1 . 在
中
,顺次连接
.
(1)如图1,若点
是
的中点,且
交
延长线于点
,求证:
为
的切线;
(2)如图2,在(1)的条件下,连接
,过点
作
于点
,若
,则
有何数量关系?
(3)如图3,当
时,
是
延长线上一点,
是线段
上一点,且
,若
的周长为9,请求出
的值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5142949086fdc50bacd01b9ab9202320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30c0a5c92f50dce1f7624709950ff5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/9/3a4f33fb-e5d7-4f8c-9ce0-d76bfc609f3e.png?resizew=484)
(1)如图1,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4cffc9b81b9773242bd6ae80eb6df94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)如图2,在(1)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a4c525f97e2c55660669fa87896368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4baf67e2c0d0b8d5ae1dbeedadfba806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ec18aa8ab6f4a4e70722e4df77c9c1.png)
(3)如图3,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f99cb8574e12ac91b0b1431b421c960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79dd1b99a422eebcf5ce1568a84aae33.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)求证:
;
(2)若函数
,满足
,则函数
的图象关于点
对称.设函数
,
(ⅰ)求
图象的对称中心
;
(ⅱ)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103c3764db94abea9c034cc62216eaae.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1bedaf3854b48806b82b3b804451cf8.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2592a9eadca4a026a958a419a2cb0ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f206821895b21622e3db36e46c6a998.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18369d9533bc3c38748aa92a3a04e151.png)
您最近一年使用:0次
3 . 在
中,
.若点
为
上一点,连接
,将
绕点
顺时针旋转
得到
,连接
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/ddd016bb-30f5-4a4c-be98-90f2876cc0ea.png?resizew=466)
(1)如图1,若
,求
的长;
(2)如图2,点
为
的中点,连接
交
于点
.若
,猜想线段
与线段
的数量关系,并写出证明过程;
(3)如图3,若
为
的中点,将
绕点
旋转得
,连接
,当
最小时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a985e92fcdb62b20295d482f8f83ba00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/ddd016bb-30f5-4a4c-be98-90f2876cc0ea.png?resizew=466)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30d2d235cce102432379e94c73e8ec84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)如图2,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e40cb941cea512980ead6906660d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39addc1173a458af87ed5c5e3f06466.png)
(3)如图3,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7468a5b7fffe9d46e925874a866f6629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2d9d61d0c1d321e90fa694992fe21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e2c20dbbd6c42726e849130f41aea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da800de3d9b6da9ea1cbcc31d7c17855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d158d9fe48de75641a66018a6640f3a.png)
您最近一年使用:0次
名校
解题方法
4 . 已知数列
是等差数列,数列
满足
.
(1)求证:数列
是等差数列;
(2)设数列
、
的公差均为
,且存在正整数
,使得
,求
的最大值;
(3)在(2)的条件下,当
取得最大值时,设
,记数列
的前
项和为
,问:是否存在自然数
,使得
成立?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca3c52ce55a45e33576a1f066d13e21.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932cf0896df0a5b07d108f21f69be099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b90708f70dc76a877bb52fe17e3208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f183b4291a4d22fe4f704e2a90f31dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b341d1d30b8f27fd936a8c8069afde4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8089bfe21f5dc209ebf6b7f26ce97ab5.png)
您最近一年使用:0次
名校
5 . 如图,以
为直径的
交
的边
于点
,且
,
为弧
上的一点:
(1)求证:
为
的切线;
(2)连接
,且
,过点
的弦
分别交弦
,直径
于点
,
,若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2f5572e6f7ab4bee1a669244f13ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/12/7dc45e58-4ecd-45d0-89a0-5f475c7b3b41.png?resizew=175)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11c1db76cc7e1894f74a50d71736455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/cb6e05d2d5aa09b4d151e704ff87393c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2908a3e03f724d93ada9dce67ae4cf61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
您最近一年使用:0次
名校
解题方法
6 . 如图,正方形
的边长为
,点W,E,F,M分别在边
,
,
,
上,
,
,
与
交于点
,
,记
.
的面积为
的函数
,周长为
的函数
,
(i)证明:
;
(ii)求
的最大值;
(2)求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399e7902cf319a4ecc40aebda074eda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e6a56e600facb7fbc764ca30df94cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1767d0189b880f3e88dfd7734315fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd46fa96457001cfff7fc5dd49898f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc761c3cacbd33884eb2fcd32db72643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b723326b1d59ee18d42001987aaee091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a33c392fc16e95f3e0941a2f5947bc9.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a099343653ac9e68e3ef0c50d38f4191.png)
您最近一年使用:0次
2024-02-06更新
|
390次组卷
|
7卷引用:四川省南充高级中学2023-2024学年高一下学期第一次月考(3月)数学试题
四川省南充高级中学2023-2024学年高一下学期第一次月考(3月)数学试题山东省青岛市2023-2024学年高一上学期(期末)选科测试数学试卷(已下线)1.8 三角函数的简单应用-同步精品课堂(北师大版2019必修第二册)(已下线)第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)广东省佛山市顺德区容山中学2023-2024学年高一下学期3月月考数学试题内蒙古赤峰二中2023-2024学年高一下学期第一次月考数学试题(已下线)专题7 圆的包含问题
名校
解题方法
7 . 在四面体
中,
,记四面体
的内切球半径为
.分别过点
向其对面作垂线,垂足分别为
.
(1)是否存在四个面都是直角三角形的四面体
?(不用说明理由)
(2)若垂足
恰为正三角形
的中心,证明:
;
(3)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92b09f88aee4ed088bf9b86fd5bc53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2dbca1604730621745c4bb6d4ccb051.png)
(1)是否存在四个面都是直角三角形的四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若垂足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c221ff3fe097b42c9ceeb0264f68e73f.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b370607990efe29a620c617f90dd6ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c775033404a8047fc0bd60356ca7e.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
的定义域为
,
,
,且
在区间
上单调递减.
(1)求证:
;
(2)求
的值;
(3)当
时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41c7798e8266916b8501e3837194407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707f481ce3097ef1da3af9964bd36bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da1ddf59efd582614505be50e813af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6bfefa5b41faae17987876d570685d.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5980a054af3e565d5d0511b14695aaf1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e861f148f57d5bcdd82cd1fec3d594.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a3d8f7ee39ac3245c840a40f8af63d.png)
您最近一年使用:0次
2024-01-24更新
|
364次组卷
|
2卷引用:四川省泸州市泸县第四中学2023-2024学年高一下学期开学考试数学试题
名校
9 . 已知关于
,
的方程组
其中
.
(1)当
时,求该方程组的解;
(2)证明:无论
为何值,该方程组总有两组不同的解;
(3)记该方程组的两组不同的解分别为
和
,判断
是否为定值.若为定值,请求出该值;若不是定值,请说明理由.
![](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/c1685feba617e3d56860fe0a3a59804f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(2)证明:无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)记该方程组的两组不同的解分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3396ead2a01ebd1d6134732541008a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a03b0e1c4de970668548ebb944fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0af05cf4260c845bfb0675073bd81b6.png)
您最近一年使用:0次
2023-11-14更新
|
148次组卷
|
2卷引用:四川省雅安市名山中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
10 . 已知
.
(1)若
,且
,求
的最小值;
(2)求证:函数
在
上单调的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8d2133a1f584e8c8dbb02137f2eeb3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5974d33b8ae80e89bf167f919200c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7c26095538dfcfd897155c157e7483.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7887607fc09c5b0965c2e22e035fe.png)
您最近一年使用:0次