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设f(x) = 4x - 2x + 1,则f-1(0) = ________。
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若2a=5b=10,则1/a+1/b=【 】
计算:[1-(0.5)-2]÷(-27/8)1/3.
计算:2-1/2+20/√2 + 1/(√2-1).
化简:(√6+√2)/(√6 - √2).
计算(4/2√2 )2+√2的值为【】
英:Find the value of , when x=1.汉:当x=1时,求之值.
A man borrows $5000 at 4 percent compound interest, if the principal and interest are to be repaid by 10 equal instalments, find the amount of each instalment; having given 1g 1.04 =0.0170333 and lg675565=5.829667.
试求 (根号内至无穷)
∛17与∜21之两数孰大________.
方程=5-16的所有正实数解的乘积为________.
对任意不等于1的正数a,函数f(x)=loga( x+3)的反函数的图像都经过点P,则点P的坐标为______.
函数y=(0.2)-x+1的反函数是【 】
函数y=(ex-1)/(ex+1)的反函数的定义域是__________.
如果直线y=ax+2与直线y=3x-b关于关于直线y=x对称,那么【 】
函数y=(ex - e-x)/2的反函数【 】
函数y=2-x+1(x>0)的反函数是【 】
已知f(x)=2x+b的反函数为f-1(x),若y=f-1(x)的图像经过点Q(5,2),则b=______.
已知f(x)=3/x+2,则f-1 (1)=__________.
函数f(x)=1/x (x≠0)的反函数f-1 (x)=【 】
若函数y=f(x)的反函数是y=g(x),f(a)=b,ab≠0,则g(b)等于【 】
若a,b,c为方程式x³+px²+qx+r=0之根,试求以a-1/bc,b-1/ca,c-1/ab为根之方程式.
北京大学解方程
设a,b,c为方程式x³+px+q=0之三根,Sn=an+bn+cn.(1)展开下列行列式为p,q之函数∆=(2)表明∆>0时,a,b,c为三个不同实根;∆<0时,a,b,c三根中有一为实根,其余为二相配虚根;∆=0时,a,b,c为三实根且至少有二根相等.
解无理方程式+=,并就其结果讨论之.
设一三角形三边之长为方程式 x³ +px² + qx +r = 0 三根,式中 p,g,r 均为已知数,求此三角形之面积.
求方程式23x-31y=5,xy=13/32之解.
若方程式ax³+3bx²+3cx+d=0有二相等之根,则其系数间之关系为(bc-ad)²=4(ac-b²)(bd-c²)试证之.
There are two groups of boys on the street corner. One boy leaves the first group and joins the second. The groups are then equal in size. If one boy had left the second group and joined the first, the first group would then have been three times as large as the second. Find the original size of each group.
Solve and verify x²+3x-6(x²+3x-3)1/2+2=0
Determine the real value of k, so that the roots of equation, (k - 1)x² - kx - 2x + 4 = 0, may be real and equal.