名校
解题方法
1 . (1)已知
,求
的解析式.
(2)已知一次函数
的图象经过点
和
,且
.若
的单调递增区间是
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922c78abf199e86c5b96b6670049e6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c6d785c3c09b9df343499dc11cadaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff66a9f012ad5252a0ec209abe00825d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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名校
2 . 求值:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9552055e74580d7f6b383910533da8e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9552055e74580d7f6b383910533da8e.png)
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3 . 如图,马鞍山长江公铁大桥是巢马城际铁路控制性工程,总长3248米,为世界上首座双主跨超千米的三塔斜拉桥,同时也是世界上最长联钢桁梁斜拉桥.为了解桥的一些结构情况,某学校道路桥梁工程设计学习小组将大桥的结构进行了简化,取其部分抽象成图中所示的模型,其中
为其中两座桥塔的高,通过测量得知
米,
米,点
在线段
上,且在点
处测得
的顶端
的仰角为
,在点
处测得
的顶端
的仰角为
.当
时,
.
(1)求主塔的高
的长度.
(2)是否存在点
,使得
?如果存在,求出点
的位置;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12b400dfa686367508995374a00a3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d5678c9fae17f185fc425443fb59cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9330f5a1902fe99fc5edd744fbe9146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f4a36e9089b508ee66776f23122519.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/70021eaf-7a9a-4c04-b8c0-8c461a0077fc.jpg?resizew=235)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/0c990f17-b0c6-495b-9629-fb1b4edde6e5.png?resizew=111)
(1)求主塔的高
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9be28e95e537abffbfc03fdfe645cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2023-08-06更新
|
151次组卷
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2卷引用:广东省河源市龙川宏图学校2022-2023学年高一下学期5月月考数学试题
4 . 如图1,在
中,
,
,
为
的中点.如图2,圆
为
的外接圆.
(1)将图1中的
绕着直线
旋转
得到一个几何体;求所得几何体的表面积;
(2)将图2中的阴影部分绕着直线
旋转
得到一个几何体,求所得几何体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d363f7aac42c7adf8d2ddf05978d3fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/3e18f3ec-a88c-428a-949e-cb08eb7f4cac.png?resizew=258)
(1)将图1中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
(2)将图2中的阴影部分绕着直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
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2卷引用:广东省河源市龙川宏图学校2022-2023学年高一下学期5月月考数学试题
名校
5 . 在边长为4的正方形
中,
,
,以
为圆心,1为半径作半圆与
交于
两点,如图所示.点
为弧
上任意一点,向量
在向量
上的投影向量是
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d934cc20f381844799378b12cd15afdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c892a3f95198db787c1bcb0e97b2982f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd692527bd8109178c3ced219ffd1db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a102a0887fac660aba1f8124e7ee363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb31772cdae334ee22a6550ced92963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-08-06更新
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580次组卷
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3卷引用:广东省河源市龙川宏图学校2022-2023学年高一下学期5月月考数学试题
6 . 水果盘逐渐成为了很多家庭中常见的一种生活用品,它环保又美观,受到了大众的喜爱,而且水果盘逐渐由简单的盛物品变成带有摆饰风格的装饰品.水果盘的造型多样,如图所示的水果盘可以近似看成一个正六棱台,厚度忽略不计,它的上端是棱长为
的正六边形开口,下端是棱长为
的正六边形的封闭底面,侧面是6个封闭的等腰梯形,水果盘的高为
,则该水果盘的容积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-08-06更新
|
132次组卷
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3卷引用:广东省河源市龙川宏图学校2022-2023学年高一下学期5月月考数学试题
广东省河源市龙川宏图学校2022-2023学年高一下学期5月月考数学试题广东省佛山市顺德区镇街学校15校2022-2023学年高一下学期第二次联考数学试题(已下线)8.3.1 棱柱、棱锥、棱台的表面积和体积-同步题型分类归纳讲与练(人教A版2019必修第二册)
解题方法
7 . 已知
,
,若在
中,
,
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b18d728b8bf87d9cd26eef3faaaefe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc1f3ea84e7872bc64b7e197333cf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b36392ec1e9dbab87d66059be35ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236b2157c317fd9e7b13dd72d4c3526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47ec83dfbbc2d580d6d2032970ba628.png)
A.![]() ![]() ![]() |
B.![]() |
C.若![]() ![]() |
D.![]() ![]() ![]() |
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解题方法
8 . 已知圆
:
,
为圆
上任意一点,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67529d28104250378277eafe95446861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
A.![]() |
B.直线![]() ![]() ![]() ![]() ![]() ![]() |
C.![]() |
D.圆![]() ![]() |
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2023-08-06更新
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3卷引用:广东省河源市河源中学等校2024届高三上学期开学联考数学试题
名校
解题方法
9 . 某城市受空气污染影响严重,现欲在该城市中心
的两侧建造
两个空气净化站(如图,
三点共线),
两站对该城市的净化度分别为
,其中
.已知对该城市总净化效果为
两站对该城市的净化效果之和,且每站净化效果与净化度成正比,与中心
到净化站之间的距离成反比.现已知
,且当
时,
站对该城市的净化效果为
,
站对该城市的净化效果为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/810c3710-2537-42ae-9efb-ac598b3d5e9e.png?resizew=218)
(1)设
,求
两站对该城市的总净化效果
;
(2)无论
两站建在何处,若要求
两站对该城市的总净化效果至少达到
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb6ef19ec54f8784b2bc9f4f5a4e82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf09074015dd7f132dc224328b84382c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436ea3ddcd13e69171135f0ff8e934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624e800a3ca966553b3217f5dcb56fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f513c72c48ed22e0c952e759ce6121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610c2926e1cd54d17d3ab0874d212d1a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/810c3710-2537-42ae-9efb-ac598b3d5e9e.png?resizew=218)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9007d3c7360a8b31b5cbc6ee2efa9a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-08-06更新
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253次组卷
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3卷引用:广东省河源中学2024届高三上学期一调数学试题
名校
解题方法
10 . 已知过点的直线与抛物线
交于
,
两点,点
,则
一定是( )
A.等腰三角形 | B.直角三角形 |
C.有一个角为![]() | D.面积为定值的三角形 |
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