解题方法
1 . 已知函数
,
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37416e467b553ba75a636533304c9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347c62b44fae618a37c145b3b5d1f1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
2 . “巍然古塔耸西城,炮弹横遭削不平”,诗句描述的就是位于江苏省无锡市江阴市西横街的兴国寺塔,兴国寺塔已成为江阴人民不屈不挠精神的象征,某数学兴趣小组成员为测量该塔的高度,在塔底
的同一水平面上的
两点处进行测量,如图.已知在A处测得塔顶
的仰角为60°,在
处测得塔顶
的仰角为45°,
米,
,则该塔的高度
( )
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cfd87c08fc5ee8723f4f263a94b576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3434c5450f52f38e9d2409f164fe2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bedc4627a1777defeb106ef597d0db.png)
A.![]() | B.![]() |
C.![]() | D.60米 |
您最近一年使用:0次
解题方法
3 . 记
的内角
的对边分别为
,且
.
(1)求
;
(2)若
,
的面积为
,求
的周长
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b11d83cc4abd3886788064b177a46c4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
4 . 已知平行四边形
中,
,
,
.若点
满足
,点
为
中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f33bd925dbc5bda5c705f6a3400c66c.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00dc923e1b4f6a795bfd70cd698dfdd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7872abd162e356132bb371fc581d818c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c3a1f1a37e69b2dc06bf0affd58f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06d84898e2aed657ca46546f870c304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f33bd925dbc5bda5c705f6a3400c66c.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,在区间
内任取两个实数
,且
,若不等式
恒成立,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78fbf3615ace2439c1e76a5f7caa63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be3ad3dd6803d92df6ff8a80cd35095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7237c49af0b78fee518fb893f24b2bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a833fb44f96bc935d80cd471a5e42f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . “哥德巴赫猜想”被誉为数学皇冠上的一颗明珠,是数学界尚未解决的三大难题之一.其内容是:“任意一个大于2的偶数都可以写成两个素数(质数)之和.”若我们将16拆成两个正整数的和,则拆成的和式中,在加数都大于2的条件下,两个加数均为素数的概率是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知空间向量
,则向量
在向量
上的投影向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d64d848003d860714d19409844c0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 某市高一年级数学期末考试,满分为100分,为做好分析评价工作,现从中随机抽取100名学生成绩,经统计,这批学生的成绩全部介于40和100之间,将数据按照
,
,
,
,
,
分成6组,制成如图所示的频率直方图.
(2)若成绩在
的为A等级,
的为B等级,其他为C等级,
①在这100名学生中用分层抽样的方法在A,B,C三个等级中抽取25人,求从B等级中抽取的人数.
②以样本估计总体,用频率代替概率,从该市所有参加考试的高一年级学生中随机抽取3人,求至少有一人为B等级的概率.(注:当总体数比较大时,不放回抽取可视为有放回抽取)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fc138be9688253cbdeae2808eb74ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486c7705dbd7b7b9ec5dd17b4891088b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea146d8ec45e63ad14683fd31064de66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77699e3d1ddc6e698a640573a7ef787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d90faf85d1548242098a6fe3accd84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1a32a9f2b04fc931c6a0da0b7485e2.png)
(2)若成绩在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1a32a9f2b04fc931c6a0da0b7485e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c391d1ca31fa5f2b6de158bb3b47791.png)
①在这100名学生中用分层抽样的方法在A,B,C三个等级中抽取25人,求从B等级中抽取的人数.
②以样本估计总体,用频率代替概率,从该市所有参加考试的高一年级学生中随机抽取3人,求至少有一人为B等级的概率.(注:当总体数比较大时,不放回抽取可视为有放回抽取)
您最近一年使用:0次
解题方法
9 . 已知
分别为随机事件
的对立事件,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0abbc99d30db8afc38487640f42d900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb5a1dd6ec85f04c5ddc227e77f904f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182dd1959dd3a3f9994a8ffa3f635c2e.png)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
10 . 如图,在四棱锥
中,底面
为正方形,
在棱
上且
侧面
,
,垂足为
.
平面
;
(2)若平面
与直线
交于点
,证明:
;
(3)侧面
为等边三角形时,求二面角
的平面角
的正切值.
![](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/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7713c13736076f1fe2c139bb4a4b6d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176385d91d5e29324fce4a932eff6a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6329d83756f7779c4982db16c12cbd.png)
(3)侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053af8641980763a7f0e77beefe0712d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8505aaf8a003faa6051bbd1edaa5ee91.png)
您最近一年使用:0次