1 . 已知直线
,
,圆
,l过定点A,l与圆C相交于点M,N,且________.从①
;②
为等边三角形;③
;这三个条件中任选一个填入题中的横线上,并解答问题.
(1)求k的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc050b576fe56d49b7c607198f668975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dea47d61f80f887881dba20902b5a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633c8704e3d917bf5175ae1446328a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd0ca36bd0915844d9a5b25d1b376c8.png)
(1)求k的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
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解题方法
2 . 已知双曲线
:
的右焦点为
,以坐标原点
为圆心,线段
为半径作圆与双曲线
在第一、二、三、四象限依次交于A,B,C,D四点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ae2a565259e21581ab04395b332372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08bab97d8bf5afdb986163cf57fa58b.png)
A.![]() | B.![]() |
C.四边形![]() ![]() | D.双曲线![]() ![]() |
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3 . 已知函数
的最小正周期是
,把它图象向右平移
个单位后得到的图象所对应的函数为奇函数,下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149feed6716446899defaefa8f5b863e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() ![]() |
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解题方法
4 . 设函数
,且函数
在
恰好有5个零点,则正实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301c94c870a4a275c301624fe603a599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d970de4dafce456cb3e72f6ad3eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745b580e4b155ff4f931fbaa7fde55f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知
为第三象限角,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb90f0294dfff41f05b0fc64d7a06e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d00a971393e8c521986b8b143f672ec.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 在①
,②
中任选一个作为已知条件,补充在下列问题中,并作答.
问题:在
中,角A,B,C所对的边分别为a,b,c,已知______.
(1)求B;
(2)若
的外接圆半径为2,且
,求ac.
注:若选择不同的条件分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438c34870ee3e4526105283fcda237c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfb88fd450f5e11bcdd5642ed9f9ea6.png)
问题:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f76c77679d424630c035bfabb2fa98b.png)
注:若选择不同的条件分别解答,则按第一个解答计分.
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解题方法
7 . 在
中,内角
,
,
的对边分别为
,
,
,且
.
(1)求
;
(2)若
内一点P满足
,
,
,
,记
,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/b97e272b894b63f73ab01aef85f09f3b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d833378fedd8a5eb2135c54f3642e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98639eeab0a3af039dadd6835779d273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282fefbe5b3b212a31dfd75d6b38de9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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8 . 已知命题p:在
中,若
,则
;q:若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1467272da8efd060853d864f3a0650de.png)
,则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1467272da8efd060853d864f3a0650de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ff6bd3548ea3c25338cb060fde14e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 如图所示,
是双曲线
的左、右焦点,
的右支上存在一点
满足
与双曲线
左支的交点
满足
,则双曲线
的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/15/e1c526f7-0cfe-44ac-ae85-0f336ada45e8.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9188106c3acea3d37a4f4c94f2ae6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5b427dafbdbddf66eb5ebc168b10e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/15/e1c526f7-0cfe-44ac-ae85-0f336ada45e8.png?resizew=178)
A.![]() | B.2 | C.![]() | D.![]() |
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名校
解题方法
10 . 在(1)
;(2)
;(3)
这三个条件中任选一个,补充在下面的问题中,并解答问题.在
中,内角
的对边分别为
,且满足
(1)求角
;
(2)若
的外接圆周长为
,求
边上的中线长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90fec6052888b823f62f21cd59192fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecce09e0910bc0ae11e4b2915a464a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ec8377986b8919a15d4e3218660185.png)
![](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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7dfb9cd36fbf8a4189a2a550af5da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0407e1f5977d2cb46d362e8362c8816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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