1 . 图像是特殊的函数语言,恰当地运用在数学研究中常常能带来便利.如图,计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33b7d3177d03386b15752c5c85cbd5c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33b7d3177d03386b15752c5c85cbd5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/0e20d0a0-c91d-4314-8735-4d1b89a98879.png?resizew=194)
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2 . 幂函数
,当
取不同的正数时,在区间
上它们的图像是一族美丽的曲线(如图).设点
,联结
,线段
恰好被其中的两个幂函数
的图像三等分,即有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7277d4fa62666459e91b0f16f3756c65.png)
.那么,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf82c29786bf5e395bddad7a3065f8f1.png)
______ (要求精确到0.001).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4250ec1d917f79063aec24a24cad892b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0366e28d5cadce77dd926194bcf2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6709aa8666cca38617da9a97b529b15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7277d4fa62666459e91b0f16f3756c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b2fc003c3bcf43eb82ba9ae495cc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf82c29786bf5e395bddad7a3065f8f1.png)
![](https://img.xkw.com/dksih/QBM/2018/12/14/2096449475141632/2097425605992448/STEM/5bb4e3c2469b429e8aeddafba10d51f4.png?resizew=182)
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解题方法
3 . 甲、乙两个几何体的三视图分别如图①、图②所示,分别记它们的表面积为
,
,体积为
,
,则它们的表面积与体积的大小是:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7f1f4dcfb07b129fbdfcefa6533cbd.png)
___________
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571bd04dfa5a4b306223867de5455736.png)
___________
(横线上填写“<、>或=”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7f1f4dcfb07b129fbdfcefa6533cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a742fda701b36d75794aab51f59bfa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571bd04dfa5a4b306223867de5455736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7295ad709fb2c156c3b7ff87c9f0ad6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7f1f4dcfb07b129fbdfcefa6533cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a742fda701b36d75794aab51f59bfa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571bd04dfa5a4b306223867de5455736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7295ad709fb2c156c3b7ff87c9f0ad6d.png)
![](https://img.xkw.com/dksih/QBM/2021/7/23/2770382427373568/2788152081743872/STEM/8e964565-26d3-4378-96cc-3832b7d0cca4.png?resizew=494)
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4 . 如图是一个几何体的三视图,根据图中的数据(单位:
).此几何体的表面积为______
;此几何体的体积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ccdc7aaa645c8bcc8978cda5479821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b77fcbd8001b946d98b01b7d4999ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/a4721448-4304-4056-ac40-4b1c64526720.png?resizew=170)
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5 . 如图是一个几何体的三视图,根据图中的数据可得该几何体的表面积为________ .
![](https://img.xkw.com/dksih/QBM/2018/11/8/2070969185763328/2075602565169153/STEM/6a5511dbb6484d058a3e55cd9b9a5aff.png?resizew=171)
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2018-11-14更新
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560次组卷
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9卷引用:北京海淀育英中学2016-2017学年高二上学期期中考试数学试题
北京海淀育英中学2016-2017学年高二上学期期中考试数学试题广东省汕头市达濠华侨中学2017-2018学年高二上学期阶段考试(二)数学文试题广东省汕头市达濠华桥中学、东厦中学2017-2018学年高二上学期阶段联考(二)数学(文)试题广东省汕头市东厦中学2017-2018学年高二上学期第二次段考文科数学试题安徽省定远县育才学校2017-2018学年高二下学期开学调研考试数学(文)试题安徽省滁州市定远县育才学校2020-2021学年高二上学期第一次月考数学(文)试题(已下线)1.7.3 球的表面积和体积(课时作业)-2018版步步高学案导学与随堂笔记数学(北师大版必修2)(已下线)2021年高考全国乙卷数学(理)高考真题变式题11-15题(已下线)2021年高考全国乙卷数学(理)高考真题变式题16-20题
6 . 已知某个几何体的三视图(正视图或称主视图,侧视图或称左视图)如图,根据图中标出的尺寸(单位:
),可得这个几何体的体积是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9179bee09452bbd0e5080501bb0ee9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/b7999f3a-d242-4b96-aa76-9a73833f7909.png?resizew=195)
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