1 . 已知F为抛物线C:y2=4x的焦点,过点F的直线l交抛物线C于A,B两点.若|AB|=8,则线段AB的中点M到直线x+1=0的距离为( )
A.2 | B.4 | C.8 | D.16 |
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2021-12-06更新
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2110次组卷
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12卷引用:北京市朝阳区2018年高三一模数学(文)试题
北京市朝阳区2018年高三一模数学(文)试题【全国百强校】北京市清华大学附属中学2019届高三下学期第一次模拟考试数学(文)试题人教A版(2019) 选择性必修第一册 第三章 圆锥曲线的方程 单元测试(已下线)专题21 第三章 复习与检测(核心素养练习)-【新教材精创】2020-2021学年高二数学新教材知识讲学(人教A版选择性必修第一册)(已下线)第05讲 抛物线及其标准方程-【帮课堂】(已下线)第44讲 抛物线(讲) — 2022年高考数学一轮复习讲练测(课标全国版)新疆喀什第六中学2021-2022学年高二12月月考数学试题重庆市铁路中学2021-2022学年高二上学期12月月考数学试题(已下线)2022年全国高考乙卷数学(文)试题变式题17-20题章节综合测试-圆锥曲线的方程(已下线)2022年全国高考乙卷数学(文)试题变式题5-8题浙江省绍兴市新昌县鼓山中学2023-2024学年高二上学期期中考试数学试题
名校
解题方法
2 . 如图,角
均以
为始边,终边与单位圆
分别交于
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c883fd1e1fbe0d03493bcda2979152e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-10-14更新
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1131次组卷
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11卷引用:北京市朝阳区2018届高三年级第二次综合练习数学(理)测试试题
北京市朝阳区2018届高三年级第二次综合练习数学(理)测试试题【校级联考】湖北省龙泉中学、随州一中、天门中学三校2019届高三四月联考理科数学试题北京五十七中2020--2021学年高二上学期数学期中考试试题北京市第十二中学2022届高三10月月考数学试题(已下线)10.3 平面向量的应用(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)四川省泸州市泸县第二中学2022届高三上学期第四学月考试数学(理)试题北京市第二十五中学2021-2022学年高一下学期期中数学试题北京市人大附中2022届高三上学期数学收官考试之期末模拟试题北京市第二中学2023届高三下学期开学测试数学试题北京市昌平区前锋学校2022-2023学年高一下学期期中考试数学试题北京高一专题03三角函数(第三部分)
3 . 若无穷数列
满足:存在
,并且只要
,就有
(t为常数,
),则称
具有性质T.
(Ⅰ)若
具有性质T,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
,
,
,
,
,求
;
(Ⅱ)若无穷数列
的前n项和为
,且
,证明存在无穷多个b的不同取值,使得数列
具有性质T;
(Ⅲ)设
是一个无穷数列,数列
中存在
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90ebf18a8aee259cf6bf7778bc3df00.png)
.求证:“
为常数列”是“对任意正整数
,
都具有性质T”的充分不必要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ca8d0d3e86377d4c0bac29ed965673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7470822f9249a37ddfa08070b0ccdd83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e282bd5d2b5b47ba7ffeff419cfbf405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302f9a8d9c619ccc8e6f063abfc49c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b38f675ce932688113f1c19af7da939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ba808c24aeae6a2f34b98ae5ec04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061fcc2cd084a6bf55aae0d57e6f9dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(Ⅱ)若无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7077e1039cd3fca42c3c1661f4baf0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ca8d0d3e86377d4c0bac29ed965673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90ebf18a8aee259cf6bf7778bc3df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bc2b05dc79b18ecb4ac3f9b5c492d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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4 . 已知抛物线
.
(Ⅰ)写出抛物线C的准线方程,并求抛物线C的焦点到准线的距离;
(Ⅱ)过点
且斜率存在的直线l与抛物线C交于不同的两点A,B,且点B关于x轴的对称点为D,直线AD与x轴交于点M.
(i)求点M的坐标;
(ⅱ)求
与
面积之和的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
(Ⅰ)写出抛物线C的准线方程,并求抛物线C的焦点到准线的距离;
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
(i)求点M的坐标;
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edafce95aade0386bc0d78f679dcf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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名校
5 . 已知函数
.
(Ⅰ)若曲线
在点
处的切线方程为
,求
的值;
(Ⅱ)当
时,讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee56592deea5aa91c943f57403c1dc2.png)
(Ⅰ)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39179c438fae4a5440c7e49892e0b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93dc3b22667eba43fdb2687b5eb73337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-11-06更新
|
965次组卷
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4卷引用:北京市朝阳区2018届高三年级第二次综合练习数学(理)测试试题
解题方法
6 . 如图,在四棱锥P-ABCD中,平面
平面ABCD.
是等腰三角形,且
.在梯形ABCD中,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/7f175d78-33c0-4fae-8095-18adc0fa0ab4.png?resizew=158)
(Ⅰ)求证:
平面PDC;
(Ⅱ)求二面角A-PB-C的余弦值;
(Ⅲ)在线段AP上是否存在点H,使得
平面ADP?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6094178afeeacdcdec10d7bde05b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40560ea08d6cd8c1d4d9661ee6faaa3b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/7f175d78-33c0-4fae-8095-18adc0fa0ab4.png?resizew=158)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307807ee10071bafbe922eb18d2517d7.png)
(Ⅱ)求二面角A-PB-C的余弦值;
(Ⅲ)在线段AP上是否存在点H,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39748bd3de9c56dfbe313e65645db6dd.png)
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2020-11-06更新
|
572次组卷
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2卷引用:北京市朝阳区2018届高三年级第二次综合练习数学(理)测试试题
7 . 已知不等式组
,在平面直角坐标系xOy中所表示的平面区域为D,D的面积为S,则下面结论:
①当
时,D为三角形; ②当
时,D为四边形;
③当
时,
; ④当
时,S为定值
.
其中正确的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cbc60120fa6a631621645cf6d3509dd.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9a5fbf690581d8517d264c254a1f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c343fddb5d98905bb22b9b08b15f3d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcb602001b786b3385f5380df65c9d3.png)
![](https://img.xkw.com/dksih/QBM/2020/11/5/2586652130639872/2587373384417280/STEM/1b1398ab1f924cd68d02cd3f7e5038fb.png?resizew=27)
其中正确的序号是
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8 . 双曲线
的离心率是__________ ;该双曲线的两条渐近线的夹角是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c168c5134c41604bfc36166fd9e8a6.png)
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9 . 若
展开式的二项式系数之和为8,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
____________ ;其展开式中含
项的系数为___________ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250190538cfaed566e1d3c2d95da541c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7e707a724d2b1a7e6c0e21aae57e5d.png)
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10 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e135b820691df2a034eede65999dae3f.png)
__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e135b820691df2a034eede65999dae3f.png)
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