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解题方法
1 . 在圆台
中,圆
的半径是2,母线
,圆
是
的外接圆,
,
,则三棱锥体积最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2899e607479d8d1c47d954ae9ebb7144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d81d732204a3c2384a27606f858677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
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2 . 已知函数
的图象向左平移
个单位长度得到
的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec27d2122104783eb0e5363724fb7e8d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159b8c213a2823d7996bc4f57fd12b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b6ae6ce67b1e6bacf10a5e163e6eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec27d2122104783eb0e5363724fb7e8d.png)
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解题方法
3 . 在《九章算术》中,将四个面都是直角三角形的四面体称为鳖臑,在鳖臑
中
,
,
,
,
,已知动点E从C点出发,沿外表面经过棱AD上一点到点B的最短距离为
,则该棱锥的外接球的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915e8e775538d41debf1933102c6b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c90da0cd2708481057fe19acebf2ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4ab7e657f01bdfa235f8c4d6681d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed18447a59016c8c89d1561f7dd5172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
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4 . 在四面体ABCD中,
,且
,则该四面体的外接球表面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43a7eabfc91ad9c5d614d40b68953fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d958839b418bbefd0504ad7c76eaf37.png)
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5 . 在
中,内角
所对的边分别为
,满足
,
是边
的中点,
,且
,则
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5458cf682081953c2d6ecdb13ca67291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a80d642494e68c4bd5219a7c67ffe5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47f2b6e8510964c9df2cc058891eb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f3107cdd4180a3b37b8a22d8ececbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2024-06-13更新
|
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2卷引用:福建省安溪第一中学2023-2024学年高一下学期5月份质量检测数学试题
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6 . 已知“
”表示小于x的最大整数,例如
,
.若
恰好有四个解,那么
的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2efc4b458ea20c1acca4317505e9fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc3f3a0108359eb21062e0b03ac3729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df261b82a7ad6d9e35c0cd742e301b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29babd496e6c9b196f83bba77eac477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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7 . 如图,海岸线上有相距
的两座灯塔A,B,灯塔B位于灯塔A的正南方向,海上停泊着两艘货轮,甲船位于灯塔A的北偏西
方向,与A相距
的D处;乙船位于塔B的北偏西
方向,与B相距
的C处,则两货轮的距离为________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac51f0f2543082b56ea13b38d425a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79fb11b8c808bb9d9a8e1f4c53cddd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24e9c7fb53a7e976d21877bf60f545c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac51f0f2543082b56ea13b38d425a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce4bd6d4a13a1e82d8806a3195332c5.png)
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8 . 记
的内角
的对边分别为
.已知
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a92cfa82ed0e7652b482635e72a84ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc940e481607daedc1e83e98ec3bd4c0.png)
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9 . 已知正方体
棱长为
,点
在正方体内部运动(包括表面),且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
平面
,则动点
的轨迹所形成区域的面积为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57132b0bd38c035fec010ee3be1bc8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2024-04-30更新
|
765次组卷
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福建省晋江二中、奕聪中学、广海中学、泉港五中、马甲中学2023-2024学年高一下学期期中考试数学试题(已下线)第8.5.3讲 平面与平面平行-同步精讲精练宝典(人教A版2019必修第二册)(已下线)6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)陕西省西安市南开高级中学2023-2024学年高一下学期五月月考数学试卷
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10 . 在
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78363dd37fefe1bc5d98a6170149ad90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
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2024-04-18更新
|
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|
3卷引用:福建省安溪第八中学2024届高三下学期5月份质量检测数学试题