名校
1 . 已知点D,P在锐角
所在的平面内,且满足
,
.
(1)若
,求实数
,
的值;
(2)已知
,其中
为
的面积.
①求证:
;
②求
的最小值,并求此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8488ec91652ad560475f6d45c8e20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59cbb44ed46540f65fa7efb5e313144.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57766a96c4b7e39bc224fa5917c6be22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ec4fc7447298cbd6f51ee9977b005f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2aa7ba35117b8963954c65934c8f8c.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39344ad1a4a45a1023de6b5bdda76546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
您最近一年使用:0次
名校
解题方法
2 .
它们的终边分别与单位圆相交于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b73121ed0f193ea2b7737b6e50f2402.png)
(1)求
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bb7de4f6f5d7a00ee34e6ec8c29eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b73121ed0f193ea2b7737b6e50f2402.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01df0281109e71a6d0ce8fe477618999.png)
您最近一年使用:0次
2021-09-16更新
|
237次组卷
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4卷引用:河南省非凡吉创2020-2021学年高一下学期五月调研卷数学试题
3 . 如果对于三个数
、
、
能构成三角形的三边,则称这三个数为“三角形数”,对于“三角形数”
、
、
,如果函数
使得三个数
、
、
仍为“三角形数”,则称
为“保三角形函数”.
(1)对于“三角形数”
、
、
,其中
,若
,判断函数
是否是“保三角形函数”,并说明理由;
(2)对于“三角形数”
、
、
,其中
,若
,判断函数
是否是“保三角形函数”,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4889b4b46d3cd6dd677d200bdf4914fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de447d5e47448d0f15a7535bf3ce0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)对于“三角形数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dd0c52aca1675c17b9a019aa7901e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfdf1828a8dfbd475598d3c69e86414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49065dba37bda632460abb2929f6ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457eb5e0000350b102d387a80cf3476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)对于“三角形数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0643e854e863263f396fa25ab54d44e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae43a9e2f9976ced1f55c62d24c80bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbc8ca5a7888a06f1aab92f76f62a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588bbf780d49cf4d29802c2e4126f112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
您最近一年使用:0次
2021-07-24更新
|
1920次组卷
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6卷引用:上海市复兴高级中学2020-2021学年高一下学期期中数学试题