty}(a_1+a_3+a_5+\\cdots a_{2 n-1})=$\\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": []
+    },
+    "019968": {
+        "id": "019968",
+        "content": "已知 $\\cos \\alpha-\\sin \\alpha=\\dfrac{\\sqrt{2}}{3}$, 则 $\\cos (\\dfrac{\\pi}{2}-2 \\alpha)=$\\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": []
+    },
+    "019969": {
+        "id": "019969",
+        "content": "在复平面内, 复数 $z=\\sin 2+\\mathrm{i}\\cos 2$ ($\\mathrm{i}$ 为虚数单位) 对应的点位于\\bracket{20}.\n\\fourch{第一象限}{第二象限}{第三象限}{第四象限}",
+        "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": []
+    },
+    "019970": {
+        "id": "019970",
+        "content": "已知椭圆的标准方程为 $\\dfrac{x^2}{16}+\\dfrac{y^2}{4}=1$, 则其焦距为\\bracket{20} .\n\\fourch{$\\sqrt{2}$}{$2 \\sqrt{2}$}{$2 \\sqrt{3}$}{$4 \\sqrt{3}$}",
+        "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.",
@@ -625402,7 +625556,9 @@
             "20230108\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019964"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []