名校
解题方法
1 . 设双曲线
:
的左、右焦点分别为
,
,过坐标原点
的直线与双曲线C交于A,B两点,
,
,则C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de37e08ced0d780b98ba98a8cbef58b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c005a23110ab81bdf5f8ad7cecae2bc8.png)
A.![]() | B.![]() | C.![]() | D.2 |
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名校
解题方法
2 . 在
中,角
,
,
所对的边分别为
,
,
,已知
,
,
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f317b022b06f638d7a5d08c8cdf43a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5204b80258bb8536bd73d0221e2e3243.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcfa3e340b3976832d450dd4ae7e7a7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afaae441de0ffcd471bd58b16cd3fbd0.png)
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3 . 已知圆柱的高为1,它的两个底面的圆周在直径为2的同一个球的球面上,则该圆柱的表面积为___________ .
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解题方法
4 . 若
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e4ddae66e22d3bb65909daa857de31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72368c0af85d94f298f2b8ca544053aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1dc594a32826b4e288e570559c016.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 设全集
,集合
,
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12640107db74f9009c08c3d0e995c82c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86d6ee9d13d86f007835757c5931a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4c2b4493bcee09529fde30d0109c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d15885fc8b216207aa057456f15f97.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 设
是三个不同平面,且
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad6e7a4c010074d364c686124cbf664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a63f6aa604e3d7fc7ae8c7b587069a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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解题方法
7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63effaa45c1f17793b9830f013c8e59.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0034cff22d30532185197fcd8b923c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63effaa45c1f17793b9830f013c8e59.png)
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解题方法
8 . 为了研究网民的上网习惯,某机构随机抽取了年龄在10岁到60岁的网民进行问卷调查,按年龄分为5组,即
,
,
,
,
,并绘制出频率分布直方图,如图所示.若按分层抽样的方法,从上述网民中抽取n人做采访,其中年龄在
中被抽取的人数为7,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4990ce494ad28297532c6e3818f7a4f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4b0d8b0cae9a57ba7aa958b2ef572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242cfe1efa903a3006579961bea3ddac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1720e1256b8eb4fa308d77814edaf197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab53811235a6aee1c8a7908983b7ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242cfe1efa903a3006579961bea3ddac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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9 . 若
,
是两条不同的直线,
是一个平面,
,则“
”是“
”的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dedfa42c16dd0aefa2928a6e41f3dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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解题方法
10 . 已知当
时,不等式
恒成立,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b6ce9accae1555dce9a443fda05acc.png)
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