I have a problem with nikon D7000??? help me soooooon????

[SmartWombat]

It looks as if you used flash, which is a blueish light, like daylight.
When you do that, the camera automatically uses the flash white balance.

The camera probably is not going to get this right - you need to start making changes manually.

One way to solve this is to use a CTO colour filter gel over the flash.
That makes the flash light more orange, closer to the tungsten light.

If you shoot in RAW mode (not JPEG) then you can fix the colour afterwards, once it's all balanced to the same (orange) light you can adjust it in the editor of your choice like Photoshop, or Lightroom, or Paint Shop Pro.

But you will still get that mix of blurring and sharp images because the camera is trying to balance the flash light with the background light, and to do that it needs a long exposure (slow shutter time) to get the background.

You can speed up the shutter if you turn up the ISO speed, but the image will get more grainy.
The higher the ISO setting, the shorter the shutter speed can be and the less blurred the dancers will be.
But you'll still need that CTO gel on the flash for colour balance.

[Franglais]

There are several problems with your photos. I have read the camera settings you used from the EXIF data in your images. Let me try to explain.

Let's take the image with the gentleman with the green TShirt and look at the "perfect style every time" on the person at his right. See how there are two sets of letters, one white and fairly sharp and underneath a blurred orange set of letters?

1. The blurred orange set of letters was done by room lighting. The letters are blurred because you used a slow shutter speed (set manually) of 1/8-1/15s on a moving subject. If you want to shoot a moving subject by room lighting you must have a shutter speed of at least 1/125s, which means increasing the ISO setting to make the camera more sensitive to light. You were using 1600 ISO which gave you 1/15s - to get 1/125s you need to use 12800 ISO. The D7000 can do it so don't hesitate.

2. The white sharp letters were done by flash. In the middle of the long, blurry exposure by room lighting the flash went off for an instant and gave you a sharp image but the effect is unnatural. You should either use only room lighting as described in solution 1 or else only use flash. Set the camera ISO to a low value (400 ISO), shutter speed to 1/125s and aperture to f8 and the room lighting will almost be eliminated from the picture. You will just have the ugly lighting of the built-in flash but at least it will be sharp.

This situation is actually quite difficult to shoot. To do well it needs some extra equipment. This is what I would do:

- If I decided to shoot by flash then I would use a cobra flash like the SB700 pointed upwards at the ceiling, Flash white balance, 800 ISO and Program mode. This gives me a result where the subject is lit by what looks like normal room lighting (but is in fact the flash) and the background gradually fades away to about 2 stops underexposure (room lighting)

- If I decided to shoot by room lighting then I would use my 35mm f1.8 available-light lens at 6400 ISO. Zoom lenses like the 18-105 that you're using just don't let through enough light (F4.8) to be useful in this situation.