名校
解题方法
1 . 在
中,内角A,B,C所对的边分别为a,b,c,
.
(1)证明:
;
(2)若B为钝角,
的面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6de94b45639e4487786db023a223b1f.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fd1e7b23db81e1cd71ac666322672f.png)
(2)若B为钝角,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701e102cbfff42420db9f22e506fb9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
您最近一年使用:0次
2 . 在直三棱柱
中,
,
,D为侧面
的中心,E为BC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1b1c3167-7b00-4ce6-a447-6ed889e72989.png?resizew=100)
(1)求证:平面
侧面
;
(2)求点
到面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3650dbf500c1223ce389b7b5e07c096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1b1c3167-7b00-4ce6-a447-6ed889e72989.png?resizew=100)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2147971abecf15404665d75f577ebfff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0278f9809e118b80c9946d9b9ae40c83.png)
您最近一年使用:0次
2020-02-15更新
|
324次组卷
|
2卷引用:2019届重庆市江津中学、合川中学等七校高三第三次诊断性考试(文科)数学试题
3 . 如图,在四棱锥P-ABCD中,在底面ABCD中,AD//BC,AD⊥CD,Q是AD的中点,M是棱PC的中点,PA=PD=2,BC=
AD=1,CD=
,PB=
.
(Ⅰ)求证:平面PAD⊥底面ABCD;
(Ⅱ)试求三棱锥B-PQM的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
(Ⅰ)求证:平面PAD⊥底面ABCD;
(Ⅱ)试求三棱锥B-PQM的体积.
![](https://img.xkw.com/dksih/QBM/2018/5/24/1952120564293632/2007614751752192/STEM/d1b426b1a8dd4565bcf28f9c60dcb64d.png?resizew=183)
您最近一年使用:0次
2018-08-10更新
|
859次组卷
|
3卷引用:【全国区级联考】重庆市江津区2018届高三下学期5月预测模拟文科数学试题
【全国区级联考】重庆市江津区2018届高三下学期5月预测模拟文科数学试题安徽省六安市第一中学2020-2021学年高二上学期第一次段考数学(理)试题(已下线)黄金卷16-【赢在高考·黄金20卷】备战2021年高考数学(文)全真模拟卷(新课标Ⅱ卷)
解题方法
4 . 已知
.
(1)若对任意的
及任意的
,不等式
恒成立,求
的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a93645a9c1f5a2961519d74bf51567.png)
(1)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436ea3ddcd13e69171135f0ff8e934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92179e9a2f8520140d607a689af41d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227120dd656502adb6f4ebd80ce8096f.png)
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5 . 如图,在四棱锥
中,底面
是菱形,
,
平面
,
,点
,
分别为
和
中点.
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220421574721536/2220564689354752/STEM/94fa724f5a704273a11ad9a2198f007a.png?resizew=112)
(1)求证:直线
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b624742fe28db114e0554c6c87bff05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220421574721536/2220564689354752/STEM/94fa724f5a704273a11ad9a2198f007a.png?resizew=112)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf12905647aeeded72bbca21a63f319.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
2016-12-03更新
|
1846次组卷
|
11卷引用:2019届重庆市江津中学、合川中学等七校高三第三次诊断性考试(理科)数学试题
2019届重庆市江津中学、合川中学等七校高三第三次诊断性考试(理科)数学试题2015届吉林省长春市普通高中高三质量监测三理科数学试卷【全国省级联考】黑龙江省2018年普通高等学校招生全国统一考试仿真模拟(二)数学(理科)试题2019年上海市普陀区高三上学期期末统考数学试题浙江省2021届高三高考数学预测卷(二)2014-2015学年浙江省台州中学高二下学期第一次统练文科数学试卷【全国百强校】山西省临汾市临汾一中2018-2019学年高二下学期期中数学试题(理)上海市普陀区2018-2019学年高三上学期期中阶段测试数学试题重庆市江津中学、合川中学等七校2019-2020学年高三第三次诊断性考试数学(理)试题海南省华中师范大学琼中附属中学2020-2021学年高二上学期期中考试数学试题江苏省镇江市八校2020-2021学年高三上学期期中联考数学试题
6 . 已知点
是椭圆
上一点,
是椭圆的两焦点,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba7267be8fb3db5ec612fb9d8950239.png)
(1)求椭圆的两焦点坐标;
(2)设点
是椭圆上任意一点,如果
最大时,求证
、
两点关于原点
不对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba7267be8fb3db5ec612fb9d8950239.png)
(1)求椭圆的两焦点坐标;
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.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/1dde8112e8eb968fd042418dd632759e.png)
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2011·重庆江津·三模
7 . 已知
,
,
,数列
满足:
,
,
.
(Ⅰ) 求证:数列
等差数列;数列
是等比数列;(其中
);
(Ⅱ) 记
,对任意的正整数
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e686df657989b497adb0bc34e36f1ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf73e3a023663097379139d1d5199201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce5e63fa8065d74dff3b64334515d0d.png)
![](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/40ff1fe4cea465845205c90ddf3e4178.png)
(Ⅰ) 求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4853654c54327b54841b7e655ecbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec72a8e007177e78518e9129ac3967e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
(Ⅱ) 记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695950fe16f7972182bd2d0864e12feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95972f68fe7dcc6c10ebc8ee7bb5413d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次