1 . 利用温室大棚等设施进行蔬菜种植,可以使得人们在一年四季吃上夏季的新鲜蔬菜,造福民生.某地大棚种植户现要采购一批圆筒状地膜,发现该种圆筒状地膜由纸质圆柱形空筒和缠绕在纸筒外面的地膜构成,经测量得到圆柱形空筒底面圆的半径为3cm(纸质圆筒的厚度忽略不计),每层地膜的厚度为0.1mm,约定在计算每层地膜的长度时,以外层半径来进行,则一筒100层的地膜的总长度大约为( )(
,结果精确到1m)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51daf26574eb163dfc6f39dd37a211b3.png)
A.18m | B.19m | C.20m | D.21m |
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2024-03-04更新
|
80次组卷
|
2卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
解题方法
2 . 圆心为
且过原点的圆的一般方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知直线
,则该直线的倾斜角为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4db25bb0641509eaf1cee5b33a34b92.png)
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解题方法
4 . 直线
与直线
平行,则它们之间的距离是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35e851cb9d8382bd3803651f3f367c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f288254669c6858cfc189d7c83fcda8.png)
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解题方法
5 . 已知等差数列
中,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0a8e313d86fb85b3666b2b6b554efa.png)
(1)求
的通项公式
(2)求数列
的前n项和
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0a8e313d86fb85b3666b2b6b554efa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
6 . (1)已知双曲线的一条渐近线方程是
,焦距为
,求双曲线的标准方程.
(2)求以双曲线C:
的焦点为顶点,顶点为焦点的椭圆标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4541bd6a12515d83b3a2ba8378fed1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38acfaa0f912c2598cc341ec98da8a08.png)
(2)求以双曲线C:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
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解题方法
7 . 设等差数列
的前n项和为
﹐若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6d3d768cd00a21b3aca22aa64ac3c4.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3903653955c424d3f6135edc5b47e231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2111370b3a3b575b7cac52bec12395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6d3d768cd00a21b3aca22aa64ac3c4.png)
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8 . 已知方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721d16a081df3064451470a841644f51.png)
(1)若
R,试确定方程所表示的曲线.
(2)若方程表示的圆与直线
相切,求m的值
(3)若方程所表示的圆与圆
相外切,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721d16a081df3064451470a841644f51.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae55952e90bddabd1205eeb66437c7a.png)
(2)若方程表示的圆与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0947dc8f5ba116aaf3239d66adc7474.png)
(3)若方程所表示的圆与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
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9 . 在三棱锥
中,
为
的中点,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/1e99e52d-3af5-4dcd-a98d-0481254bc045.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d859221abb763742e332779e9eab59.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/1e99e52d-3af5-4dcd-a98d-0481254bc045.png?resizew=155)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-12更新
|
231次组卷
|
5卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
10 . 如图,在四棱锥
中,底面
是矩形,
是
的中点,
平面
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/ee2b26db-04bb-4488-bf81-f8e26d6b8d2a.png?resizew=138)
(1)求证:
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4720bd0e6a1d47a84e19b60d4ea36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/ee2b26db-04bb-4488-bf81-f8e26d6b8d2a.png?resizew=138)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44f4120c94cb7176dc31fcac387b32e.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e81c256be76e1d0a71a09a75fe91d8.png)
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