名校
解题方法
1 . 正四棱锥
的底面积为3,外接球的表面积为
,则正四棱锥
的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80f16c3278cd252725625dcf253cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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名校
解题方法
2 . 圆锥的母线
,高
,点
是
的中点,
(1)求圆锥的体积;
(2)有一球在该圆锥内部且与它的侧面和底面都相切,求这个球的体积;
(3)一质点自点
出发,沿侧面绕行一周到达点
,求其最短路程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f0f713cd40634ee6c5e075a17064eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(1)求圆锥的体积;
(2)有一球在该圆锥内部且与它的侧面和底面都相切,求这个球的体积;
(3)一质点自点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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解题方法
3 . 在平面四边形
中,
,
,
,若
为边BC上一动点,当
取最小值时,
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2a696b84492a736c5b444e61b7ad96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7aaa871ceb78e5b80b531a7cf4f1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe020f2d372f3bf21c9ef5c71895132c.png)
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4 . 已知
三个内角
,
,
的对边分别为
,
,
,则下列说法正确的有( )
①若
是锐角三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②若
,则
是等腰三角形
③若
,则
是等腰三角形
④若
是等边三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a641da1c70d0ad481082af87e98ccbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647598d9c27e8bff03fe47d84998fc73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a641da1c70d0ad481082af87e98ccbf.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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名校
5 . 已知两点
,
,若
,则点
的坐标是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4193c0af60bce74c8f575dc8dc3ea0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73fd212960b334f424f5a4db082a5e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18475d1f91e111ed7272458c6cb3e50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,在多面体
中,已知四边形
是边长为3的正方形,
,
,
上任意一点到平面
的距离均为
,则该多面体的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d3f7d55fcbaebc4e2450ac63a3dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37b5ce697dab3189a15881d00fcd0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
A.![]() | B.![]() | C.12 | D.![]() |
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7 . 在△
中,角A,B,C所对的边分别为a,b,c,若
,△
的面积为
.
(1)求
;
(2)若
,求
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faef87744ed2a4d51009b0d52c360cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03005d17bf564371ad29fea41f5c650.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2526197224eea5878e62d46952cd669.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b919f0869717376807ca5481f17412.png)
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解题方法
8 . 定义在
上的奇函数
满足
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62786326087b00d188862aa70b0a8ef8.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b568b2cee9ef2a32d2f27305a9104d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab87accf1942ab80def96d12ef173163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2e2462668b89dd526729fe032e0600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62786326087b00d188862aa70b0a8ef8.png)
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9 . 函数
的图象在
处切线的斜率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cee587d759930f5c473d6dd609676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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2024-03-29更新
|
819次组卷
|
2卷引用:天津市第一中学滨海学校2024届高三第六次学业水平质量调查数学试卷(开学考)
10 . 已知数列
是等比数列,
,
,
,
成等差数列.
(1)求
的通项公式和
;
(2)数列
满足
;当
时,
;当
时,
.记数列
的前
项和为
.
①若
,求
的值;
②若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d473bfcc52ebc119430335531488a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8822db269777fddd605b50521576b57.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5adec817865eefb615fb692c4b7f473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f536ba19aa3c3b1be97b33dfd852f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f205eb08ae9ffe22dc6fbfe2b1fe65fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b434cd915f3e6fbc3028f86f358332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3054785bacfe0537831c337f57ab92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b54a7884388655cea734328f3e43f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59268f6dd353af2dedd8269a2bc5b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f924858fdfc9403142fcbce46de32.png)
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