1 . 对非零实数
,定义一种运算“
”,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544331901edfd5d32b9737774c892fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
)=(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
)
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544331901edfd5d32b9737774c892fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0d46da745fa5e71ea97e7b30beb6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e9585a1da28d403536ea48b4c37a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://img.xkw.com/dksih/QBM/2011/3/7/1570027251990528/1570027257331712/STEM/4027eebf09454b9eaa810dc8d633a3e5.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66db91bb3be9e2b6ad567774e3699758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb75186988e74b9241ccf209150fe293.png)
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10-11高三上·浙江绍兴·阶段练习
名校
2 . 计算
,可以采用以下方法:
构造等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9b00bba9b11fba5a137412e9886f2d.png)
,两边对x求导,
得
,
在上式中令
,得
.类比上述计算方法,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a705beb8c304f43ace696f2a7aa814.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c07e61cdd45d468ae7dc896b9728ce.png)
构造等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9b00bba9b11fba5a137412e9886f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7addd583c589844f72ab47d68001d1d4.png)
得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d83287631ccdf6099a87830ae559e43.png)
在上式中令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2642d6aca84e463b2d2d5dc71e5f351c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a705beb8c304f43ace696f2a7aa814.png)
您最近一年使用:0次
2016-11-30更新
|
1972次组卷
|
11卷引用:2011届浙江省诸暨中学高三12月月考数学理卷
(已下线)2011届浙江省诸暨中学高三12月月考数学理卷2015届江西省上饶市重点中学高三六校第二次联考理科数学试卷(已下线)2011届河北省冀州中学高三一轮检测复习数学理卷河南省南阳市第一中学校2019-2020学年高二下学期第二次月考(5月)数学(理)试题陕西省宝鸡市渭滨区2021届高三下学期适应性训练(一)理科数学试题(已下线)2013-2014学年河北唐山一中高二下学期期末考试理科数学试卷2014-2015学年河南实验中学高二下学期期中理科数学试卷2015-2016学年辽宁省鞍山一中高二下期中理科数学试卷浙江省宁波市余姚中学2018-2019学年高二下学期期中数学试题人教A版(2019) 选修第三册 突围者 第六章 易错疑难集训(二)人教A版(2019) 选修第三册 实战演练 第六章 易错疑难突破专练
3 . 若对任意
有唯一确定的
与之对应,则称
为关于
的二元函数.定义:同时满足下列性质的二元函数
为关于实数
的广义“距离”:
(Ⅰ)非负性:
;
(Ⅱ)对称性:
;
(Ⅲ)三角形不等式:
对任意的实数
均成立.
给出下列二元函数:
①
;②
;③
;④.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cb6d1bff8087a07bf91ed7d07f4578.png)
则其中能够成为关于
的广义“距离”的函数编号是______.(写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a6509e245418a878f2eeb66df51013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72df651e67c045ea5d886abef4c2165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72df651e67c045ea5d886abef4c2165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72df651e67c045ea5d886abef4c2165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
(Ⅰ)非负性:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabfb65d3e9f7c4cd33d6f1886eba759.png)
(Ⅱ)对称性:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73292fc1b2cc9dd0022cd56ab8d43c14.png)
(Ⅲ)三角形不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9d50ca05482cfb50a8ae56f47cfafe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
给出下列二元函数:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684f9874fd0c21116ee7e1e59f6b43f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e7b52c8248f2534dadc7c0ea8f5c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ef674508ca9d7ce117b5201b1299a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cb6d1bff8087a07bf91ed7d07f4578.png)
则其中能够成为关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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9-10高三·福建宁德·阶段练习
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4 . 在平面内,三角形的面积为
,周长为
,则它的内切圆的半径
.在空间中,三棱锥的体积为
,表面积为
,利用类比推理的方法,可得三棱锥的内切球(球面与三棱锥的各个面均相切)的半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3ef4881bd7c5860178dbdbc7bba6e3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67827b99d44f70e134b08660e7045372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3ef4881bd7c5860178dbdbc7bba6e3.png)
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|
2038次组卷
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9卷引用:宁德三县市一中2010高三第二次联考文科数学试题
(已下线)宁德三县市一中2010高三第二次联考文科数学试题河北省衡水市武邑县2019-2020学年高三上学期12月月考数学(理)试题(已下线)福建省泉州师院附属鹏峰中学2010届高三高考模拟试卷文科数学(已下线)2011届江西省六校高三联考数学理卷2016-2017学年河北省卓越联盟高二上学期月考一数学试卷河南省2018-2019学年高二下学期7月月考数学[(文)试题2019年贵州省铜仁市铜仁第一中学三模数学(理)试题陕西省咸阳市武功县普集高中2020-2021学年高二下学期第一次月考文科数学试题(已下线)江苏省海门中学2009—2010学年度第二学期期中测试卷高二数学(文科)
12-13高二上·湖南永州·期末
名校
5 . 在平面上,我们如果用一条直线去截正方形的一个角,那么截下的一个直角三角形,按图所标边长,由勾股定理有:c2=a2+b2.设想正方形换成正方体,把截线换成如下图的截面,这时从正方体上截下三条侧棱两两垂直的三棱锥O
LMN,如果用S1,S2,S3表示三个侧面面积,S4表示截面面积,那么你类比得到的结论是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc339cf6dd66599db64fa3fa44e608.png)
![](https://img.xkw.com/dksih/QBM/2013/7/25/1571308623536128/1571308629188608/STEM/f1753733b0cf43bf8a440b724153a50d.png?resizew=261)
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2011-04-21更新
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17卷引用:2017届河北省衡水中学高三下学期三调考试数学(文)试卷
2017届河北省衡水中学高三下学期三调考试数学(文)试卷(已下线)2012-2013年福建三明一中高二下第一次月考文科数学试卷 (已下线)2013-2014学年广东省惠州市东江高级中学高二3月月考理科数学试卷(已下线)2013-2014学年福建省四地六校高二下学期第一次月考文科数学试卷2015-2016学年福建省三明一中高二下第一次月考文数学卷江西省南昌三中2016-2017学年高二下学期3月月考数学理试题河南省商丘名校2016-2017学年高二下期4月联考试题 数学(文)试题2018年高考数学文科二轮专题闯关导练 :小题训练多抢分(四)(已下线)2011-2012学年湖南省蓝山二中高二上学期期末考试理科数学试卷(已下线)2011-2012学年浙江省宁波万里国际学校高二下期中文科数学试卷(已下线)2011-2012学年北京西城(南区)高二下学期期末考试理科数学试卷(已下线)2012-2013学年云南省玉溪一中高二下学期期末考试文科数学试卷2015-2016学年江苏省大丰市新丰中学高二上学期期末文科数学试卷2015-2016学年江苏省盐城市大丰新丰中学高二上学期期末文科数学卷河南省商丘名校2016-2017学年高二下期4月联考数学(文)试题黑龙江省海林市朝鲜族中学人教版高中数学选修2-2同步练习:第二章 推理与证明单元测评内蒙古包头市第四中学2017-2018学年高二下学期期中考试数学(理)试题