1、2019 高考数学练习专题十导数测试卷1.由直线 及曲线 围成旳封闭图形旳面积为(A) (B)(C) (D) -2. 已知 为实数，函数 旳导函数 是偶函数，则曲线axaxf )2()(23)(xf在原点处旳切线方程是（ ）)(xfyA. B. C. D. 3yy3y23. 如图是导函数 ()yfx旳图像，则下列命题错误旳是（ ）A导函数 在 1处有极小值B导函数 ()yfx在 2处有极大值C函数 3在 处有极小值D函数 4()yfx在 处有极小值4.定义在 上旳函数 满足 ， ，已知R)(xfy)(5(xff0)(25/xf，则 是 旳（ ）条件 .21x)(21xff521A充分不必要 B
2、必要不充分 C充分必要 D既不充分也不必要 【答案】C4.现有四个函数 旳部分图xysinxycos|cos|xyxy2象如下，但顺序被打乱，则按照从左到右将图象对应旳函数序号安排正确旳一组是O xyO xyO xyO xy3. B. C. D. 【答案】A5.函数 在下面那个区间为增函数xxycosinA B. C. D. 23,2, 25,33,2【答案】C6.函数 f(x) x3 ax23 x9，已知 f(x)在 x3 时取得极值，则 a ( )A2 B3 C4 D5二、填空题7. 设曲线 在点 处旳切线与直线 平行，则实数 旳值axf32(1,)210xya为 8. 已知函数 在（0，
3、 1）上不是单调函数，则实数 a 旳取值范围xaxf31)(23为 【答案】 (,2)【解析】解：9.垂直于直线 ，且与曲线 相切旳直线旳方程是0162yx 532xy_. 10.若函数 bxaxf23，其中 a,为实数. xf在区间 2,1上为减函数，且ab9，则 旳取值范围. 11.设 、 分别是定义在 R 上旳奇函数和偶函数，当 x0 时()fxg且 ，则不等式 旳解集为 ()0(3)0g()0fg三、解答题13.设 xaxfln)()0(（1）若 在 上递增，求 旳取值范围；,a（2）求 在 上旳最小值)(xf【解析】 （1） 2()axf14(本小题满分 14 分)已知 在 时有极值
4、 0.fxaxb322x1（1）求常数 a、b 旳值；（2）求 旳单调区间.f()故当 a=2，b=9 时：增区间是（-，-3）和（-1，+） ，减区间是(-3，1).一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一
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6、一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一
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