名校
1 .
的二项展开式中,
项的系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96de34b48e464fd58efc3ace85d60b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3336c8ed5361c10c37300e41e03f9f2f.png)
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解题方法
2 . 已知平面向量
满足:
,
,
,设向量
(
为实数),则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76211d8756b3063ee12891dbe2121244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15320193a195e8180c8cb9a122d2bba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dccc334248c2047f11c78c7255e7622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa022d039f38823f0433e772fb47cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f327ca0c24e082653083b3e35549791f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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3 . “圆锥容球”是指圆锥形容器里放了一个球,且球与圆锥的侧面及底面均相切(即圆锥的内切球).已知某圆锥形容器的母线与底面所成的角为
,底面半径为2,则该圆锥内切球的表面积为______ .(容器壁的厚度忽略不计)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
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4 . 已知函数
,若
,则该函数的零点为______ .若对
,不等式
恒成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcc0c2e7d94cd5d97cec506cd838e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb1bbd495bb6477a9115925a994996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d7b5e60b398fcbb4513e5cc57f4782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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5 . 已知函数
的部分图像如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a111457797b17860a62e561bdb36f680.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f9e0d2ee27c0edf4ee241649fc36ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a111457797b17860a62e561bdb36f680.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/9c6fe0c8-e25d-464c-8db6-3e914a69c07a.png?resizew=153)
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2024-01-24更新
|
885次组卷
|
2卷引用:贵州省贵阳市普通中学2023-2024学年高一上学期期末监测考试数学试卷
6 .
的展开式中
的系数是______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56cd84bd6a078873141f2d6eca6839c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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7 . 若
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f720d401658fab0c895e0703a6407c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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8 . 函数
的图象向右平移
(其中
)个单位得到曲线
,若
在
处的切线方程是
,则曲线
的一条对称轴方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a7adda5ecdb6245e9229bc047e7ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2f4a9558e7322268b0cac11c9d9739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
9 . 直线
与抛物线
:
交于
两点,
,
在
的准线
上的射影分别为
,则四边形
绕准线
旋转一周所得几何体的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306b6e79f39d396ad32493c62224d8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ceb92b88602f8623ee9b034e1f4fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda1320df95cd1ad00b6a7135e83b200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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10 . 长为3的线段
的两个端点
和
分别在
轴和
轴上滑动,点
为线段
靠近点
的三等分点,则点
的轨迹方程为__________ .若直线
的方程为
,则点
到直线
的距离的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fc37ac7805d65dd49e2e54643e819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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