1 . 如图,四棱锥
中,底面
为菱形,
,
为等边三角形.
![](https://img.xkw.com/dksih/QBM/2018/9/21/2037085862682624/2052007158784000/STEM/f5196a5c2c4a49fb86acd5be1ea5bd19.png?resizew=166)
(1)求证:
.
(2)若
,
,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/3cf80b036459da6dcb841a4bbe3859fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7bcea5a45eeae211f5851f12a7517.png)
![](https://img.xkw.com/dksih/QBM/2018/9/21/2037085862682624/2052007158784000/STEM/f5196a5c2c4a49fb86acd5be1ea5bd19.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c964253f04564fbea76307b46a395f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290a37874cd284fb1a8c864769ce50c9.png)
您最近一年使用:0次
2018-10-12更新
|
2939次组卷
|
2卷引用:青海省西宁市第十四中学2019-2020学年高二上学期期中数学(理)试题
名校
2 . 在平面直角坐标系
中,点
,
,动点
满足
.
(1)求动点
的轨迹
的方程;
(2)若直线
与轨迹
有且仅有一个公共点
,且与直线
相交于点
,求证:以
为直径的圆过定点
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65d521a6083ca9d316e2963c665099b.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7b816eca15d4b7d060013df53edd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
您最近一年使用:0次
2018-04-22更新
|
451次组卷
|
2卷引用:青海省西宁市2018届高三下学期复习检测一(一模)数学(理)试题
解题方法
3 . 已知函数
.
(1)若
对任意的
恒成立,求实数
的值;
(2)在(1)的条件下,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c2fbf40edf6ece6d876fa4deb702ea.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799528be8ee07ac1f6b67454b1169476.png)
您最近一年使用:0次
14-15高二上·四川资阳·期末
名校
4 . 如图,
是矩形
中
边上的点,
为
边的中点,
,现将
沿
边折至
位置,且平面
平面
.
![](https://img.xkw.com/dksih/QBM/2018/7/7/1983424624263168/1984881513390080/STEM/426731b4ee0148728624dbfad2102c33.png?resizew=145)
![](https://img.xkw.com/dksih/QBM/2018/7/7/1983424624263168/1984881513390080/STEM/6605a14fb8324639a61548643e3f453a.png?resizew=175)
(1)求证:平面
平面
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58deb4ead7f2e0145567371319dfde0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3814287dbb60d478bffc5366f9928b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1742b04f56cd6b3c956b4607ebb880f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a26a7784c7419d8359fb119c8ecc03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://img.xkw.com/dksih/QBM/2018/7/7/1983424624263168/1984881513390080/STEM/426731b4ee0148728624dbfad2102c33.png?resizew=145)
![](https://img.xkw.com/dksih/QBM/2018/7/7/1983424624263168/1984881513390080/STEM/6605a14fb8324639a61548643e3f453a.png?resizew=175)
(1) (2)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a26a7784c7419d8359fb119c8ecc03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6affbe8a78c5bb1b4b9d83f3b15ea5f.png)
您最近一年使用:0次
2016-12-02更新
|
1096次组卷
|
7卷引用:青海省西宁市2017届高三下学期复习检测二(二模)数学(文)试题
5 . 设数列
的前
项和为
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbbbbd7005d91fe5d18afba668837ab.png)
.
(1)求
;
(2)数列
的通项公式;
(3)设
,求证:
.
![](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/0dbbbbd7005d91fe5d18afba668837ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b5124c1981cc2b7c4850613d6d3b5d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb72b465181887a8d5f22b1f7e4c421f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733c393eb55f776b8383277cc946e200.png)
您最近一年使用:0次
名校
6 . 已知抛物线C:x2=2py(p>0)的焦点为F,抛物线上一点A的横坐标为x1(x1>0),过点A作抛物线C的切线l1交x轴于点D,交y轴于点Q,当|FD|=2时,∠AFD=60°.
(1)求证:FD垂直平分AQ,并求出抛物线C的方程;
(2)若B位于y轴左侧的抛物线C上,过点B作抛物线C的切线l2交直线l1于点P,AB交y轴于点(0,m),若∠APB为锐角,求m的取值范围.
(1)求证:FD垂直平分AQ,并求出抛物线C的方程;
(2)若B位于y轴左侧的抛物线C上,过点B作抛物线C的切线l2交直线l1于点P,AB交y轴于点(0,m),若∠APB为锐角,求m的取值范围.
您最近一年使用:0次
2016-12-04更新
|
533次组卷
|
2卷引用:2015-2016学年重庆市巴蜀中学高二上学期期中考试理科数学试卷
7 . 已知函数
,
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,求证:
在
上为增函数;
(3)若
在区间
上有且只有一个极值点,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/d91a5be9a83948cfa622e607964d9e2b.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/892890cf091a4665a61733f322f9dc09.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/b1aa970af10c47f3badeaa3a7c9cb164.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/222ae947ccc640fdb2ab132ff29f8556.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/945d2c8987f64e7192d32ccd20c8576c.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/b6228f0395ee4c0099f7621ced8bd28e.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/10bd750131624df6b6e4201b69519f5a.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/19d920f8af534a8b83fb2a67a34d4e69.png)
(3)若
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/10bd750131624df6b6e4201b69519f5a.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/889e5b0dbe7a4942ada522b6b78117a8.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/19a6ae18860c4e908fa00614f78b5618.png)
您最近一年使用:0次
11-12高三上·福建泉州·期中
名校
8 . 已知椭圆
的离心率为
,短轴的一个端点到右焦点的距离为2,
(1)试求椭圆
的方程;
(2)若斜率为
的直线
与椭圆
交于
、
两点,点
为椭圆
上一点,记直线
的斜率为
,直线
的斜率为
,试问:
是否为定值?请证明你的结论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ec56b59d6f2654570c2b5c4fd13a05.png)
![](https://img.xkw.com/dksih/QBM/2011/12/6/1577552914767872/1577552915365888/STEM/78144a55bc3141ac911c796ec5a48cf7.png)
(1)试求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3be737795dfc65e07b215277af677a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
您最近一年使用:0次
2016-12-01更新
|
2426次组卷
|
11卷引用:2020届青海省西宁市六校(沈那、昆仑、总寨、海湖、21中、三中)高三上学期期末数学(文)试题
2020届青海省西宁市六校(沈那、昆仑、总寨、海湖、21中、三中)高三上学期期末数学(文)试题(已下线)2011—2012学年福建省泉州市一中高三上学期期中文科数学试卷(已下线)2012届福建省泉州四校高三第二次联考考试文科数学(已下线)2012届福建省晋江市四校高三第二次联合考试文科数学试卷甘肃省天水市第一中学2019-2020学年高三上学期12月月考数学(理)试题甘肃省天水市第一中学2019-2020学年高三上学期12月月考数学(文)试题甘肃省天水市一中2019-2020学年高三上学期第三阶段考试数学(理)试题甘肃省天水市一中2019-2020学年高三上学期第三阶段考试数学(文)试题西藏拉萨那曲第二高级中学2021届高三上学期第二次月考数学(文)试题西藏拉萨那曲第二高级中学2021届高三上学期第二次月考数学(理)试题甘肃省嘉谷关市第一中学2020-2021学年高三上学期一模考试数学(理)试题