1 . 已知椭圆
的焦距大于2,则其离心率的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a8e322d4dc255e3d26b5281f27a003.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知抛物线
的焦点为F,准线为
,点Р是
上一点,过点Р作PF的垂线交x轴的正半轴于点A,AF交抛物线于点B,PB与x轴垂直,则直线AF的斜率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fdedd1db38755989cd462c151f5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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3 . 如图,已知直四棱柱
的底面
为平行四边形,
,
,
,
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/0c3901ce-c20c-447b-9bfe-89f3905ce0d9.png?resizew=203)
(1)求证:
平面
;
(2)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0e44cb429eea46e7ee4320147192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/0c3901ce-c20c-447b-9bfe-89f3905ce0d9.png?resizew=203)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
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名校
解题方法
4 . 设数列
的前
项和为
,已知
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5995ed803c917b995c197681464f2570.png)
A.![]() | B.![]() |
C.数列![]() | D.数列![]() |
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2023-02-22更新
|
951次组卷
|
4卷引用:海南省2022-2023学年高二下学期学业水平诊断(一)数学试题
名校
解题方法
5 . 在数列
中,若
,
,则其通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34673cc7c61773863d74badc2e4f1af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2023-02-22更新
|
719次组卷
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2卷引用:海南省2022-2023学年高二下学期学业水平诊断(一)数学试题
6 . 若方程
表示焦点在
轴上的椭圆,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b068fdc5ae380a7b2d099003d0b9578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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7 . 已知等差数列
的公差
,且
,
,
成等比数列.
(1)求数列
的通项公式;
(2)若数列
的前
项和
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48bc69f51a5291539e14fe5e4620ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0d835488039c3d46644cbf59d8b2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-02-22更新
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2卷引用:海南省2022-2023学年高二下学期学业水平诊断(一)数学试题
8 . 设
为数列
的前
项和,已知
.
(1)证明:数列
为等比数列;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3833c2768b09e0b42d86efbd4010e44b.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ccfc43be1d95f5a308ffbdfea60fd4.png)
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9 . 已知抛物线
:
的焦点坐标为
.
(1)求
的方程;
(2)直线
:
与
交于A,B两点,若
(
为坐标原点),求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa10fc6ce3ba3a0fc3f2a7e789b9412a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca23c084cbd3130f730db690b8028091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
10 . 如图所示,在三棱锥
中,底面ABC是边长为2的正三角形,点Р在底面上的射影为棱BC的中点,且
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/152b29a1-92c0-4786-9e78-9aa18e0f107c.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/152b29a1-92c0-4786-9e78-9aa18e0f107c.png?resizew=142)
A.![]() |
B.三棱锥![]() |
C.异面直线![]() ![]() ![]() |
D.BC与平面PAB所成角的余弦值为![]() |
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2023-02-22更新
|
366次组卷
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3卷引用:海南省2022-2023学年高二下学期学业水平诊断(一)数学试题
海南省2022-2023学年高二下学期学业水平诊断(一)数学试题(已下线)2.4.3 向量与夹角(同步练习)-【素养提升—课时练】2022-2023学年高二数学湘教版选择性必修第二册检测(提高篇)河南省洛阳市第四高级中学2022-2023学年高一下学期5月月考数学试题