解题方法
1 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3015dfa8241ea34a5fe59ce4b64e4c4d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3015dfa8241ea34a5fe59ce4b64e4c4d.png)
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2 . 已知函数
,若在闭区间
上存在
使
成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c157f18b94a5b4851ad680938e26bc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6257a9864ba40e27ef9cd745522d9ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee1c7bbd54aab95244784c5318587dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ef699b2c0bcdff0c92d5ed5acb8432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
3 . 已知点
,向量
,若点
是线段
靠近点
的三等分点,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/371b9a76a1a7fba17444f66f3b002761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
4 . 定义离心率是
的椭圆为“黄金椭圆”.已知椭圆
是“黄金椭圆”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .若“黄金椭圆”
的两个焦点分别为
,
,
为椭圆
上异于顶点的任意一点,点
是
的内心,连接
并延长交
于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978311c18754ba498c1ee0dce2f89482.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114c0db91c76cfbe5924fb52fa30f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddf5a506a90d09af01b81db43f17e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978311c18754ba498c1ee0dce2f89482.png)
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名校
5 . 已知函数
,其中
表示
,
中的最大值,若函数
有3个零点,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b532b68bfc793ca4826283d97458ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385e1459ada24f66206d0de24a85ad0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 若函数
在
内有最小值,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac589b3eb56e5c3e290fdd20aecff903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523680282c9fcd47dbc161539d49a6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知点
,直线
与
轴相交于点
,则
中,
边上的高
所在直线的方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68b0d8f1e6546a3bba0f78e661acad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c83390d0755e1b72755cf37490351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
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8 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87564738fb1cc44f35fda7cf961cdc70.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c194f17325e5c2ec60ca016b8b4aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87564738fb1cc44f35fda7cf961cdc70.png)
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2卷引用:湖北省十堰市东风高级中学2023-2024学年高二下学期6月阶段性考试数学试题
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9 . 同种规格的产品,甲组生产占40%,优品率为10%;乙组生产占60%,优品率为20%,将两组生产的产品混合,从混合产品中任取1件.则取到这件产品是优品的概率为______ ;若取出一件产品是优品的条件下,是甲组生产的产品的概率为______ .
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2卷引用:湖北省十堰市东风高级中学2023-2024学年高二下学期6月阶段性考试数学试题
名校
解题方法
10 . 在
中,内角
,
,
所对的边分别为
,
,
,若
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.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/3bf7e2bd3d020fb7394e0988fa4af6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5830bf026e686d59ae1a774f7e44074f.png)
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4卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题
湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题江苏省连云港市新海高级中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题4 解三角形中的最值与范围问题【练】(高一期末压轴专项)(已下线)【高一模块一】难度3 小题强化限时晋级练(基础3)