名校
解题方法
1 . 故宫角楼的屋顶是我国十字脊顶的典型代表,如图1,它是由两个完全相同的直三棱柱垂直交叉构成,将其抽象成几何体如图2所示.已知三楼柱
和
是两个完全相同的直三棱柱,侧棱
与
互相垂直平分,
交于点I,
,
,则点
到平面
的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5399fca789fea184a162bfb6d95afd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f523fc81603a5c4cdff956a5c3298b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8856a6bbd1648fef7aaa384366e9016f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df32f10590eccf0d07989db09ad7d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-10更新
|
469次组卷
|
3卷引用:【北京专用】高二下学期期末模拟测试A卷
2 . 设集合
,点P的坐标为
,满足“对任意
,都有
”的点P构成的图形为
,满足“存在
,使得
”的点P构成的图形为
.对于下述两个结论:①
为正方形以及该正方形内部区域;②
的面积大于32.以下说法正确的为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03cd04b82dda9c0d2dd0957ffc407d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9712a0071f6d0d78d17ce18f6084cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3693b84b83679c30b1035750d9b4f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deebd2c36a5e644a566f1980091359bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9712a0071f6d0d78d17ce18f6084cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3693b84b83679c30b1035750d9b4f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e32039addb008103a2a8344225214a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deebd2c36a5e644a566f1980091359bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e32039addb008103a2a8344225214a.png)
A.①、②都正确 | B.①正确,②不正确 |
C.①不正确,②正确 | D.①、②都不正确 |
您最近一年使用:0次
名校
解题方法
3 .
训练师是一种新型的工作,通过向
提问,能让
软件更加准确地回答问题.
训练师需要和数据标注员紧密协作,把控好整个流程的输入规则和输出结果,最终输出标注准确的数据.通过
训练师每次提问后,
软件回答问题的正确率可能发生变化.某
软件初始回答问题的正确率记为
,设第
次训练后,可将该软件回答问题的正确率从
改变为
,其中
,
,
,
,
,
,…,给出下列四个结论:
①当
,若
,
,
时,该
软件无法通过训练提高正确率;
②若
,
时,该
软件经过第一次训练提高了正确率;
③当
,若
,
,
时,该
软件经过5次训练后,正确率高于
;
④当
,若
,
时,该
软件无论怎么训练,正确率都不高于
.
其中,所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb173fd5c82cc50906329c799d7eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffb021aa7d5a5c2f0691e337caad624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7acd08139237eb09e2c2c2914991f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b9cbe59a1d2b42bd627cf39a5ca9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413b91450bf15efbabb694973e4e85b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f42216b7281715819c8ea898fc5c33c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad90c79c1c7cc5c3efccf9c2293e38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff682eb44cc652d0c8c4d851710d059d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bc518996d98e09db01b185ea09b23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6562c8dee00930531f41bcd361732a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cc5311f69dd6e77afa9a165410eab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c73150b3316628735fe2f4a24cb411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad90c79c1c7cc5c3efccf9c2293e38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1640495c958581869d67940447c16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf12d9cc58f6cf5bc17ce1f3e596a665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909fc6ee5998dc6da434bed770af6020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe157a9c3fe004a25bf1fb79c8c0a1b.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9bc7b40c522fe1724c773ae62d349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad90c79c1c7cc5c3efccf9c2293e38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66f978f670447e5c55283c89ce4f35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68806799395fdfd6408756b39636d92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbfe2ded9fc1188ac6cc2598e765317.png)
其中,所有正确结论的序号是
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解题方法
4 . 李华学了“斐波那契数列”后对它十分感兴趣,于是模仿构造了一个数列
:
,
,
,
. 给出下列结论:
①
;
②
;
③设
,则
;
④设
,则
有最大值,但没有最小值.
其中所有正确结论的个数是( )
![](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/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6652fbcfc7ee00e8a8d9833bb36ec9cb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204476aac1a5c62589156d83ff19fe16.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54f95a77bb5584609c2cfdfb540778d.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9158db048850992ae4cace688253bf4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4310b277969ab26af5c2ee0e921f82.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf2eb5abf90bf38e6943fc54aa61253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
其中所有正确结论的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
5 . 某校组织社会实践活动,将参加活动的3名老师与6名同学分成三组,每组1名老师与2名同学,不一样的分法共有( )
A.45种 | B.90种 | C.180种 | D.270种 |
您最近一年使用:0次
2024-05-08更新
|
809次组卷
|
4卷引用:北京市中国人民大学附属中学2023-2024学年高二下学期统练3数学试题
北京市中国人民大学附属中学2023-2024学年高二下学期统练3数学试题(已下线)专题01 排列组合及其应用常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第二册)(已下线)高二数学下学期期末模拟--高二期末考点大串讲(苏教版2019选择性必修第二册)广西桂林市、来宾市2024届高三下学期第三次联合模拟考试(三模)数学试卷
名校
解题方法
6 . 数列
中,从第二项起,每一项与其前一项的差组成的数列
称为
的一阶差数列,记为
,依此类推,
的一阶差数列称为
的二阶差数列,记为
,….如果一个数列
的p阶差数列
是等比数列,则称数列
为p阶等比数列
.
(1)已知数列
满足
,
.
(ⅰ)求
,
,
;
(ⅱ)证明:
是一阶等比数列;
(2)已知数列
为二阶等比数列,其前5项分别为
,求
及满足
为整数的所有n值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c599a8303d934678c8cae0ed864b776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c599a8303d934678c8cae0ed864b776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5452a758da0f722da03128a5eb3ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f88267cbc5e8e016b1a92bcf0fb27d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281cde49dcc279bdc6b2a99edafe19da.png)
(1)已知数列
![](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/3998df04d0a8ded946c3f39d545fdc7e.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f94c7bb2d2afc4196b15f6879ddf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e9e4a01bdaa1f768225e055b6c6d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13df1f8f074ab49fc065ed0da2d5aff.png)
(ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0965cc6a58c25d9ba7876da319a8cae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
您最近一年使用:0次
2024-05-07更新
|
969次组卷
|
4卷引用:北京市中国人民大学附属中学2023-2024学年高二下学期统练3数学试题
北京市中国人民大学附属中学2023-2024学年高二下学期统练3数学试题(已下线)专题04 高二下期末考前必刷卷02(提高卷)--高二期末考点大串讲(人教A版2019)2024届山东省潍坊市二模数学试题吉林市第一中学2024届高三高考适应性训练(二)数学试题
名校
解题方法
7 . 设盒中有大小相同的“中华”牌和“红星”牌玻璃球,“中华”牌的10个,其中3个红色,7个蓝色;“红星”牌的6个,其中2个红色,4个蓝色.现从盒中任取一个球,已知取到的是蓝色球的前提下,则它是“红星”牌的概率是______ .
您最近一年使用:0次
2024-05-04更新
|
475次组卷
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3卷引用:北京市育才学校2023-2024学年高二下学期4月期中考试数学试题
名校
8 . 已知集合
(
,
),若存在数阵
满足:
①
;
②
.
则称集合
为“好集合”,并称数阵
为
的一个“好数阵”.
(1)已知数阵
是
的一个“好数阵”,试写出
,
,
,
的值;
(2)若集合
为“好集合”,证明:集合
的“好数阵”必有偶数个;
(3)判断
是否为“好集合”.若是,求出满足条件
的所有“好数阵”;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7c07bd06408ada63e19cd38444a8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5790497e607490f8d6c184f11ad260.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f799bc4317846951767f4aa196bfc105.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54946204c502727ffaee3c0172d195a3.png)
则称集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
(1)已知数阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93838d1ac2b07386b69165fe00d9e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fa71450b470cb7d6464339873d74b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1acb90636d27c85b45c0204035594f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c95469d8d40311c876b3724f032d7e.png)
您最近一年使用:0次
2024-03-27更新
|
1054次组卷
|
4卷引用:北京市第八十中学2023-2024学年高二下学期期中考试数学试题
北京市第八十中学2023-2024学年高二下学期期中考试数学试题北京市丰台区2023-2024学年高三下学期综合练习(一)数学试题北京市日坛中学2023-2024学年高一下学期期中考试数学试题(已下线)压轴题01集合新定义、函数与导数13题型汇总 -1
9 . 在平面直角坐标系中,定义
为点
到点
的“折线距离”.点O是坐标原点,点P在圆
上,点Q在直线
上.在这个定义下,给出下列结论:
①若点P的横坐标为
,则
; ②
的最大值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③
的最小值是2; ④
的最小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.png)
其中,所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093c6d5bcaa69cea79b24688f5d1bd97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a39648cb8036d9773c2fcc145e6270.png)
①若点P的横坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f8657de54481172ca9179c88c0c4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ae1bf271f86fd36f7e07dfdc03a0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e32a237e5e2d4dc064d337ab21fef41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5120d563479e6e13dabfff4e09225d51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9e3b3302ef30f5853224dc491ded16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.png)
其中,所有正确结论的序号是
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解题方法
10 . 已知椭圆
的上顶点为
,圆
.对于圆
,给出两个性质:
①在圆
上存在点
,使得直线
与椭圆
相交于另一点
,满足
;
②对于圆
上任意点
,圆
在点
处的切线与椭圆
交于
,
两点,都有
.
(1)当
时,判断圆
是否满足性质①和性质②;(直接写出结论)
(2)已知当
时,圆
满足性质①,求点
和点
的坐标;
(3)是否存在
,使得圆
同时满足性质①和性质②,若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5df95a756627611d0562f76e055d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fed9d00388be6a5f77a0d992397509d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
①在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.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/7f66560b7385c4a9d183ebe6b1b6112f.png)
②对于圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0b06dc01c30d13f64be2ac6a1d811e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e5b502a4ab157d36379c98ca8928ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b829d3ded5f93007d3ba22f2a862efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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