已知向量
,
,设函数
.
(1)求函数
的最大值,并求取得最大值时x的值;
(2)在
为锐角的
中,A,B,C的对边分别为a、b、c,若
且
的面积为3,
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6b6333d2cd6f966e2f6451bc93d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01860e84d836162b8e7af286156cdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3536aeb7eb5d6cb2eecd840495ea1a8d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27aa608f0cb6e182726e33ddc64e2a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54812fb63564467ba16d5e1b3f5c7264.png)
更新时间:2020-01-31 23:01:29
|
相似题推荐
【推荐1】在
中,角
的对边分别为
,在以下条件中选择一个条件:①
;②
;③
.求解以下问题.(选择多个条件的,以所选的第一个计分)
(1)求角
;
(2)若
,且
,求
的内切圆半径.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef366ca8bd17bf66b1b1efc183b5be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e442cbb352f276b67c29a7359224c7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a393b5433b7bba69dea4a648692af7e4.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1fb74c42602219b25e63bcaeb6d086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5a58aded55ecd83f8a57a8c98706d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知
,
,且函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5074fd7ae020d4baf7dc8c06dd35ec.png)
(1)设方程
在
内有两个零点
,求
的值;
(2)若把函数
的图象向左平移
个单位,再向上平移
个单位,得函数
图象,求函数
在
上的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a893a5b96d867d524c98ac48415f195f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f62d1bd948fdb4b1720cb09800a8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5074fd7ae020d4baf7dc8c06dd35ec.png)
(1)设方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db3e49df811c97550d42912410771d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8d549130c5be01b3cb0c48a8cf260e.png)
(2)若把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d4e402f43b62a3045d9f0da2e03441.png)
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【推荐3】在
中,内角A,B,C所对的边分别为a,b,c.已知
.
(1)求角A的大小;
(2)若
,且
,求AP的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4236870dc601f18424430449ecebbac4.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25fc149bd3ced297491e0249ec03a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b409809543bae9f5e231a83e515dbbf.png)
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【推荐1】如图,
是
边
上一点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/3e859954-9a19-493f-a2b5-5bdfc796ed99.png?resizew=199)
(Ⅰ)求
的长;
(Ⅱ)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a0c4afc5a640ab1e3817b9ff66ef8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90deeb936c511ba9ce67bd1ad0de9358.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/3e859954-9a19-493f-a2b5-5bdfc796ed99.png?resizew=199)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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解题方法
【推荐2】
的内角
的对边分别为
,已知
.
(1)求角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)如图,若
,
为
外一点,
,
,若四边形
的面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e2557d6c0eeb8e56c84db1c4931c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911971802ee985ed34ce6aefc785c449.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)如图,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cc9c1600db3a5653e5903db8286e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289d7a880379d6060065c829b45b0ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d799af15cc3beab3e0f99875796cd0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6d82467cc7f4a78086efc449591815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/451c482c-5270-4b07-a330-6e12e03c996e.png?resizew=188)
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【推荐1】锐角
中,a,b,c分别为角A,B,C的对边,已知
.
(1)求角C的大小;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7712d53a0afd428717c58baf19a1204c.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8309a6e5b896fe276432f48fd7da2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】为了美化环境,某公园欲将一块空地规划建成休闲草坪,休闲草坪的形状为如图所示的四边形ABCD,并修建两条小路AC,BD(路的宽度忽略不计),其中
千米,
千米,
是以D为直角顶点的等腰直角三角形.设
,
.
时,求:①小路AC的长度;②草坪ABCD的面积;
(2)当草坪ABCD的面积最大时,求此时小路BD的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06201e4f55b78d8b30afb257d5a1b16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb689a793465929f004e561242fa993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182aaacf340c89c90eff4a7dd47989cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8d7e663f87856b883f61741538e9c2.png)
(2)当草坪ABCD的面积最大时,求此时小路BD的长度.
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【推荐1】已知点
.
(1)求
;
(2)若点M满足
,求M的坐标;
(3)若点N满足
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e78adec1f9a4e6882670bcf724e1b5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ace585d3cc2e113a0927cdf9e56756a.png)
(2)若点M满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca8c0f28d04b5e1decfaa4f6db5533b.png)
(3)若点N满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd6af26686d06f71f009920ecd42dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a57595e73fca65e7a78f93d05edc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d491ca1d69c14de489ec68aa280c97.png)
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【推荐2】已知椭圆
:
.
(1)若抛物线
的焦点与
的焦点重合,求
的标准方程;
(2)若
的上顶点
、右焦点
及
轴上一点
构成直角三角形,求点
的坐标;
(3)若
为
的中心,
为
上一点(非
的顶点),过
的左顶点
,作
,
交
轴于点
,交
于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b31ef7d04da62b28c25637de25f041.png)
(1)若抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7651258d5d39a40d1fd7d737ea3c722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bdee7807edba89958c84bf4bb85f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccfeee2a10f5d21dd56e9957b5756e9.png)
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【推荐3】已知向量
,向量
与向量
的夹角为
,且
.
(1)求向量
;
(2)若向量
,且
,向量
,其中
为
的内角且有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c70ad55cafb1573cd252fdf6a6441c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f1a8e551cba7ec9f451749f60e628d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560ee2894ba8c5cee6633430cc8b3b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21efe7f6e984a4892dbe82fc9c03a1e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2504012db29dcdeac4511adda0e8450.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f1a8e551cba7ec9f451749f60e628d.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9568ea274b3e1ea8f9d302eea0753a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7096bbbcd6ffaebc82cca6d18095d09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fbd9769d70f20749c19020c82276ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4a570e7b3e4dfff30ef2ad943bf56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c5904aed85a77ad28c223711154d41.png)
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