解题方法
1 . 已知
的内角
的对边分别为
为锐角,且
.
(1)求角
的大小;
(2)若
的面积为
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c14ba33dc87a2a27b93e1385e7c283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa80b62c33ea69fa82cb1e7016027b0.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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2 . 已知
是抛物线C:
上一点,F是C的焦点,且
.
(1)求C的方程;
(2)记O为坐标原点,斜率为1的直线
与C交于A,B两点(异于点O),若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f802944fc08e97019f8ba692889d8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d995dbb83ebd75c471e00f82b147f0c0.png)
(1)求C的方程;
(2)记O为坐标原点,斜率为1的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
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解题方法
3 . 已知点
是抛物线
的焦点,点
在
上,且
.
(1)求
的方程;
(2)过点
作两条互相垂直的直线
交
于
两点,
交
于
两点.求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fc189cd8499892183c046897282a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c9aa5dc8e688868ad3eac88714cd51.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d90ef7eba319615e1fd6e01f6abd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0556ce16fbbb02a803ea0ab2546ef706.png)
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2024-01-22更新
|
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3卷引用:青海省西宁市大通县2023-2024学年高二上学期期末考试数学试题
4 . 已知等边
的边长为2,将其沿边
旋转到如图所示的位置,此时点
,
,
,
在同一球面上,且
,则该球的表面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661c78a41bfeafe1f0ce428f9d88e5b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/453ad5ac-42bb-42e1-9cea-5d413d1ca201.png?resizew=171)
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5 . 已知函数
的部分图象如图所示,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffd082d7fd097092d59b2ae4fde852f.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() |
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2024-01-22更新
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3卷引用:青海省西宁市大通县2023-2024学年高一上学期期末考试数学试题
名校
解题方法
6 . 已知抛物线
的焦点为F,且A,B,C三个不同的点均在
上.
(1)若直线AB的方程为
,且点F为
的重心,求p的值;
(2)设
,直线AB经过点
,直线BC的斜率为1,动点D在直线AC上,且
,求点D的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a9efe4c27ce894634c9e4c737b5fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(1)若直线AB的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ba50e25f0d2099dce13f113685d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7711afeb265550ead8321ea2a24d5.png)
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2024-01-18更新
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4卷引用:青海省西宁市大通县2024届高三上学期期末数学(理)试题
名校
解题方法
7 . 设正实数
,
满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-02更新
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8卷引用:青海省格尔木市第七中学2023-2024学年高二下学期期末考试数学试题
青海省格尔木市第七中学2023-2024学年高二下学期期末考试数学试题福建省福州市四校教学联盟2023-2024学年高一上学期1月期末学业联考数学试题江苏省天一中学2023-2024学年高一上学期期末考试数学试卷云南省曲靖市马龙区第一中学2023-2024学年高一上学期期末考试数学试题甘肃省天水市天水三中、天水九中、清水六中、新梦想高考复读学校2024届高三上学期12月联考数学试题(已下线)高一数学开学摸底考 02-人教B版2019必修第一册+第二册开学摸底考试卷安徽省芜湖市繁昌皖江中学2023-2024学年高一上学期第二次月考数学试题河南省濮阳外国语学校2023-2024学年高一上学期第一次质量检测数学试题
解题方法
8 . 曲线
在点
处切线的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17faea138e0ea57e848f7e3d33683c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f89701bba1ff7bfd495fb3c8cc77fec.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-13更新
|
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4卷引用:青海省西宁市2024届高三上学期期末联考数学(理)试题
青海省西宁市2024届高三上学期期末联考数学(理)试题辽宁省阜新市第二高级中学2022-2023学年高二下学期期末考试数学试卷(答案不全)(已下线)第09讲:一元函数的导数及其应用 (必刷7大考题+7大题型) -2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)(已下线)专题01 一元函数的导数及其应用-1
名校
解题方法
9 . 已知抛物线
的顶点在原点,对称轴为坐标轴,且过
,
,
,
四点中的两点.
(1)求抛物线
的方程;
(2)若直线
与抛物线
交于
两点,与抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea66948882a4f947df1c57cedbd53db9.png)
交于
两点,
在第一象限,
在第四象限,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da61a8fc8f424929e9bf36622f1ca74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d483dd3a65702ed0cd7df766300d03b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4065ed9c98391f4cfe89319b6e65b44f.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea66948882a4f947df1c57cedbd53db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a6e2e2fd460de8f49b81554b1ae36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7833fd11cfe6ef6e449ed25fdd0f61df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941178d4d92eb2c81ae6ffaeb651d9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff8d039dd1991c12d2de58d1dc2937a.png)
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2023-11-10更新
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4卷引用:青海省西宁市部分学校2023-2024学年高二上学期期末联考数学试题
10 . 已知函数
.
(1)求
的极小值;
(2)讨论关于
的方程
的解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3b6c56aee4bb8a8131fd960415c745.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6fb4a475a2b819d532027a88c642c8.png)
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4卷引用:青海省玉树州三校(二高、三高、五高)2021-2022学年高二上学期期末联考文科数学试题
青海省玉树州三校(二高、三高、五高)2021-2022学年高二上学期期末联考文科数学试题陕西省咸阳市永寿县中学2022-2023学年高二下学期期中理科数学试题(已下线)第四章 导数与函数的零点 专题二 定量问题 微点2 函数零点个数问题综合训练(已下线)高二数学下学期期末考点大通关真题必刷100题(2) --高二期末考点大串讲(人教B版2019选择性必修第二册)