第四单元测试题
一 选择题：本大题共12小题，每小题4分，共48分. 在每小题给出的四个选项中只有一项是符合题目要求，把正确选项写在表格中.
题号 | 1 | 2 | 3 | 4 | 5 | 6 |
答案 | ||||||
题号 | 7 | 8 | 9 | 10 | 11 | 12 |
答案 | ||||||
1.若a>0,则下列计算正确的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=69&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"69","h":"36","dataType":"gif","c":"word/media/image1.png"})
B.
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=76&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"76","h":"33","dataType":"gif","c":"word/media/image3.png"})
D.
2.已知a>0，下列式子中正确的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=79&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"79","h":"24","dataType":"gif","c":"word/media/image5.png"})
B. C. D.
3.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=161&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"161","h":"24","dataType":"gif","c":"word/media/image9.png"})
的图像经过点P，则点P的坐标是（ ）；
A.（0，1） B.（1，0） C. （0，5） D.（5，0）
4.函数![](https://wkrtcs.bdimg.com/rtcs/image?w=139&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"139","h":"24","dataType":"gif","c":"word/media/image10.png"})
在(-内是减函数，则a的取值范围是（ ）；
A.a＞1 B.0＜a＜1 C.a＞1或0＜a＜1 D.a![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"13","h":"13","dataType":"gif","c":"word/media/image12.png"})
R
5.“以a为底的x的对数等于y”记做（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=71&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"71","h":"24","dataType":"gif","c":"word/media/image13.png"})
B. C. D.
6.已知x＞0,y＞0,下列式子正确的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=140&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"140","h":"21","dataType":"gif","c":"word/media/image17.png"})
B.
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=115&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"115","h":"21","dataType":"gif","c":"word/media/image19.png"})
D.
7．下列函数中是偶函数的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=71&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"71","h":"23","dataType":"gif","c":"word/media/image21.png"})
B. C. D.
8.下列对数中是正数的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=61&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"61","h":"24","dataType":"gif","c":"word/media/image25.png"})
B. C. D.
9．函数![](https://wkrtcs.bdimg.com/rtcs/image?w=44&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"44","h":"24","dataType":"gif","c":"word/media/image29.png"})
与的图像关于（ ）；
A．原点对称 B.x轴对称 C. 直线y=1对称 D.y轴对称
10.函数![](https://wkrtcs.bdimg.com/rtcs/image?w=116&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"116","h":"24","dataType":"gif","c":"word/media/image31.png"})
是（ ）；
A.偶函数 B.奇函数 C.非奇非偶函数 D.既是奇函数又是偶函数
11.如果x＞y＞0且0＜a＜1，那么下列结论中正确的是（ ）；
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=53&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"53","h":"21","dataType":"gif","c":"word/media/image32.png"})
B. C. D.
12.设3＜![](https://wkrtcs.bdimg.com/rtcs/image?w=67&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"67","h":"41","dataType":"gif","c":"word/media/image36.png"})
,则下列结论正确的是（ ）。
A.-1＜x＜3 B.x＜-1或x＞3 C.-3＜x＜-1 D.1＜x＜3
二 填空题：本大题共6小题，每小题4分，共24分. 把答案填在题中横线上.
1.![](https://wkrtcs.bdimg.com/rtcs/image?w=32&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"32","h":"24","dataType":"gif","c":"word/media/image37.png"})
化成指数形式是 .
2．![](https://wkrtcs.bdimg.com/rtcs/image?w=45&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"45","h":"41","dataType":"gif","c":"word/media/image38.png"})
= .
3．![](https://wkrtcs.bdimg.com/rtcs/image?w=96&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"96","h":"24","dataType":"gif","c":"word/media/image39.png"})
= .
4.函数![](https://wkrtcs.bdimg.com/rtcs/image?w=139&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"139","h":"24","dataType":"gif","c":"word/media/image40.png"})
.
5.函数![](https://wkrtcs.bdimg.com/rtcs/image?w=105&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"105","h":"24","dataType":"gif","c":"word/media/image41.png"})
的定义域是 .
6.指数函数![](https://wkrtcs.bdimg.com/rtcs/image?w=68&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"68","h":"24","dataType":"gif","c":"word/media/image42.png"})
过点（2，9），则f(-1)= .
三 解答题：本大题共4小题，每小题7分，共28分. 解答应写出推理、演算步骤.
1.计算：![](https://wkrtcs.bdimg.com/rtcs/image?w=165&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"165","h":"45","dataType":"gif","c":"word/media/image43.png"})
2．计算：![](https://wkrtcs.bdimg.com/rtcs/image?w=199&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"199","h":"25","dataType":"gif","c":"word/media/image44.png"})
3．已知![](https://wkrtcs.bdimg.com/rtcs/image?w=107&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"107","h":"41","dataType":"gif","c":"word/media/image45.png"})
求证f(x)是奇函数.
4．解不等式![](https://wkrtcs.bdimg.com/rtcs/image?w=91&md5sum=93f7cfdad6bb2d245ca2950b095f4003&sign=418c69cd19&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=19&ipr={"t":"img","w":"91","h":"41","dataType":"gif","c":"word/media/image46.png"})
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