1 . 已知直线
经过椭圆
的左焦点
,且与椭圆
相交于
,
两点,
为椭圆的右焦点,
的周长为8,则此椭圆的短轴长为__________ ;弦长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4690597bc0883f8932494c135a11433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5585a42c8f07ad90b94ace9db3d78994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
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2 . 数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc1dda068b34ce0a8062dd790f03e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
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3 . 若函数
在其定义域内的给定区间
上存在实数
,满足
,则称函数
是区间
上的“平均值函数”,
是它的一个均值点.设函数
是区间
上的“平均值函数”,1是函数
的一个均值点,则所有满足条件的实数对
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680329b989b33dbbe139f055d56bc719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66826d2b9b583427e1122df4d2bc250f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9ffaa66becf55b2eb79179d8b50cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53cbf378fd68a08444f5a75d47fadbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b0c6d718f98fcef048ffb1e679581.png)
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解题方法
4 . 设函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e0dcfe20e16312dd0f390fa78529c.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f2c76c3244992f827f46a3bca87c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e0dcfe20e16312dd0f390fa78529c.png)
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5 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4da3443cd5c084304342dd42db942a5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4da3443cd5c084304342dd42db942a5.png)
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解题方法
6 . 在
中,
为边
上的动点,沿
将
折起形成直二面角
,当
最短时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6231cddd5c293f9c03d036ffd18a08b1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0214342424fb6a47671af68e183d82d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e040e4c24c122baf7e1763160a2d216e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6231cddd5c293f9c03d036ffd18a08b1.png)
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解题方法
7 . 已知函数
,
,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428cf62fe7ea5b4876ed211d13a274d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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8 . 数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ec90d135ea72ac884a8e1415436dcd.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a5b2d7284d48e2c093a7b57e8e4981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ec90d135ea72ac884a8e1415436dcd.png)
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名校
解题方法
9 . 已知角
的终边经过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76b94fa972f92861f2fb70bed2ff9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
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2024-01-04更新
|
448次组卷
|
7卷引用:广西壮族自治区玉林市博白县中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
10 . 若直线
与函数
的图象有两个公共点,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32fca7406493e4e31c5b8e0c86c60f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927adc3ef749d09e76374ffbd7c50da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次