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考生注意:这份试卷共有26道试题,满分150分。一、填空题 (本大题满分30分)本大题共有10题,只要求直接填写结果,每个空格填对得3分,否则一律得零分。 1.求值:cos 5π/8 cos π/8=____。 2.(x+1/x)~8的展开式中1/x~2的系数是____(结果用数值表示)。 3.函数y=sin~2x-sinxcosx+cos~2x的最大值是____。 4.方程log_5(x+1)-log_(1/5)(x-3)=1的解是____。 5.计算(3~(1/2)+i)~6=____(i是虚数单位)。 6.如果直线l与直线x+y-1=0关于y轴对称,那么直线l的方程是____。 7.已知圆台的下底面半径为8cm,高为6cm,母线与下底面成45°的角,那么圆台的侧面积是____cm~2(结果中保留π)。 8.已知函数y=f(x)的反函数是f~(-1)(x)=x~(1/2)-1(x≥0),那么函数y=f(x)的定义域是
Candidates Note: This paper has a total of 26 questions, out of 150 points. First, fill in the blanks (this topic marks out 30 points) This big question has a total of 10 questions, only to directly fill in the results, each space to fill in 3 points, otherwise all zero points. 1. Evaluation: cos 5π/8 cos π/8=____. 2. The coefficient of 1/x~2 in the expansion of (x+1/x)~8 is ____ (the result is represented by a numerical value). 3. The maximum value of the function y=sin~2x-sinxcosx+cos~2x is ____. 4. The solution to the equation log_5(x+1)-log_(1/5)(x-3)=1 is ____. 5. Calculation (3~(1/2)+i)~6=____(i is an imaginary unit). 6. If the line l and the line x+y-1=0 are symmetric about the y-axis, then the equation for the line l is ____. 7. It is known that the radius of the bottom surface of the circular table is 8 cm, the height is 6 cm, and the angle between the generatrix and the bottom surface is 45°, then the lateral area of the circular table is _____cm~2 (π is retained in the result). 8. The inverse function of the known function y=f(x) is f~(-1)(x)=x~(1/2)-1(x≥0), then the function y=f(x) is defined Domain is