收录E20260202预选新题

工具v2/文本文件/新题收录列表.txt

@@ -448,3 +448,6 @@
 20240319-151757 高一下学期随堂练习05
 024730:024738
 
+20240319-153631 高一下学期测验02预选
+024739:024744,013659,011448,004308
+

题库0.3/Problems.json

@@ -327291,7 +327291,9 @@
             "20220818\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024742"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -364237,7 +364239,9 @@
             "20230113\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024739"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -687102,6 +687106,130 @@
         "space": "4em",
         "unrelated": []
     },
+    "024739": {
+        "id": "024739",
+        "content": "$f(x)=\\tan (x+\\dfrac{\\pi}{3})$ 的定义域是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "012760"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024740": {
+        "id": "024740",
+        "content": "$f(x)=\\sin ^2 x+\\cos x$ 的值域是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024741": {
+        "id": "024741",
+        "content": "函数 $f(x)=\\sin (2 x+\\theta)-\\sqrt{3}\\cos (2 x+\\theta)$ 是偶函数. 则最小正实数 $\\theta=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024742": {
+        "id": "024742",
+        "content": "已知 $\\omega \\in \\mathbf{R}, $``$\\omega=\\pi$''是``函数 $f(x)=\\sin \\omega x \\cdot \\cos \\omega x$ 的最小正周期是 1''的\\blank{50}\n条件;",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "011507"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024743": {
+        "id": "024743",
+        "content": "已知函数 $y=f(x)$,$x \\in \\mathbf{R}$, 满足$f(x+\\pi)=f(x)+\\sin x$, 且当$0 \\leq x<\\pi$ 时, $f(x)=0$.\n则 $f(\\dfrac{17 \\pi}{6})=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024744": {
+        "id": "024744",
+        "content": "已知 $x \\in(\\dfrac{\\pi}{2}, \\theta)$, 若对于任意 $a \\in (18,+\\infty)$. 关于 $x$ 的方程 $a \\sin x-9=0$ 至少有两个不同解, 则实数 $\\theta$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240319\t朱敏慧"
+        ],
+        "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.",