解题方法
1 . 已知函数
.
(1)试用周期函数的定义证明函数
是周期函数,并指出该函数的一个周期;
(2)若函数
在
上取最大值、最小值时,所对应的x的值按从小到大依次记为
,试求
关于
的函数关系式;
(3)在满足(2)的条件下,记
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a19ed84596e39625983668dee15dd8.png)
(1)试用周期函数的定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae6558e11384a40f3a338b73385ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ed9652852ca4d996fd1f20808df9a.png)
(3)在满足(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c0bf9a26970107ec9ad726dc4dbd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ce595c87542ef504dae056509d008a.png)
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13-14高三上·上海普陀·阶段练习
名校
2 . 已知数列
中,
,
,
.
(1)证明:数列
是等比数列,并求数列
的通项公式;
(2)在数列
中,是否存在连续三项成等差数列?若存在,求出所有符合条件的项;若不存在,请说明理由;
(3)若
且
,
,求证:使得
,
,
成等差数列的点列
在某一直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bab423942f5e4d37c150ccfaf9f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7695d7b6905ff9d4cd9b063028cc092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d5b571dd5a2677835407458f562c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9786eb2cff29a09b5c0cc4f0052002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5566b1d828acdac47fe50216d247cfac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93301f9e8004bf6c59804e1ae601bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7384847316c72af1763a1e39191f832.png)
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2016-12-02更新
|
1130次组卷
|
3卷引用:上海市格致中学2016-2017学年高二上学期期中数学试题
名校
3 . 已知a1,a2,…,an是由n(n∈N*)个整数1,2,…,n按任意次序排列而成的数列,数列{bn}满足bn=n+1﹣ak(k=1,2,…,n).
(1)当n=3时,写出数列{an}和{bn},使得a2=3b2;
(2)证明:当n为正偶数时,不存在满足ak=bk(k=1,2,…,n)的数列{an};
(3)若c1,c2,…,cn是1,2,…,n按从大到小的顺序排列而成的数列,写出ck(k=1,2,…,n),并用含n的式子表示c1+2c2+…+ncn.
(参考:12+22+…+n2=
n(n+1)(2n+1))
(1)当n=3时,写出数列{an}和{bn},使得a2=3b2;
(2)证明:当n为正偶数时,不存在满足ak=bk(k=1,2,…,n)的数列{an};
(3)若c1,c2,…,cn是1,2,…,n按从大到小的顺序排列而成的数列,写出ck(k=1,2,…,n),并用含n的式子表示c1+2c2+…+ncn.
(参考:12+22+…+n2=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
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2022-06-14更新
|
938次组卷
|
5卷引用:2016届上海市黄浦区高三上学期期末调研测试(文)数学试题
2016届上海市黄浦区高三上学期期末调研测试(文)数学试题(已下线)专题10 推理与证明-【备战高考】2021年高三数学高考复习刷题宝典(解答题专练)广东省乐昌市第一中学2021-2022学年高二下学期6月学科测试数学试题(已下线)信息必刷卷03江苏省连云港市连云港高级中学2023-2024学年高三下学期4月阶段测试数学试题
名校
4 . 设数列
的前
项和为
.若对任意正整数
,总存在正整数
,使得
,则称是“
数列”.
(1)若数列
的前n项和
,证明:
是“
数列”;
(2)设
是等差数列,其首项
,公差
.若
是“
数列”,求
的值;
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3693c7c942afef5517a3c18997c878df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf2c8701f26bb9be8904e59cadbd244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
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2022-01-02更新
|
604次组卷
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5卷引用:上海市格致中学2016-2017学年高二上学期期中数学试题
上海市格致中学2016-2017学年高二上学期期中数学试题【全国百强校】北京东城区北京二中2016-2017学年高一下学期期中考试数学试题安徽省滁州中学2020-2021学年高三上学期10月综合能力测试文科数学试题贵州省六盘水市外国语学校2021-2022学年高二上学期期中考试数学试题(已下线)解密08 等差、等比数列(讲义)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)
名校
5 . 下图称为弦图,是我国古代三国时期赵爽为《周髀算经》作注时为证明勾股定理所绘制,我们新教材中利用该图作为“( )”的几何解释.
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600763988336640/2606765217759232/STEM/20966eb4e04a45c3b25b072be2c0b9cf.png?resizew=140)
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600763988336640/2606765217759232/STEM/20966eb4e04a45c3b25b072be2c0b9cf.png?resizew=140)
A.如果![]() ![]() ![]() |
B.如果![]() ![]() |
C.对任意实数![]() ![]() ![]() ![]() |
D.如果![]() ![]() ![]() |
您最近一年使用:0次
2020-12-04更新
|
1276次组卷
|
20卷引用:上海市向明中学2016-2017学年高一上学期期中数学试题
上海市向明中学2016-2017学年高一上学期期中数学试题上海市向明中学2018-2019学年高一上学期期中数学试题上海市大同中学2017-2018学年高三上学期10月月考数学试题上海市杨浦区2016-2017学年高一上学期期中数学试题上海市青浦一中2016-2017学年高一上学期期中数学试题人教B版(2019) 必修第一册 必杀技 第二章 2.2.4 均值不等式及其应用人教A版(2019) 必修第一册 必杀技 第二章 2.2 基本不等式上海市松江二中2018-2019学年高一上学期期中数学试题上海市吴淞中学2018-2019学年高一上学期期中数学试题上海市建平中学2017-2018学年高一上学期期中数学试题上海市杨浦区2018届高三上学期期中数学试题(已下线)上海市复旦大学附属中学2014-2015学年高一上学期期中数学试题(已下线)专题08集合单元复习--2020年初升高数学无忧衔接(沪教版)山西省朔州市怀仁县怀仁一中云东校区2020-2021学年高二上学期第二次月考数学(文)试题山东师范大学附属中学2020-2021学年高一10月月考数学试题上海市嘉定区第一中学2020-2021学年高一上学期阶段考试数学试题(已下线)专题21+期中复习-2020-2021学年新教材高一数学秋季辅导讲义(沪教2020)2.2 基本不等式-2021-2022学年高一数学教材同步精品学案(人教A版2019必修第一册)广东省阳江市2021-2022学年高二上学期期末质量调研数学试题广东省广州市北京师范大学广州实验学校2022-2023学年高一上学期期中数学试题
名校
6 . 已知函数
,且函数
奇函数而非偶函数.
(1)写出
的单调性(不必证明);
(2)当
时,
的取值范围恰为
,求
与
的值;
(3)设
是否存在实数
使得函数
有零点?若存在,求出实数
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f018ae82b2844ff232420935334a5d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ef6d93515a7ba2f0a4089fb23a7a74.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e021b59773a9c187f1effc804ae3ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0888a8522bff9d4ad2edabd5bd0c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6ade35a5f98e2ba6690e93da975c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3d641761af730cc20b05a79fad66f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,其中
为常数.
(1)根据
的不同取值,判断函数
的奇偶性,并说明理由;
(2)若
,判断函数
在
上的单调性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4212558355c6c38fb21da3a7c49ef9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
您最近一年使用:0次
名校
8 . 对于问题“设实数
满足
,证明:
,
,
中至少有一个不超过
” .
甲、乙、丙三个同学都用反证法来证明,他们的解题思路分别如下:
甲同学:假设对于满足
的任意实数
,
,
,
都大于
矛盾的
,从而证明原命题.
乙同学:假设存在满足
的实数
,
,
,
都大于
,再证明所有满足
的
均与“
,
,
都大于
”矛盾,从而证明原命题.
丙同学:假设存在满足
的实数
,
,
,
都大于
。再证明所有满足
的
均与“
,
,
都大于
”矛盾,从而证明原命题.
那么,下列正确的选项为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
甲、乙、丙三个同学都用反证法来证明,他们的解题思路分别如下:
甲同学:假设对于满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
乙同学:假设存在满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
丙同学:假设存在满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b973282319342acac67168c4f7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee23faaf3b25a36612579ccac8d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
那么,下列正确的选项为
A.只有甲同学的解题思路正确 |
B.只有乙同学的解题思路正确 |
C.只有丙同学的解题思路正确 |
D.有两位同学的解题思路都正确 |
您最近一年使用:0次
9 . 已知椭圆
:
(
),过原点的两条直线
和
分别与
交于点
、
和
、
,得到平行四边形
.
(1)若
,
,且
为正方形,求该正方形的面积
.
(2)若直线
的方程为
,
和
关于
轴对称,
上任意一点
到
和
的距离分别为
和
,证明:
.
(3)当
为菱形,且圆
内切于菱形
时,求
,
满足的关系式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5073552dadf6b05b65dabb17aef220a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9e0feef5374aab83326c43db168080.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
10 . 对于双曲线
:
(
),若点
满足
,则称
在
的外部;若点
满足
,则称
在
的内部.
(1)证明:直线
上的点都在
的外部.
(2)若点
的坐标为
,点
在
的内部或
上,求
的最小值.
(3)若
过点
,圆
(
)在
内部及
上的点构成的圆弧长等于该圆周长的一半,求
、
满足的关系式及
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf04fe8895c10624636a815d3d752975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bde902be2c28f81148f15f39f7c4c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c20c741eecab320ae5fa05830f2d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f42457c945c02fd46fb018712e73171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15339e00b7f3c99471bbc1ef5131ede.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953bfeb398bab2b2ba61b3e6bf0a22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f834f3d12ac9af3ec4535bc4c0273d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f834f3d12ac9af3ec4535bc4c0273d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d0c9e23830f8e9e3172d4a7dda4d7a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bf72a4612e5cb9004743f53084b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次