名校
1 . 如图,D、E分别是
的边BC的三等分点,设
,
.
![](https://img.xkw.com/dksih/QBM/2020/12/9/2610304280068096/2611403221458944/STEM/71e572ec-f84d-43e5-b7e8-90ff954a5f07.png)
(1)用
分别表示
;
(2)若
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694a3728ebde723ceb21bf9d90c14055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
![](https://img.xkw.com/dksih/QBM/2020/12/9/2610304280068096/2611403221458944/STEM/71e572ec-f84d-43e5-b7e8-90ff954a5f07.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd246148371f6f825f94e68480190f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67f820fc15be66540e3e17c4afa43cc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238673a73dda7a684e65fda5e654c885.png)
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2020-12-10更新
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1175次组卷
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6卷引用:宁夏固原第一中学2021届高三上学期第四次月考数学(理)试题
2 . (1)在直角坐标系
中,已知点
,
,
,点
在
三边围成的区域(含边界)上.若
,求
;
(2)在平行四边形
中,
,
,连接
、
相交于点
,若
,求实数
与
的乘积.
![](https://img.xkw.com/dksih/QBM/2017/11/14/1817079258783744/1818439297310720/STEM/8c3d78be78564bc4b44526c759d309fd.png?resizew=277)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a14da6394d9cbdb3ce781cff511b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9827b42f7084defde57776a438eefa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d3c69008009bed1a23c397fb7b99be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129d003027095df9b8db1eef1345bc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07bf7608da5d60e31c0973fd8ac2ecb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02f2232f758f277a7449faba0871c04.png)
(2)在平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6335eb644513a522541b9542970e2469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e0f95d849659f39e51a1a825bdb90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21cd65e6f7ff425035aead4203b3a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://img.xkw.com/dksih/QBM/2017/11/14/1817079258783744/1818439297310720/STEM/8c3d78be78564bc4b44526c759d309fd.png?resizew=277)
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