2024高一下·全国·专题练习
名校
1 . 如图所示,水平放置的
的斜二测直观图是图中的
,已知
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061989be1f8110209a399bfc3a3b49b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e72ee8041115fd751e5ba16297403a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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2 . 在《九章算术》中,将底面为矩形且有一条侧棱与底面垂直的四棱锥称为“阳马”.如图,四棱锥
为阳马,侧棱
底面
为棱
的中点,则直线
与平面
所成角的余弦值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3077da696f20c159f3b6b2b2078b4e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
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3 . 已知
为虚数单位,若复数
,
是
的共轭复数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e7e0f124ea1cd17d235cbbc65a75de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
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解题方法
4 . 已知
的内角分别为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9727bc99e9b16e7f967bb93512a83755.png)
______ .
![](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/5667c716bb1f451feff739b10f337646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f634a83e08e79977f9f31b3bda0fea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9727bc99e9b16e7f967bb93512a83755.png)
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5 . “文翁千载一时珍,醉卧襟花听暗吟”表达了对李时珍学识渊博、才华横溢的赞叹.李时珍是湖北省蕲春县人,明代著名医药学家.他历经27个寒暑,三易其稿,完成了192万字的巨著《本草纲目》,被后世尊为“药圣”.为纪念李时珍,人们在美丽的蕲春县独山修建了一座雕像,如图所示.某数学学习小组为测量雕像的高度,在地面上选取共线的三点A、B、C,分别测得雕像顶的仰角为
,且
米,则雕像高为_____________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e5b7ab130dbdf2de6fbcdb7030943b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65eb3f80b696f17a3aa70760286f622.png)
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6 . 已知
是虚数单位,复数
,则复数
的虚部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384849588f3e67d7da22738b08ca2b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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7 . 如图,为测量武汉防汛纪念碑
的高度及取景点
与
之间的距离(
在同一水平面上,雕像垂直该水平面于点
,且
三点共线),华中师大一附中研究性学习小组同学在
三点处测得顶点
的仰角分别为
,若
米,则纪念碑的高度为______ 米,取景点
与
之间的距离为______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195f3742cd450167b29043ef1b279035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28855a0db693584aabac1df99dfade3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9909276965b7e30b049baf8b7685a39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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8 . 如图,已知
是水平放置的
用斜二测画法画出的直观图,
在
轴上,
与
轴垂直,且
,则
的边
上的高为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ed6cbf3f2963a662c3a96a5628d1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea74bcb2642f3bdeb0f6d67b5baca43a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fc124a9e54104620f3862f99ba3f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85c632e08ce1b355808bc7a9ad9a051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fc124a9e54104620f3862f99ba3f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb63eab9f3e7554728a72366084d832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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9 . 已知圆台的高为
,上底面半径为
,下底面半径为
,则该圆台的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
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2024-05-06更新
|
677次组卷
|
5卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题
湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题福建师范大学附属中学2023-2024学年高一下学期期中考试数学试卷(已下线)6.6.1-2 柱、锥、台的表面积和体积-同步精品课堂(北师大版2019必修第二册)广东省江门市新会第一中学等2023-2024学年高一下学期5月联考数学试题(已下线)专题05 立体几何初步(2)-期末考点大串讲(苏教版(2019))
10 . 把函数
的图象向右平移
个单位长度,设所得图象的解析式为
,若
是奇函数,则最小的正数
是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcad71803be508d7cd292e5b31d7ccc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93a232c88870d213a7b74a796a1ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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